Q. In a parallel circuit with three resistors of values 6 ohms, 3 ohms, and 2 ohms, what is the equivalent resistance?
A.
1.5 ohms
B.
2 ohms
C.
2.5 ohms
D.
3 ohms
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Solution
The formula for equivalent resistance in parallel is 1/R_eq = 1/R1 + 1/R2 + 1/R3. Thus, 1/R_eq = 1/6 + 1/3 + 1/2 = 1/6 + 2/6 + 3/6 = 6/6 = 1, so R_eq = 1 ohm.
Correct Answer: C — 2.5 ohms
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Q. In a parallel circuit with three resistors R1 = 2Ω, R2 = 3Ω, and R3 = 6Ω, what is the equivalent resistance?
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Solution
The equivalent resistance in parallel is given by 1/R_total = 1/R1 + 1/R2 + 1/R3. Thus, 1/R_total = 1/2 + 1/3 + 1/6 = 1Ω.
Correct Answer: A — 1Ω
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Q. In a parallel circuit with two resistors of 4 ohms and 6 ohms, what is the equivalent resistance?
A.
2.4 ohms
B.
10 ohms
C.
24 ohms
D.
12 ohms
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Solution
For parallel resistors, 1/R_eq = 1/R1 + 1/R2. Thus, 1/R_eq = 1/4 + 1/6 = 5/12, so R_eq = 12/5 = 2.4 ohms.
Correct Answer: A — 2.4 ohms
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Q. In a parallel circuit with two resistors of 4 ohms and 6 ohms, what is the total current if the voltage across the circuit is 12 V?
A.
2 A
B.
3 A
C.
4 A
D.
5 A
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Solution
First, find the equivalent resistance: 1/R_eq = 1/4 + 1/6 => R_eq = 2.4 ohms. Then, I = V/R_eq = 12 V / 2.4 ohms = 5 A.
Correct Answer: B — 3 A
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Q. In a parallel circuit with two resistors of 4 ohms and 6 ohms, what is the total current if the voltage across the circuit is 12V?
A.
2 A
B.
3 A
C.
4 A
D.
5 A
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Solution
First, find the equivalent resistance: 1/R_eq = 1/4 + 1/6 => R_eq = 2.4 ohms. Then, I = V/R_eq = 12V / 2.4Ω = 5 A.
Correct Answer: B — 3 A
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Q. In a parallel circuit with two resistors of 4Ω and 12Ω, what is the total current if the voltage across them is 24V? (2022)
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Solution
Total current I = V/R_eq. First, find R_eq = 1/(1/4 + 1/12) = 3Ω. Then, I = 24V / 3Ω = 8A.
Correct Answer: A — 6A
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Q. In a parallel circuit with two resistors of 4Ω and 12Ω, what is the total current if the voltage across the circuit is 24V? (2022)
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Solution
First, find the equivalent resistance: 1/R_eq = 1/4 + 1/12 = 3/12 + 1/12 = 4/12, R_eq = 3Ω. Then, I = V/R_eq = 24V / 3Ω = 8A.
Correct Answer: C — 8A
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Q. In a parallel circuit with two resistors of 4Ω and 6Ω, what is the total current if the voltage across the circuit is 12V?
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Solution
First, find the equivalent resistance: 1/R_eq = 1/4 + 1/6 => R_eq = 2.4Ω. Then, I = V/R_eq = 12V / 2.4Ω = 5A.
Correct Answer: B — 3A
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Q. In a parallel circuit with two resistors of 6 ohms and 3 ohms, what is the equivalent resistance?
A.
2 ohms
B.
4 ohms
C.
1.5 ohms
D.
9 ohms
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Solution
Using the formula for resistors in parallel, 1/R_eq = 1/R1 + 1/R2, we have 1/R_eq = 1/6 + 1/3 = 1/6 + 2/6 = 3/6. Therefore, R_eq = 6/3 = 2 ohms.
Correct Answer: B — 4 ohms
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Q. In a parallel circuit with two resistors of 6 ohms and 3 ohms, what is the total resistance?
A.
2 ohms
B.
4 ohms
C.
1.5 ohms
D.
9 ohms
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Solution
The total resistance in parallel is given by 1/R_total = 1/R1 + 1/R2. Thus, 1/R_total = 1/6 + 1/3 = 1/2, so R_total = 2 ohms.
Correct Answer: A — 2 ohms
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Q. In a parallel circuit with two resistors of 6Ω and 3Ω, what is the total current if a 12V battery is connected? (2021)
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Solution
First, find the equivalent resistance: 1/R_eq = 1/6 + 1/3 = 1/2, so R_eq = 2Ω. Then, I = V/R_eq = 12V / 2Ω = 6A.
Correct Answer: C — 6A
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Q. In a parallel circuit with two resistors of 6Ω and 3Ω, what is the total resistance? (2019)
A.
2Ω
B.
4Ω
C.
1.5Ω
D.
9Ω
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Solution
Using the formula 1/R_eq = 1/R1 + 1/R2, we get 1/R_eq = 1/6 + 1/3 = 1/6 + 2/6 = 3/6, thus R_eq = 2Ω.
Correct Answer: B — 4Ω
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Q. In a parallel circuit with two resistors of 8Ω and 4Ω, what is the total current if the voltage across the circuit is 16V? (2022)
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Solution
First, find the equivalent resistance: 1/R_eq = 1/8 + 1/4 = 1/8 + 2/8 = 3/8, so R_eq = 8/3Ω. Then, I = V/R_eq = 16V / (8/3)Ω = 16 * 3/8 = 6A.
Correct Answer: D — 8A
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Q. In a parallel circuit with two resistors R1 = 6Ω and R2 = 3Ω, what is the equivalent resistance?
A.
2Ω
B.
4Ω
C.
1.5Ω
D.
9Ω
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Solution
1/R_eq = 1/R1 + 1/R2 = 1/6 + 1/3 = 1/6 + 2/6 = 3/6, thus R_eq = 2Ω.
Correct Answer: A — 2Ω
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Q. In a parallel circuit, if one branch has a resistance of 4Ω and another has 8Ω, what is the equivalent resistance? (2020)
A.
2.67Ω
B.
3Ω
C.
4Ω
D.
6Ω
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Solution
1/R_eq = 1/4 + 1/8 = 2/8 + 1/8 = 3/8, so R_eq = 8/3Ω ≈ 2.67Ω.
Correct Answer: A — 2.67Ω
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Q. In a parallel circuit, if one resistor fails, what happens to the total current?
A.
It increases.
B.
It decreases.
C.
It remains the same.
D.
It becomes zero.
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Solution
In a parallel circuit, if one resistor fails, the total current decreases because the total resistance increases.
Correct Answer: B — It decreases.
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Q. In a parallel circuit, if one resistor is removed, what happens to the total resistance?
A.
Increases
B.
Decreases
C.
Remains the same
D.
Becomes infinite
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Solution
In a parallel circuit, removing a resistor decreases the total resistance.
Correct Answer: B — Decreases
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Q. In a parallel combination of capacitors, how is the total capacitance calculated?
A.
C_eq = C1 + C2 + C3
B.
1/C_eq = 1/C1 + 1/C2 + 1/C3
C.
C_eq = 1/(C1 + C2 + C3)
D.
C_eq = C1 * C2 * C3
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Solution
In a parallel combination, the total capacitance is simply the sum of the individual capacitances: C_eq = C1 + C2 + C3.
Correct Answer: A — C_eq = C1 + C2 + C3
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Q. In a parallel plate capacitor, if the area of the plates is doubled while keeping the separation constant, what happens to the capacitance?
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
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Solution
Capacitance is directly proportional to the area of the plates. Doubling the area will double the capacitance.
Correct Answer: A — It doubles
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Q. In a parallel plate capacitor, if the distance between the plates is doubled while keeping the charge constant, what happens to the electric potential?
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
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Solution
The electric potential V is directly proportional to the distance d between the plates, so if d is doubled, V also doubles.
Correct Answer: A — It doubles
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Q. In a parallel plate capacitor, if the distance between the plates is halved, what happens to the capacitance?
A.
It halves
B.
It doubles
C.
It remains the same
D.
It quadruples
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Solution
Capacitance C = ε₀ * A / d. If d is halved, C doubles.
Correct Answer: B — It doubles
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Q. In a parallel plate capacitor, if the distance between the plates is increased, what happens to the capacitance? (2022)
A.
It increases
B.
It decreases
C.
It remains the same
D.
It becomes zero
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Solution
The capacitance (C) of a parallel plate capacitor is inversely proportional to the distance (d) between the plates. If d increases, C decreases.
Correct Answer: B — It decreases
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Q. In a parallel RLC circuit, if R = 50 ohms, L = 0.2H, and C = 50μF, what is the total admittance? (2023)
A.
0.02 S
B.
0.04 S
C.
0.06 S
D.
0.08 S
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Solution
Y = 1/R + j(ωC - 1/ωL); calculate Y for given values.
Correct Answer: C — 0.06 S
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Q. In a parallel RLC circuit, if R = 50Ω, L = 0.2 H, and C = 50μF, what is the quality factor Q? (2015)
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Solution
Quality factor Q = (1/R) * √(L/C) = (1/50) * √(0.2/50e-6) = 2.
Correct Answer: B — 2
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Q. In a parallel RLC circuit, if the resistance is 10Ω, inductance is 0.2H, and capacitance is 50μF, what is the total admittance? (2022)
A.
0.1 S
B.
0.2 S
C.
0.3 S
D.
0.4 S
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Solution
Total admittance Y = 1/R + j(ωC - 1/ωL). Calculate Y using given values.
Correct Answer: C — 0.3 S
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Q. In a parallel RLC circuit, if the resistance is 10Ω, inductance is 0.2H, and capacitance is 50μF, what is the total current at resonance? (2022)
A.
0.5A
B.
1A
C.
2A
D.
4A
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Solution
At resonance, total current I = V/R. Calculate using V = 10V.
Correct Answer: B — 1A
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Q. In a parallel RLC circuit, if the resistance is 10Ω, inductance is 0.2H, and capacitance is 50μF, what is the quality factor Q? (2021)
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Solution
Quality factor Q = (1/R) * √(L/C) = (1/10) * √(0.2/50e-6) ≈ 3.
Correct Answer: C — 3
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Q. In a parallel RLC circuit, what happens to the total current if the frequency is increased?
A.
Increases
B.
Decreases
C.
Remains the same
D.
Depends on R
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Solution
In a parallel RLC circuit, increasing frequency generally increases the total current due to lower reactance.
Correct Answer: A — Increases
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Q. In a parallelogram, if one angle is 70 degrees, what is the measure of the opposite angle? (2019)
A.
70 degrees
B.
110 degrees
C.
90 degrees
D.
80 degrees
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Solution
In a parallelogram, opposite angles are equal. Therefore, if one angle is 70 degrees, the opposite angle is also 70 degrees.
Correct Answer: A — 70 degrees
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Q. In a parallelogram, if one angle measures 60 degrees, what is the measure of the opposite angle?
A.
60 degrees
B.
120 degrees
C.
90 degrees
D.
180 degrees
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Solution
In a parallelogram, opposite angles are equal, so the opposite angle also measures 60 degrees.
Correct Answer: A — 60 degrees
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