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Questions and Answers
What is the key function of a Wheatstone bridge in electrical measurement?
What is the key function of a Wheatstone bridge in electrical measurement?
- To convert currents
- To amplify AC signals
- To measure voltage directly
- To compare resistances (correct)
Which of the following describes the condition when a Wheatstone bridge is considered balanced?
Which of the following describes the condition when a Wheatstone bridge is considered balanced?
- R1 = R3 and R2 = R4
- R1/R2 = R3/R4 (correct)
- R1 + R2 = R3 + R4
- R1 + R3 = R2 + R4
In which application would a Wheatstone bridge be most useful?
In which application would a Wheatstone bridge be most useful?
- Measuring small changes in a strain gauge (correct)
- Measuring alternating current power
- Calculating total circuit capacitance
- Detecting voltage spikes in circuits
What happens if the potentials at points B and D in a Wheatstone bridge are equal?
What happens if the potentials at points B and D in a Wheatstone bridge are equal?
How can the unknown resistance in a Wheatstone bridge be calculated?
How can the unknown resistance in a Wheatstone bridge be calculated?
What is the result of combining resistors R4, R5, R6, and R7 in series after calculating R5, R6, and R7 in parallel?
What is the result of combining resistors R4, R5, R6, and R7 in series after calculating R5, R6, and R7 in parallel?
When resistors are connected in series, how does the total circuit resistance change?
When resistors are connected in series, how does the total circuit resistance change?
Using Ohm's Law, how is the voltage drop across a resistor calculated?
Using Ohm's Law, how is the voltage drop across a resistor calculated?
What is a characteristic of resistors connected in parallel?
What is a characteristic of resistors connected in parallel?
In a parallel circuit containing equal resistances, how can the total resistance be calculated?
In a parallel circuit containing equal resistances, how can the total resistance be calculated?
What is Kirchhoff's Voltage Law concerned with in a circuit?
What is Kirchhoff's Voltage Law concerned with in a circuit?
With respect to a Wheatstone Bridge, what is the primary use of this circuit configuration?
With respect to a Wheatstone Bridge, what is the primary use of this circuit configuration?
What occurs to total circuit resistance when additional resistors are added in series?
What occurs to total circuit resistance when additional resistors are added in series?
What is the primary function of a potentiometer in an electrical circuit?
What is the primary function of a potentiometer in an electrical circuit?
In a parallel circuit, how is the total current affected as more resistors are added?
In a parallel circuit, how is the total current affected as more resistors are added?
Which description accurately represents a rheostat's functionality?
Which description accurately represents a rheostat's functionality?
What is a fundamental principle behind the operation of a galvanometer?
What is a fundamental principle behind the operation of a galvanometer?
Which of the following statements about resistors in parallel is true?
Which of the following statements about resistors in parallel is true?
How can the position of the slider in a potentiometer affect an output voltage?
How can the position of the slider in a potentiometer affect an output voltage?
What is a key difference between a rheostat and a potentiometer?
What is a key difference between a rheostat and a potentiometer?
In which application would the use of a strain gauge be most pertinent?
In which application would the use of a strain gauge be most pertinent?
When analyzing a Wheatstone bridge circuit, what is typically measured to assess balance?
When analyzing a Wheatstone bridge circuit, what is typically measured to assess balance?
What is the total resistance in a series circuit containing three resistors with values of 2Ω, 3Ω, and 5Ω?
What is the total resistance in a series circuit containing three resistors with values of 2Ω, 3Ω, and 5Ω?
For two identical resistors connected in parallel, if each resistor has a resistance of 10Ω, what is the total resistance?
For two identical resistors connected in parallel, if each resistor has a resistance of 10Ω, what is the total resistance?
What wattage rating is typically used for carbon film resistors?
What wattage rating is typically used for carbon film resistors?
In a Wheatstone bridge, what condition indicates that the bridge is balanced?
In a Wheatstone bridge, what condition indicates that the bridge is balanced?
If the total resistance in a parallel circuit of three identical resistors is 3Ω, what is the resistance of each individual resistor?
If the total resistance in a parallel circuit of three identical resistors is 3Ω, what is the resistance of each individual resistor?
What is the primary function of fins in a resistor's aluminum casing?
What is the primary function of fins in a resistor's aluminum casing?
What happens to the total resistance when resistors are added in series?
What happens to the total resistance when resistors are added in series?
Which method is commonly used to measure high precision resistance?
Which method is commonly used to measure high precision resistance?
How is the total resistance calculated in a circuit with three unequal resistors in parallel?
How is the total resistance calculated in a circuit with three unequal resistors in parallel?
What is the first step in calculating total resistance in a mixed resistor circuit?
What is the first step in calculating total resistance in a mixed resistor circuit?
Given two 4Ω resistors in parallel connected in series with an 8Ω resistor, what is the total resistance?
Given two 4Ω resistors in parallel connected in series with an 8Ω resistor, what is the total resistance?
Which formula is used to calculate the total resistance of two resistors in parallel?
Which formula is used to calculate the total resistance of two resistors in parallel?
How should resistances connected in series be treated during total resistance calculations?
How should resistances connected in series be treated during total resistance calculations?
When measuring total resistance in a circuit, why is it essential to calculate parallel resistances first?
When measuring total resistance in a circuit, why is it essential to calculate parallel resistances first?
In a circuit with an 8Ω resistor in series and two parallel 4Ω resistors, what is the equivalent resistance of the parallel section?
In a circuit with an 8Ω resistor in series and two parallel 4Ω resistors, what is the equivalent resistance of the parallel section?
What notation indicates that resistors are connected in parallel?
What notation indicates that resistors are connected in parallel?
What happens to the total resistance in a circuit when additional resistors are added in parallel?
What happens to the total resistance in a circuit when additional resistors are added in parallel?
If you have a circuit with three resistors in parallel and one in series, what should the calculation process begin with?
If you have a circuit with three resistors in parallel and one in series, what should the calculation process begin with?
Which of the following best describes a combination circuit?
Which of the following best describes a combination circuit?
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Study Notes
Series and Parallel Calculations
- Order of calculations:
- Calculate the total resistance of each parallel leg first.
- Calculate the total resistance of each parallel circuit.
- Calculate the total series resistance.
- Continue the calculation until the total circuit resistance is calculated.
Effect of series resistors on the circuit
- Total circuit resistance (Rt) is calculated by adding individual resistances.
- Rt = R1 + R2 + R3 + ..., where Rt is the total resistance and R1, R2, and R3 are the individual resistances in the series.
- Total resistance increases as more resistors are added in series.
- Current flow decreases using Ohm’s Law.
Effect of parallel resistors on the circuit
- Total circuit resistance is calculated using the formula: 1/Rt = 1/R1 + 1/R2 + 1/R3..., where Rt is the total resistance and R1, R2, and R3 are the individual resistances in parallel.
- If resistances are equal, the formula can be simplified by dividing the value of one resistor by the number of resistors.
- Total resistance decreases as more resistors are added in parallel.
Series-Parallel Combinations
- Combination circuits have both series and parallel paths.
- Parallel sections of the circuit must be calculated first.
- Total resistance of the parallel leg can then be added to the series resistances to get the total circuit resistance.
- Rt = R1 + (R2||R3), where Rt is the total resistance, R1 is the series resistance, and (R2||R3) is the total resistance of the parallel leg.
Resistors in Series
- Series circuits contain only one path for current flow.
- Current flows through each resistor in series.
- The total resistance equals the sum of individual resistances.
Resistors in Parallel
- Resistors in parallel have their ends connected by a conductor.
- The same voltage is applied across each resistor in parallel.
- The equation for calculating total resistance is: 1/Rt = 1/R1 + 1/R2 +1/R3...., where Rt is the total resistance and R1, R2, and R3 are the individual resistances in parallel.
- If two equal resistances are in parallel the total resistance is half the value of one resistor.
- If three equal resistances are in parallel the total resistance is one third the value of one resistor.
Potentiometer
- A manually adjustable resistor.
- Often found in radio volume controls and television brightness controls.
- Three terminals: two are ends of the resistance element, and one is a sliding contact.
- Can be used to vary a voltage.
Rheostat
- A resistor with one sliding contact and two terminals.
- Used to control the current flowing through the circuit.
- Widely used for controlling electric motors and dimming lights.
- Often replaced by semiconductor devices.
Galvanometer
- An early current detector.
- Uses a coil placed in a magnetic field – the coil experiences a torque proportional to the current.
- The moving coil meter was an early electromechanical measuring instrument that used a galvanometer as its core component.
Wattage Ratings for Resistors
- Typical carbon resistors have wattage ratings of 0.125, 0.25, 0.5, 1, and 2 watts.
- For higher wattage ratings, wire-wound or other types of resistors are used.
Wheatstone Bridge
- A bridge circuit used for comparing resistances.
- Consists of a common electrical current source (such as a battery), four resistors (three are known), and a galvanometer connecting two parallel branches.
- Ideal for measuring small changes in resistance.
Operation of the Wheatstone Bridge
- Current flows through the bridge circuit in two arms.
- Potential drops (IR) occur in the direction of the current flow across each resistor.
- When the potential difference between points B and D, connected to the galvanometer, is equal, there is no current through the galvanometer.
- The bridge is balanced when the ratio of R1 to R2 is equal to the ratio of R3 to R4. The unknown resistance can then be calculated.
Wheatstone Bridge Formula
- The formula for the balanced bridge can be written R1/R3 = R2/R4, which can be transposed to solve for an unknown resistance value.
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