Capacitor and AC Circuit Principles
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Questions and Answers

What happens to the rate of current flow as a capacitor approaches full charge?

  • It reduces until it becomes zero. (correct)
  • It remains constant.
  • It increases steadily.
  • It fluctuates regularly.
  • If the capacitance in a circuit is increased, how does it affect the capacitive reactance?

  • Capacitive reactance remains unchanged.
  • Capacitive reactance decreases. (correct)
  • Capacitive reactance increases.
  • Capacitive reactance becomes negative.
  • What is the effect of frequency on capacitive reactance according to the relationship described?

  • Reactance equals frequency multiplied by capacitance.
  • Frequency has no effect on reactance.
  • Reactance is inversely proportional to frequency. (correct)
  • Reactance is directly proportional to frequency.
  • In an AC capacitive circuit, how does the phase relationship between current and voltage compare to that of an AC inductive circuit?

    <p>They are exactly opposite. (A)</p> Signup and view all the answers

    What does the time constant in a capacitive circuit determine?

    <p>The time it takes for the charged current to decay. (D)</p> Signup and view all the answers

    At which position does the induced EMF reach its maximum value?

    <p>Position B (C)</p> Signup and view all the answers

    What happens in position C regarding the electrical output of the DC generator?

    <p>No EMF is generated. (C)</p> Signup and view all the answers

    What is the role of the commutator during generator operation?

    <p>To maintain a constant current direction in the circuit. (C)</p> Signup and view all the answers

    In which position does a direct short circuit occur due to the brushes contacting two segments?

    <p>Position A (B)</p> Signup and view all the answers

    What is the effect of the brushes after the loop rotates past the 180° point?

    <p>They switch contact to ensure consistent current flow. (C)</p> Signup and view all the answers

    What does commutation in a DC generator closely resemble?

    <p>Transformation of AC voltage into DC voltage. (C)</p> Signup and view all the answers

    Why is there a risk of an arc causing damage to the commutator at certain positions?

    <p>High current flow due to short circuits. (D)</p> Signup and view all the answers

    What happens to the current direction in the loop during generator operation?

    <p>It alternates but is redirected by the commutator. (D)</p> Signup and view all the answers

    What is the purpose of binding steel wire around the armature coils?

    <p>To prevent displacement by centrifugal force (D)</p> Signup and view all the answers

    How is sparking at the brushes of a generator primarily mitigated?

    <p>By employing screening and suppression techniques (A)</p> Signup and view all the answers

    What is the role of the vacuum-impregnation with silicone varnish in the armature windings?

    <p>To maintain insulation resistance in various conditions (B)</p> Signup and view all the answers

    What connects the ends of the coils to the commutator in the generator?

    <p>Silver brazing (D)</p> Signup and view all the answers

    What component in the generator is responsible for carrying the drive shaft through the armature shaft?

    <p>A splined drive shaft (A)</p> Signup and view all the answers

    What is the primary function of the brush holders in a generator?

    <p>To secure the brushes and limit wear (C)</p> Signup and view all the answers

    What type of terminals do the free ends of the pigtails from the brushes typically terminate in?

    <p>Spade or plate type terminals (D)</p> Signup and view all the answers

    In the context of generator design, what is the importance of steel laminations in the armature?

    <p>To reduce eddy current losses and enhance magnetic flux (A)</p> Signup and view all the answers

    What happens to the instantaneous values of the power wave compared to the current and voltage values in a resistive circuit?

    <p>They can be less than the instantaneous voltage and current values. (C)</p> Signup and view all the answers

    How is average power in a resistive circuit determined from the maximum power value?

    <p>Average power is half of the maximum positive power value. (B)</p> Signup and view all the answers

    What relationship exist between voltage and current waves in a resistive circuit?

    <p>They are in phase and pass through zero at the same time. (A)</p> Signup and view all the answers

    What is the approximate product of RMS values of voltage and current if V = 0.707V and I = 0.707A?

    <p>4.0 W (A)</p> Signup and view all the answers

    What is the primary function of the series winding in a starter generator unit?

    <p>To provide initial torque for starting (B)</p> Signup and view all the answers

    When the starter generator unit operates as a starter, which of the following windings is primarily unused?

    <p>Shunt field winding (A)</p> Signup and view all the answers

    In the context of power calculation, what does multiplying two numbers less than one result in?

    <p>A value less than either of the original numbers. (B)</p> Signup and view all the answers

    What defines the axis of the power wave in a resistive circuit?

    <p>The average value of power. (B)</p> Signup and view all the answers

    In the context of a starter generator unit, which windings are utilized when it operates as a generator?

    <p>Shunt, compensating, and commutating windings (B)</p> Signup and view all the answers

    What is the typical voltage and current required for starting in a starter generator unit?

    <p>24Vdc and 1500amperes (D)</p> Signup and view all the answers

    Which statement is true about inductive reactance in relation to frequency?

    <p>Inductive reactance increases with lower frequency voltages. (A)</p> Signup and view all the answers

    What effect does multiplying an RMS voltage value by an RMS current value have in an AC circuit?

    <p>It calculates the average power consumed in the circuit. (C)</p> Signup and view all the answers

    What waveform characteristic can be expected when the changeover switch is operated at 2-second intervals in an AC circuit?

    <p>The voltage and current vary sinusoidally (B)</p> Signup and view all the answers

    What is the purpose of the compensating and commutating windings in a generator?

    <p>To ensure sparkless commutation from no load to full load (D)</p> Signup and view all the answers

    What type of electrical current alternates its direction at regular intervals?

    <p>Alternating current (AC) (A)</p> Signup and view all the answers

    Which component is not used during the operation of the starter generator as a generator?

    <p>Series winding (C)</p> Signup and view all the answers

    What is the RMS value of an AC current compared to its peak value?

    <p>It is 0.707 times the peak value. (C)</p> Signup and view all the answers

    Which statement correctly describes the average value of sine wave AC?

    <p>It is 0.637 times the maximum value. (A)</p> Signup and view all the answers

    How does the calibration of DC meters for measuring AC values impact their readings?

    <p>They respond to average values but are calibrated to read RMS. (A)</p> Signup and view all the answers

    What characteristic differentiates a triangular waveform from a sinusoidal waveform in AC applications?

    <p>Triangular waveforms are used primarily as electronic signals. (C)</p> Signup and view all the answers

    What is the relationship between the RMS current and the peak current in a sine wave AC circuit?

    <p>I RMS equals I PEAK divided by 0.707. (A)</p> Signup and view all the answers

    In what instance is the average value of a DC waveform equal to its maximum value?

    <p>When the waveform is entirely linear. (C)</p> Signup and view all the answers

    Which of the following statements about AC waveforms is true?

    <p>Different AC waveforms can have varying shapes. (A)</p> Signup and view all the answers

    If a sine wave AC with a peak value of 1 amp is applied, what is the approximate temperature rise if compared to a 1 amp DC current?

    <p>It raises the temperature by 70.7°C. (A)</p> Signup and view all the answers

    Flashcards

    Rectification

    The process of converting alternating current (AC) to direct current (DC) by reversing the current direction in each cycle.

    Commutator

    A device that reverses the direction of current flow in a loop, ensuring a unidirectional current in the external circuit.

    Zero EMF Position

    The point in the generator's rotation where the loop is not cutting any magnetic field lines, resulting in zero induced electromotive force (EMF).

    Maximum EMF Position

    The point in the generator's rotation where the loop cuts the maximum number of magnetic field lines, generating the highest induced EMF.

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    Short Circuit in DC Generator

    A short circuit occurs when the brushes contact both segments of the commutator simultaneously, resulting in a high current flow.

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    Commutation

    The process by which the commutator switches the contacts between the brushes and the coils, ensuring that current always flows in the same direction in the external circuit.

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    Faraday's Law

    The principle that the induced EMF in a conductor is proportional to the rate of change of magnetic flux through the conductor.

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    DC Generator

    A device that converts mechanical energy into electrical energy by using a rotating loop in a magnetic field.

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    Starter Generator

    A type of electric generator designed to both start a motor and generate electricity.

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    Series Winding

    A heavy winding connected in series with the armature in a starter generator.

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    Shunt Winding

    A winding connected in parallel with the armature, providing a constant field for operation as a generator.

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    Compensating Winding

    A winding that improves commutation by creating a magnetic field that cancels out armature reaction.

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    Interpoles (Commutating Poles)

    Special windings on the poles of a DC machine that generate a magnetic field to counteract armature reaction and provide smooth commutation.

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    Hollow Shaft in the Generator

    A hollow shaft with splines to fit a drive shaft, ensuring the armature rotates. This allows power transfer from the drive shaft to the generator.

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    Armature Core

    Made up of steel laminations, forms the heart of the armature, and provides a secure base for armature windings.

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    Armature Windings

    Groups of copper windings that create the magnetic field in the generator. They are carefully placed in slots within the armature core.

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    Brushes

    Thin strips of copper, they connect to the armature windings and slide against the commutator segments, transmitting the generated current to the external circuit.

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    Pigtails

    Flexible copper braid, attached to the brushes, extending to terminals, enabling connectivity to the generator's main terminals.

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    Spark Suppression

    The process of ensuring that no sparking occurs at the brushes. This is vital to prevent interference with radio signals.

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    Screening

    A method to shield the generator from interfering with radio signals. It involves enclosing the generator in a metallic enclosure to prevent radio waves from escaping.

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    RMS Value (Root Mean Square)

    A method used to determine the effective value of an alternating current (AC) by considering its heating effect. It represents the equivalent DC current that would produce the same amount of heat in a resistor.

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    Peak Value (AC)

    The measure of the maximum value of an alternating current (AC) or voltage wave.

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    Average Value (AC)

    The average value of an alternating current (AC) is calculated by averaging all the instantaneous values over half a cycle.

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    Square Wave

    A type of AC waveform where the voltage or current stays at a constant level for a period of time, then abruptly changes to another constant level, and repeats this cycle.

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    Triangular Wave

    A type of AC waveform that rises and falls linearly in a triangular shape.

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    Relationship Between RMS and Average Values

    The relationship between RMS and average values is important for understanding how AC is measured and used in practical applications. For a DC waveform, the average value is the same as the maximum value.

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    Sine Wave

    The most common type of AC waveform, characterized by a smooth, sinusoidal shape.

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    Types of AC Waveforms

    Different types of AC waveforms are used in electronics, each with specific characteristics and applications.

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    In-Phase Voltage and Current in a Resistive AC Circuit

    In a resistive AC circuit, the voltage and current waves are in phase, meaning they reach their maximum and minimum values at the same time, and they pass through zero at the same time going in the same direction.

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    Average Power in a Resistive AC Circuit

    The average power in a resistive AC circuit is equal to half of the maximum positive power value.

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    Instantaneous Power in a Resistive AC Circuit

    The instantaneous power in a resistive AC circuit is calculated by multiplying the instantaneous voltage and current values at any point in time.

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    Power Wave Frequency in a Resistive AC Circuit

    The power wave in a resistive AC circuit has a frequency twice that of the voltage and current waves.

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    Inductive Reactance (XL)

    Inductive reactance (XL) is the opposition to current flow offered by an inductor in an AC circuit. It increases with increasing frequency.

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    Relationship Between XL, f, and L

    Inductive reactance is directly proportional to the frequency (f) of the AC voltage and the inductance (L) of the inductor.

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    Effect of Frequency on Current in Inductive Circuits

    A low frequency AC voltage allows more time for the current to rise through an inductor, resulting in higher current flow compared to a high frequency voltage.

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    Formula for Inductive Reactance

    The relationship between inductive reactance (XL), frequency (f), and inductance (L) is represented by the formula: XL = 2πfL.

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    Time Constant (Capacitive Circuit)

    The time constant of a capacitive circuit is a measure of how quickly a capacitor charges or discharges. It is directly proportional to the capacitance and the resistance of the circuit.

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    Capacitive Reactance (Xc)

    Capacitive reactance (Xc) is the opposition to current flow in an AC circuit due to a capacitor. The higher the reactance, the more the capacitor resists current flow.

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    Capacitance and Capacitive Reactance

    Capacitive reactance is inversely proportional to capacitance. This means that as capacitance increases, capacitive reactance decreases, allowing more current to flow.

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    Frequency and Capacitive Reactance

    Increasing frequency in an AC circuit reduces capacitive reactance. This is because the capacitor charges and discharges more quickly with higher frequencies, allowing more current to flow.

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    Phase Relationship (Capacitive Circuit)

    The phase relationship between current and voltage in an AC capacitive circuit is opposite to that of an inductive circuit. Voltage lags behind current by 90 degrees.

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    Study Notes

    Magnetism and Shielding

    • Sparking from generators and motors creates electromagnetic waves, interfering with electronic and radio equipment.
    • Braided screens are grounded to the main earth system to prevent ground loops.
    • Screening using metallic casings eliminates interference effectively.
    • Output supply cables are screened to prevent direct radiation.
    • Filters (chokes and condensers) are used to prevent interference conducted along cables.
    • Filters are crucial in minimizing electromagnetic interference.
    • Coaxial cables and screened cables are used for effective signal protection.
    • Skin effect at higher frequencies reduces the efficiency of screened cables.
    • Bonding systems and static dischargers improve the effectiveness of screening for electronics.

    DC Motor/Generator Theory

    • Electrical equipment in airplanes relies on energy from generators, which convert mechanical into electrical energy.
    • A DC generator converts mechanical energy to direct current (DC) electricity.
    • Basic principles involve a coil rotating in a magnetic field, inducing a voltage in the coil's conductors.
    • Slip rings in a simple generator connect the rotating coil to an external circuit, whereas a commutator in a DC generator reverses the current direction, creating DC voltage.
    • The rotating parts (coil and commutator) are called the armature.
    • Commutation converts alternating current (AC) to direct current (DC).
    • The commutator ensures consistent DC flow in the external circuit.
    • Arcing can occur between brushes and the commutator, potentially damaging the device, so brushes are carefully placed in neutral planes for DC voltage/current generation.

    Generator Classifications

    • Generators are classified based on how their magnetic circuits are energized.
    • Permanent magnet generators, separately excited generators, and self-excited generators.
    • Self-excited generators are powered by current produced by the machine itself, categorized by how the fixed windings (electromagnetic field and armature windings) are connected (shunt, series, or compound).
    • Aircraft DC power systems often use self-excited shunt-wound generators.

    Self-Excited Shunt-Wound Generators

    • Common type in aircrafts; high-efficiency is needed;
    • They are described by the configuration of the field windings connected in parallel with the armature.
    • The field winding has high resistance relative to the armature, which helps produce consistent voltage changes. The arrangement is highly efficient.
    • The physical structure of a typical four-pole generator includes a yoke (housing), armature (rotating parts), and end frames.
    • Components like the yoke, armature, and end frames are carefully assembled for effective operation.

    DC Motors

    • DC motors convert electrical energy to mechanical energy, reversing the function of a generator.
    • Types include series, shunt, and compound.
    • Series motors provide high starting torque, useful for starting heavy loads quickly.
    • Shunt motors have relatively constant speeds under varying loads, making them suitable for applications with a constant demand.
    • Compound motors combine the features of series and shunt motors, suitable for variable load conditions.

    AC Theory Introduction

    • Alternating current (AC) periodically reverses its direction.
    • AC current can change over time, as shown in a waveform.
    • AC voltage changes with time in a sinusoidal pattern and is indicated by a waveform.
    • Resistor circuits use AC just as easily as DC given the same frequency requirements.

    The Elementary Generator

    • Electricity is produced when a conductor moves through a magnetic field.
    • An armature loop rotating within a magnetic field generates voltage, picked up by a slip ring/brush arrangement.
    • The waveform of this generated voltage is a sine wave.
    • The generator's output voltage changes throughout a cycle of 360 degrees.

    Period

    • The period of an AC waveform is the time required to complete one full cycle.
    • Measured in seconds, often represented as T.
    • Related to frequency, a measure of the number of cycles occurring in 1 second, related to 1/T.

    The Cycle

    • The term "cycle" represents one complete variation of an AC voltage from positive peak to negative peak then back to positive peak.
    • Frequency measures the number of cycles per second, in units of Hertz (Hz).
    • Standard domestic supply frequency is 50 Hz.
    • Aircraft electrical supplies have a standard frequency of 400 Hz.

    Frequency Ranges

    • Frequencies in electronics span a wide range, from a few hertz to millions.
    • High frequencies often used in signal transmission.
    • Frequencies are represented numerically with factors such as kilo (10³), mega (10⁶), etc.

    Max or Peak Value

    • The maximum value of a waveform is the highest positive or negative value reached. This is also called peak-to-peak.

    Effective or RMS Value

    • RMS (Root Mean Square) value refers to the effective value of an AC waveform.
    • It's related to the heat generated by a current.
    • RMS values are commonly used for AC measurements.

    Average Value

    • The average AC value is obtained by averaging the instantaneous values over a half cycle.
    • Average value is about 0.637 of the maximum value.
    • An average value is 0.637 of the peak value.

    Types of AC Waveforms

    • Common AC waveforms include sinusoidal, square, triangular, and sawtooth.
    • Their shapes and properties differ, suitable for different applications.

    RLC Circuits

    • Circuits with resistance, inductance, and capacitance; these components affect how the circuit functions.

    Resistance in AC Circuits

    • AC current and voltage rise and fall together, in phase in a purely resistive circuit.

    Power in AC Resistive Circuits

    • The power used in an AC circuit is the average of all the instantaneous power values over a full cycle.
    • In purely resistive AC circuits, true power and apparent (volt-ampere) power are equal, thus the power factor is 1 or unity.

    AC Inductive Circuits

    • Inductance creates opposition to current flow, known as inductive reactance, creating a delay.
    • Inductive reactance is proportional to frequency and inductance.

    Effects of Frequency on Inductive Reactance

    • Lower frequencies result in more current in an inductive circuit.
    • Higher frequencies decrease current.

    True and Apparent Power

    • True power (Watts) measures the actual power consumption.
    • Apparent power measures the product of voltage and current.
    • Power factor describes the ratio of true power to apparent power.

    Capacitors (Review)

    • Capacitors have conductive plates separated by a dielectric material.
    • Factors determining capacitance are plate area, distance between plates, and dielectric material.

    Series Connected Capacitors

    • To find the combined capacitance of capacitors connected in series, take the reciprocal of capacitance. Values for each capacitor need to be placed at 1/C1 + 1/C2 + ...

    Parallel Connected Capacitors

    • Calculating the total capacitance of capacitors connected in parallel is achieved by summing the capacitance values.

    Capacitive Reactance

    • Capacitive reactance is the opposition to AC current flow offered by a capacitor.
    • Current leads voltage by 90 degrees in a capacitive circuit.
    • Frequency influences capacitive reactance, higher frequencies mean lower capacitive reactance.

    Effects of Frequency on Capacitive Reactance

    • In a capacitive circuit, current leads voltage, with higher frequency meaning a higher current.
    • Low frequency results in less current flow.
    • Capacitive reactance varies inversely with frequency.

    Phase Relationship—Current and Voltage in Capacitive Circuits

    • In a purely capacitive circuit, current leads the voltage by 90 degrees.

    Transformers—Introduction

    • Transformers are used to change voltage levels in AC circuits, often in aircraft systems for instrument power supplies.
    • They are commonly found in lighting systems and various avionics equipment.
    • Transformers can be used extensively in aircraft for changing voltages for different uses.

    Transformer Principle

    • AC current in a coil creates an alternating magnetic field.
    • This field induces a back EMF in the coil.
    • By placing another coil next to it, alternating current in the first coil can induce a corresponding current in the second.

    Turns Ratio

    • The turns ratio is the ratio of the number of turns in the primary winding to the number of turns in the secondary winding in a transformer.
    • A step-up transformer gives a larger voltage in the secondary winding by increasing the turns and a step-down transformer reduces the voltage in the secondary coil by reducing the turns.
    • The relationship between primary and secondary voltage is directly proportional to the turns ratio (Vp/Ns = Vs/Np).

    Phase Relationship

    • A 180-degree phase shift occurs in a transformer between primary and secondary voltage due to back EMF generated in the secondary winding.

    Transformer Construction

    • Transformer cores are typically made of ferromagnetic materials to allow efficient magnetic flux transfer between windings.
    • Core types such as single-phase and three-phase cores are used in different transformer designs.

    Transformer Losses

    • Losses in transformers include copper loss (resistance in the windings) and iron loss (hysteresis and eddy currents in the core).
    • Frequency of the supply affects transformer performance due to inductive reactance. Higher frequency leads to higher current and possible overheating.

    Servicing

    • Proper maintenance of transformers, including regular checks and cleaning to avoid damage or overheating.

    Filters

    • Filters discriminate against frequencies, attenuating frequencies based on their design (band-pass, band-stop, low-pass, high-pass).
    • Filters are used to remove/attenuate noise or unwanted frequencies.

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    Description

    Test your understanding of capacitors and AC circuits with this quiz. Explore concepts like current flow in capacitors, the impact of capacitance on reactance, and the phase relationship between current and voltage in different types of circuits. Challenge your knowledge of electrical principles with practical applications.

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