Inductance Quiz & Flashcards: Explore Fundamentals

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Questions and Answers

At the higher frequencies, what will happen to the capacitive reactance (XC) compared to the inductive reactance (XL) in the circuit?

XC will be lower than XL (correct)

XC will be zero

XC will be equal to XL

XC will be higher than XL

What is the first step in determining the parameters for a parallel LCR circuit?

Calculate the phase angle of the circuit

Calculate the current through each component

Calculate the total circuit current

Calculate the reactances XL and XC (correct)

How is the current through each component (IR, IC, and IL) calculated in a parallel LCR circuit?

IR = V*R, IC = V/XC, IL = V/XL

IR = V*R, IC = V*XC, IL = V*XL

IR = V/R, IC = V*XC, IL = V*XL

IR = V/R, IC = V/XC, IL = V/XL (correct)

How is the equivalent reactive current (difference between IC and IL) calculated in a parallel LCR circuit?

sqrt((IC - IL)^2) Signup and view all the answers

What is the formula used to calculate the total circuit current (IT) in a parallel LCR circuit?

IT = sqrt(IR^2 + (IC - IL)^2) Signup and view all the answers

How is the phase angle () of a parallel LCR circuit calculated?

tan = (IL - IC) / IR Signup and view all the answers

Which of the following is NOT a step in the summary of parallel LCR circuit analysis provided in the text?

Determining the Power Factor of Parallel LCR Circuits Signup and view all the answers

What does the text state about the relationship between the capacitance of a capacitor and the capacitive reactance (XC)?

XC is inversely proportional to the capacitance of the capacitor Signup and view all the answers

What happens to the current through a capacitor when the capacitance value increases?

The current through the capacitor increases Signup and view all the answers

What does the text say about the relationship between the voltage across a capacitor (VC) and the current through a capacitor (IC) when calculating capacitive reactance (XC)?

XC is inversely proportional to the ratio of VC to IC Signup and view all the answers

What does the text state about the relationship between the frequency of the applied voltage and the current through a capacitive circuit?

As the frequency increases, the current through the capacitive circuit increases Signup and view all the answers

What happens to the capacitive reactance (XC) when the capacitance value of a capacitor is increased?

XC decreases Signup and view all the answers

What does the text state about the relationship between the amplitude of the applied signal and the inductive reactance (XL) in an AC circuit?

XL remains constant even if the amplitude of the applied signal changes Signup and view all the answers

What is the main difference between the effects of inductance and the effects of capacitance in an AC circuit, as mentioned in the text?

There is a major difference in the effects of inductance and capacitance in an AC circuit Signup and view all the answers

What is the formula used in the text to calculate capacitive reactance (XC)?

XC = VC / IC Signup and view all the answers

Which of the following statements about the relationship between frequency and capacitive reactance (XC) is correct, according to the text?

As frequency increases, XC decreases Signup and view all the answers

What does the text say about the relationship between the inductive reactance (XL) and the amplitude of the applied signal in an AC circuit?

XL remains constant even if the amplitude of the applied signal changes Signup and view all the answers

Study Notes

Inductance and Inductive Circuits

One henry is equal to the inductance required to induce one volt in an inductor by a change of current of one ampere per second.
Inductance opposes any change in the magnitude of current in a circuit.
Devices that provide inductance are called inductors, chokes, reactors, or coils.
Inductors "choke off" and restrict sudden changes in current.
Inductors react against changes in current, either increases or decreases.

Phase Angle and AC Circuits

A cycle is one complete sequence of voltage or current change from zero to a positive peak, back to zero, through a negative peak, and back to zero again.
For capacitive loads, current (I) comes before voltage (V), meaning current leads voltage.
For inductive loads, current (I) comes after voltage (V), meaning current lags voltage.
The phasor representing current (I) is drawn 90° clockwise from the phasor representing voltage (V).

Reactance and Impedance

Inductive reactance (XL) is directly proportional to inductance (L) and frequency (f).
The formula for XL is: XL = 2πfL
XC is proportional to 1/C, meaning that as capacitance increases, XC decreases.
XC is also proportional to 1/f, meaning that as frequency increases, XC decreases.

LCR Circuits

To analyze a parallel LCR circuit, calculate the reactances (XL and XC), then calculate the current through each component (IR, IC, and IL).
Calculate the equivalent reactive current (difference between IC and IL) and the total circuit current (IT).
Calculate the total current phase angle using tan(θ) = (IL - IC) / IR.

Power and Energy Loss

True power is the power dissipated in a circuit.
Apparent power is the product of the voltage and current in a circuit.
Energy losses occur due to resistance in a circuit.

Fleming's Left-Hand Rule and Induced EMF

Fleming's left-hand rule states that if you point the thumb of your left hand in the direction of relative motion of the conductor and your index finger in the direction of the magnetic field, your middle finger, when extended, indicates the direction of the induced current.
The induced voltage then moves in the same direction as the battery voltage.
The self-induced voltage opposes both changes in current.

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Understanding Inductance and Inertia

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