Current Electricity
Q. What is the effect on the total resistance when more resistors are added in series?
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A.
Increases
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B.
Decreases
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C.
Remains the same
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D.
Depends on the resistors
Solution
Total resistance increases when resistors are added in series.
Correct Answer: A — Increases
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Q. What is the equivalent resistance of a 10Ω and a 5Ω resistor connected in parallel?
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A.
3.33Ω
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B.
7.5Ω
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C.
15Ω
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D.
5Ω
Solution
R_eq = 1/(1/10 + 1/5) = 3.33Ω.
Correct Answer: A — 3.33Ω
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Q. What is the equivalent resistance of a 6Ω and a 3Ω resistor connected in parallel?
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A.
2Ω
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B.
4Ω
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C.
1.5Ω
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D.
9Ω
Solution
R_eq = 1/(1/6 + 1/3) = 2Ω.
Correct Answer: B — 4Ω
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Q. What is the equivalent resistance of a circuit with a 10 ohm and a 5 ohm resistor in series?
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A.
15 ohms
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B.
5 ohms
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C.
10 ohms
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D.
20 ohms
Solution
For resistors in series, R_eq = R1 + R2 = 10 ohms + 5 ohms = 15 ohms.
Correct Answer: A — 15 ohms
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Q. What is the equivalent resistance of a circuit with two 10Ω resistors in series and one 5Ω resistor in parallel with them?
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A.
5Ω
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B.
10Ω
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C.
15Ω
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D.
20Ω
Solution
R_series = 10Ω + 10Ω = 20Ω. R_parallel = 1/(1/20 + 1/5) = 4Ω. Therefore, R_eq = 4Ω.
Correct Answer: C — 15Ω
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Q. What is the equivalent resistance of a circuit with two resistors R1 = 10Ω and R2 = 10Ω in parallel?
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A.
5Ω
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B.
10Ω
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C.
20Ω
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D.
15Ω
Solution
The equivalent resistance in parallel is given by 1/R_total = 1/R1 + 1/R2 = 1/10 + 1/10 = 1/5. Therefore, R_total = 5Ω.
Correct Answer: A — 5Ω
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Q. What is the equivalent resistance of three resistors of 2 ohms, 3 ohms, and 6 ohms connected in series?
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A.
1 ohm
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B.
3 ohms
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C.
11 ohms
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D.
12 ohms
Solution
In series, the equivalent resistance is the sum of the individual resistances: R_eq = R1 + R2 + R3 = 2 + 3 + 6 = 11 ohms.
Correct Answer: C — 11 ohms
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Q. What is the equivalent resistance of three resistors of 2Ω, 3Ω, and 5Ω connected in parallel?
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A.
1Ω
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B.
2Ω
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C.
0.83Ω
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D.
10Ω
Solution
1/Req = 1/R1 + 1/R2 + 1/R3 = 1/2 + 1/3 + 1/5 = 0.8333, thus Req = 1.2Ω.
Correct Answer: C — 0.83Ω
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Q. What is the equivalent resistance of three resistors of 2Ω, 3Ω, and 6Ω connected in parallel?
Solution
1/R_eq = 1/R1 + 1/R2 + 1/R3 = 1/2 + 1/3 + 1/6 = 1. Therefore, R_eq = 1Ω.
Correct Answer: A — 1Ω
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Q. What is the equivalent resistance of three resistors of 2Ω, 3Ω, and 6Ω connected in series?
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A.
11Ω
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B.
10Ω
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C.
9Ω
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D.
12Ω
Solution
In series, R_eq = R1 + R2 + R3 = 2 + 3 + 6 = 11Ω.
Correct Answer: A — 11Ω
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Q. What is the equivalent resistance of three resistors of values 2Ω, 3Ω, and 5Ω connected in parallel?
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A.
1Ω
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B.
2Ω
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C.
0.83Ω
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D.
10Ω
Solution
1/R_eq = 1/R1 + 1/R2 + 1/R3 = 1/2 + 1/3 + 1/5 = 0.8333, thus R_eq = 1.2Ω.
Correct Answer: C — 0.83Ω
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Q. What is the equivalent resistance of three resistors of values 2Ω, 3Ω, and 6Ω connected in parallel?
Solution
1/Req = 1/R1 + 1/R2 + 1/R3 = 1/2 + 1/3 + 1/6 = 1. Therefore, Req = 1Ω.
Correct Answer: B — 2Ω
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Q. What is the equivalent resistance of three resistors, 2Ω, 3Ω, and 6Ω, connected in series?
Solution
In series, the equivalent resistance is the sum of the individual resistances: R_eq = R1 + R2 + R3 = 2Ω + 3Ω + 6Ω = 11Ω.
Correct Answer: A — 11Ω
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Q. What is the equivalent resistance of three resistors, R1, R2, and R3, connected in series?
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A.
R1 + R2 + R3
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B.
1/(1/R1 + 1/R2 + 1/R3)
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C.
R1 * R2 * R3
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D.
R1 - R2 - R3
Solution
In a series connection, the total or equivalent resistance is the sum of the individual resistances.
Correct Answer: A — R1 + R2 + R3
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Q. What is the equivalent resistance of two resistors of 10 ohms and 20 ohms connected in series?
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A.
30 ohms
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B.
20 ohms
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C.
10 ohms
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D.
5 ohms
Solution
In series, the equivalent resistance R_eq = R1 + R2 = 10 ohms + 20 ohms = 30 ohms.
Correct Answer: A — 30 ohms
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Q. What is the equivalent resistance of two resistors of 4Ω and 12Ω connected in parallel?
Solution
Using the formula for parallel resistors, 1/R_eq = 1/R1 + 1/R2 = 1/4 + 1/12 = 1/3. Therefore, R_eq = 3Ω.
Correct Answer: C — 6Ω
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Q. What is the equivalent resistance of two resistors of 5 ohms and 10 ohms connected in parallel?
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A.
3.33 ohms
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B.
15 ohms
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C.
5 ohms
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D.
7.5 ohms
Solution
Using the formula for resistors in parallel, 1/R_eq = 1/R1 + 1/R2, we find R_eq = 1 / (1/5 + 1/10) = 3.33 ohms.
Correct Answer: A — 3.33 ohms
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Q. What is the equivalent resistance of two resistors of 5Ω and 10Ω connected in parallel?
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A.
3.33Ω
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B.
5Ω
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C.
7.5Ω
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D.
15Ω
Solution
1/Req = 1/R1 + 1/R2 = 1/5 + 1/10 = 2/10 + 1/10 = 3/10. Therefore, Req = 10/3 = 3.33Ω.
Correct Answer: A — 3.33Ω
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Q. What is the equivalent resistance of two resistors, 6 ohms and 3 ohms, connected in series?
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A.
2 ohms
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B.
3 ohms
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C.
9 ohms
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D.
18 ohms
Solution
In series, the equivalent resistance is the sum: R_eq = R1 + R2 = 6Ω + 3Ω = 9Ω.
Correct Answer: C — 9 ohms
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Q. What is the equivalent resistance of two resistors, 6Ω and 3Ω, connected in series?
Solution
In series, the equivalent resistance (R_eq) is the sum of the resistances: R_eq = 6Ω + 3Ω = 9Ω.
Correct Answer: C — 9Ω
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Q. What is the formula for the equivalent resistance in a balanced Wheatstone bridge?
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A.
R_eq = (P + Q)
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B.
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C.
(R + S)
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D.
R_eq = P + Q + R + S
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.
R_eq = P
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.
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.
Q + R
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.
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.
S
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.
R_eq = (P*R)/(Q + S)
Solution
The equivalent resistance in a balanced Wheatstone bridge can be calculated using the parallel formula.
Correct Answer: A — R_eq = (P + Q)
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Q. What is the formula for the equivalent resistance of two resistors R1 and R2 in series in a Wheatstone bridge?
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A.
R1 + R2
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B.
R1 * R2 / (R1 + R2)
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C.
R1 - R2
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D.
1/(1/R1 + 1/R2)
Solution
The equivalent resistance of two resistors in series is simply the sum of their resistances: R1 + R2.
Correct Answer: A — R1 + R2
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Q. What is the formula for the equivalent resistance of two resistors R1 and R2 in series?
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A.
R_eq = R1 + R2
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B.
R_eq = R1 * R2 / (R1 + R2)
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C.
R_eq = R1 - R2
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D.
R_eq = R1 / R2
Solution
The equivalent resistance of two resistors in series is simply the sum of their resistances: R_eq = R1 + R2.
Correct Answer: A — R_eq = R1 + R2
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Q. What is the main advantage of using a potentiometer over a voltmeter?
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A.
It is cheaper.
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B.
It provides more accurate measurements.
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C.
It is easier to use.
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D.
It can measure AC voltages.
Solution
A potentiometer provides more accurate measurements because it measures voltage by balancing rather than drawing current from the circuit.
Correct Answer: B — It provides more accurate measurements.
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Q. What is the main advantage of using a Wheatstone bridge in measurements?
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A.
It is very fast
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B.
It provides high accuracy
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C.
It is very simple
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D.
It requires no power supply
Solution
The Wheatstone bridge is known for providing high accuracy in measuring unknown resistances.
Correct Answer: B — It provides high accuracy
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Q. What is the main advantage of using a Wheatstone bridge?
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A.
It is simple to construct
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B.
It provides high accuracy in measurement
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C.
It can measure both AC and DC
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D.
It is portable
Solution
The Wheatstone bridge is known for its high accuracy in measuring unknown resistances.
Correct Answer: B — It provides high accuracy in measurement
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Q. What is the main application of a Wheatstone bridge?
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A.
Measuring capacitance
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B.
Measuring inductance
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C.
Measuring resistance
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D.
Measuring voltage
Solution
The primary application of a Wheatstone bridge is to measure unknown resistances.
Correct Answer: C — Measuring resistance
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Q. What is the maximum number of resistors that can be used in a Wheatstone bridge configuration?
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A.
2
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B.
3
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C.
4
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D.
Unlimited
Solution
A standard Wheatstone bridge configuration uses four resistors.
Correct Answer: C — 4
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Q. What is the maximum voltage that can be measured using a potentiometer with a 20 m wire and a potential gradient of 0.1 V/m?
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A.
1 V
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B.
2 V
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C.
20 V
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D.
10 V
Solution
Maximum voltage = Potential gradient × Length = 0.1 V/m × 20 m = 2 V.
Correct Answer: C — 20 V
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Q. What is the potential difference across a 10 ohm resistor carrying a current of 2A?
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A.
5V
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B.
10V
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C.
15V
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D.
20V
Solution
Using Ohm's law, V = I * R = 2A * 10 ohms = 20V.
Correct Answer: D — 20V
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