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Q1. What is the peak voltage of an AC source if its RMS voltage is 220 V? (2021)
Solution:
The peak voltage (V_peak) is related to the RMS voltage (V_rms) by the formula V_peak = V_rms × √2. Therefore, V_peak = 220 V × √2 ≈ 311 V.
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Q2. What is the average power consumed in an AC circuit with a power factor of 0.5 and an RMS voltage of 100 V with a current of 5 A? (2020)
Solution:
Average power (P) is given by P = V_rms × I_rms × power factor. Thus, P = 100 V × 5 A × 0.5 = 250 W.
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Q3. In an AC circuit, if the voltage is given by V(t) = V_0 sin(ωt), what is the expression for the current if the circuit is purely inductive? (2023)
Solution:
In a purely inductive circuit, the current lags the voltage by 90 degrees (or π/2 radians). Therefore, I(t) = I_0 sin(ωt - π/2).
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Q4. In an AC circuit, what is the relationship between the average power and the RMS voltage? (2023)
Solution:
The average power (P) in an AC circuit is given by P = V_rms²/R, where R is the resistance.
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Q5. If the voltage across an inductor is 100 V and the current through it is 2 A, what is the inductive reactance? (2023)
Solution:
Inductive reactance (X_L) is given by X_L = V/I. Here, X_L = 100 V / 2 A = 50 Ω.
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Q6. If the inductance of a coil is doubled, what happens to its inductive reactance at a constant frequency? (2022)
Solution:
Inductive reactance (X_L) is given by X_L = 2πfL. If the inductance (L) is doubled, X_L will also double.
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Q7. In a series RLC circuit, what happens to the total impedance when the circuit is at resonance? (2022)
Solution:
At resonance in a series RLC circuit, the total impedance is minimum and is equal to the resistance (R) of the circuit.
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Q8. In an AC circuit, if the voltage is given by V(t) = V0 sin(ωt), what is the expression for the current if the circuit is purely inductive? (2023)
Solution:
In a purely inductive circuit, the current lags the voltage by 90 degrees (π/2 radians). Therefore, I(t) = I0 sin(ωt - π/2).
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Q9. In a series RLC circuit, what happens at resonance? (2020)
Solution:
At resonance in a series RLC circuit, the impedance is minimum, and the circuit behaves like a purely resistive circuit.
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Q10. The impedance of an RLC circuit is given by which of the following formulas? (2022)
Solution:
The impedance (Z) of an RLC circuit is given by Z = √(R² + (X_L - X_C)²), where X_L is the inductive reactance and X_C is the capacitive reactance.
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