Q. In a purely capacitive AC circuit, the current leads the voltage by how much phase angle? (2023)
A.
0 degrees
B.
90 degrees
C.
180 degrees
D.
270 degrees
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Solution
In a purely capacitive circuit, the current leads the voltage by 90 degrees.
Correct Answer: B — 90 degrees
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Q. In a series RLC circuit, if R = 10 ohms, L = 0.1H, and C = 100μF, what is the resonant frequency? (2021)
A.
159.15 Hz
B.
100 Hz
C.
50 Hz
D.
200 Hz
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Solution
f0 = 1 / (2π√(LC)) = 1 / (2π√(0.1 × 100 × 10^-6)) = 159.15 Hz.
Correct Answer: A — 159.15 Hz
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Q. In a series RLC circuit, if R = 20Ω, L = 0.1 H, and C = 100μF, what is the resonant frequency? (2020)
A.
50 Hz
B.
100 Hz
C.
159.15 Hz
D.
200 Hz
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Solution
Resonant frequency f₀ = 1 / (2π√(LC)) = 1 / (2π√(0.1 * 100e-6)) = 159.15 Hz.
Correct Answer: C — 159.15 Hz
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Q. In a series RLC circuit, if the inductive reactance is greater than the capacitive reactance, what type of circuit is it? (2022)
A.
Resonant
B.
Inductive
C.
Capacitive
D.
Purely resistive
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Solution
If inductive reactance (XL) is greater than capacitive reactance (XC), the circuit is inductive.
Correct Answer: B — Inductive
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Q. In a series RLC circuit, if the inductive reactance is greater than the capacitive reactance, the circuit is said to be: (2019)
A.
Resonant
B.
Capacitive
C.
Inductive
D.
Purely resistive
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Solution
If inductive reactance (XL) is greater than capacitive reactance (XC), the circuit is inductive.
Correct Answer: C — Inductive
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Q. In a series RLC circuit, if the resistance is 10 ohms, inductance is 0.1 H, and capacitance is 100 μF, what is the resonant frequency? (2021)
A.
50 Hz
B.
100 Hz
C.
159 Hz
D.
200 Hz
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Solution
Resonant frequency f = 1/(2π√(LC)) = 1/(2π√(0.1 * 100e-6)) = 159.15 Hz.
Correct Answer: C — 159 Hz
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Q. In a series RLC circuit, if the resistance is 10Ω, inductance is 0.1H, and capacitance is 100μF, what is the resonant frequency? (2021)
A.
50Hz
B.
100Hz
C.
159Hz
D.
200Hz
Show solution
Solution
Resonant frequency f0 = 1/(2π√(LC)) = 1/(2π√(0.1*100e-6)) ≈ 159Hz.
Correct Answer: C — 159Hz
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Q. In a series RLC circuit, if the resistance is 4 ohms, inductance is 0.1 H, and capacitance is 100 μF, what is the resonant frequency? (2023)
A.
50 Hz
B.
100 Hz
C.
159.15 Hz
D.
200 Hz
Show solution
Solution
Resonant frequency f = 1/(2π√(LC)) = 1/(2π√(0.1 * 100e-6)) = 159.15 Hz.
Correct Answer: C — 159.15 Hz
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Q. In a series RLC circuit, if the resistance is 5Ω, the inductance is 0.2H, and the capacitance is 10μF, what is the resonant frequency? (2023)
A.
50Hz
B.
100Hz
C.
159.15Hz
D.
200Hz
Show solution
Solution
Resonant frequency f0 = 1/(2π√(LC)) = 1/(2π√(0.2 * 10e-6)) = 159.15Hz.
Correct Answer: C — 159.15Hz
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Q. In a series RLC circuit, if the total impedance is 50Ω, the resistance is 30Ω, what is the inductive reactance if the capacitive reactance is 20Ω? (2023)
A.
10Ω
B.
20Ω
C.
30Ω
D.
40Ω
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Solution
Using Z = √(R² + (XL - XC)²), we find XL = √(50² - 30²) + 20 = 10Ω.
Correct Answer: A — 10Ω
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Q. In a series RLC circuit, what condition must be met for resonance to occur? (2021)
A.
R = 0
B.
XL = XC
C.
R = XL
D.
R = XC
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Solution
For resonance in a series RLC circuit, the condition XL = XC must be met.
Correct Answer: B — XL = XC
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Q. In an AC circuit, if the current is given by I(t) = I0 cos(ωt), what is the RMS current? (2021)
A.
I0/√2
B.
I0
C.
2I0
D.
I0/2
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Solution
The RMS value of a cosine function is I0/√2.
Correct Answer: A — I0/√2
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Q. In an AC circuit, if the frequency is 60Hz and the inductance is 0.2H, what is the inductive reactance? (2021)
A.
12.56Ω
B.
37.68Ω
C.
75.36Ω
D.
100Ω
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Solution
Inductive reactance (XL) = 2πfL = 2π(60)(0.2) ≈ 75.36Ω.
Correct Answer: B — 37.68Ω
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Q. In an AC circuit, if the frequency is increased, what happens to the inductive reactance? (2020)
A.
It increases
B.
It decreases
C.
It remains constant
D.
It becomes zero
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Solution
Inductive reactance (XL = 2πfL) increases with an increase in frequency.
Correct Answer: A — It increases
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Q. In an AC circuit, if the power factor is 0.8, what is the angle between the voltage and current? (2020)
A.
36.87°
B.
53.13°
C.
60°
D.
45°
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Solution
The angle θ can be found using cos(θ) = power factor. Therefore, θ = cos⁻¹(0.8) ≈ 36.87°.
Correct Answer: B — 53.13°
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Q. In an AC circuit, if the resistance is 10 ohms and the inductive reactance is 20 ohms, what is the impedance? (2020)
A.
10 ohms
B.
20 ohms
C.
√(10² + 20²)
D.
30 ohms
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Solution
The impedance Z = √(R² + XL²) = √(10² + 20²) = √(100 + 400) = √500 = 22.36 ohms.
Correct Answer: C — √(10² + 20²)
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Q. In an AC circuit, if the resistance is 10 ohms and the inductive reactance is 20 ohms, what is the total impedance? (2020)
A.
10 ohms
B.
20 ohms
C.
√(10² + 20²)
D.
30 ohms
Show solution
Solution
The total impedance Z = √(R² + XL²) = √(10² + 20²) = √(100 + 400) = √500 = 22.36 ohms.
Correct Answer: C — √(10² + 20²)
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Q. In an AC circuit, if the resistance is 10Ω and the inductive reactance is 20Ω, what is the total impedance? (2020)
A.
10Ω
B.
20Ω
C.
√(10² + 20²)
D.
30Ω
Show solution
Solution
The total impedance Z = √(R² + XL²) = √(10² + 20²) = √(100 + 400) = √500 = 22.36Ω.
Correct Answer: C — √(10² + 20²)
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Q. In an AC circuit, if the total current is 5A and the total voltage is 100V, what is the impedance? (2021)
A.
20Ω
B.
25Ω
C.
30Ω
D.
15Ω
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Solution
Impedance Z = V/I = 100V/5A = 20Ω.
Correct Answer: B — 25Ω
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Q. In an AC circuit, if the voltage is 120 V and the current is 10 A with a power factor of 0.8, what is the real power consumed? (2021)
A.
960 W
B.
1200 W
C.
800 W
D.
1000 W
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Solution
Real power P = V * I * power factor = 120 * 10 * 0.8 = 960 W.
Correct Answer: A — 960 W
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Q. In an AC circuit, if the voltage is 120 V and the current is 10 A, what is the power factor if the real power is 600 W? (2021)
A.
0.5
B.
0.6
C.
0.8
D.
1.0
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Solution
Power factor = Real Power / (Voltage × Current) = 600 / (120 × 10) = 0.5.
Correct Answer: C — 0.8
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Q. In an AC circuit, if the voltage is 120V and the current is 10A with a power factor of 0.8, what is the real power consumed? (2021)
A.
120W
B.
800W
C.
960W
D.
1000W
Show solution
Solution
Real power P = V * I * power factor = 120V * 10A * 0.8 = 960W.
Correct Answer: C — 960W
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Q. In an AC circuit, if the voltage is 120V and the current is 10A, what is the power factor if the real power is 600W? (2022)
A.
0.5
B.
0.6
C.
0.8
D.
1.0
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Solution
Power factor = Real Power / (Voltage x Current) = 600 / (120 x 10) = 600 / 1200 = 0.5.
Correct Answer: B — 0.6
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Q. In an AC circuit, if the voltage is given by V(t) = 100 sin(100t), what is the RMS voltage? (2023)
A.
100 V
B.
70.7 V
C.
50 V
D.
141.4 V
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Solution
The RMS voltage is V_rms = V0/√2 = 100/√2 = 70.7 V.
Correct Answer: B — 70.7 V
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Q. In an AC circuit, if the voltage is given by V(t) = 100√2 sin(1000t), what is the peak voltage? (2023)
A.
100 V
B.
100√2 V
C.
200 V
D.
50 V
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Solution
The peak voltage is given by the coefficient of sin, which is 100√2.
Correct Answer: B — 100√2 V
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Q. In an AC circuit, if the voltage is V(t) = 120 sin(ωt), what is the RMS voltage? (2017)
A.
120 V
B.
60 V
C.
84.85 V
D.
100 V
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Solution
RMS voltage V_rms = V_peak / √2 = 120 / √2 = 84.85 V.
Correct Answer: C — 84.85 V
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Q. In an AC circuit, the voltage is given by V(t) = V0 sin(ωt). What is the peak voltage if V0 = 10V? (2021)
A.
5V
B.
10V
C.
15V
D.
20V
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Solution
The peak voltage V0 is given directly in the equation as 10V.
Correct Answer: B — 10V
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Q. In an AC circuit, the voltage is given by V(t) = V0 sin(ωt). What is the peak voltage? (2021)
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Solution
The peak voltage in the equation V(t) = V0 sin(ωt) is V0.
Correct Answer: A — V0
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Q. In an RLC circuit, if the inductive reactance is 30Ω and capacitive reactance is 20Ω, what is the net reactance? (2020)
A.
10Ω
B.
50Ω
C.
30Ω
D.
20Ω
Show solution
Solution
Net reactance X = XL - XC = 30Ω - 20Ω = 10Ω.
Correct Answer: A — 10Ω
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Q. In an RLC circuit, if the resistance is 10Ω, the inductance is 0.1H, and the capacitance is 20μF, what is the total impedance at 50Hz? (2022)
A.
10Ω
B.
15.81Ω
C.
20Ω
D.
25Ω
Show solution
Solution
Calculate XL = 2πfL = 31.42Ω and XC = 1/(2πfC) = 159.15Ω. Z = √(R² + (XL - XC)²) = √(10² + (31.42 - 159.15)²) = 15.81Ω.
Correct Answer: B — 15.81Ω
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