Q1. In a series RLC circuit, at resonance, the impedance is equal to which of the following? (2020)
Solution:
At resonance in a series RLC circuit, the impedance (Z) is equal to the resistance (R) because the inductive and capacitive reactances cancel each other out.
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Q2. What is the unit of inductive reactance? (2020)
Solution:
Inductive reactance (X_L) is measured in Ohms (Ω), which is the same unit used for resistance.
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Q3. What is the relationship between RMS and average value of an AC waveform? (2023)
Solution:
For a sinusoidal AC waveform, the RMS value is related to the average value by RMS = Average / √2.
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Q4. If the voltage across a capacitor in an AC circuit is 100 V RMS, what is the peak voltage? (2022)
Solution:
The peak voltage (V_peak) is calculated as V_peak = V_rms × √2 = 100 V × √2 ≈ 141.42 V.
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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. The impedance of an RLC circuit is minimum when which condition is satisfied? (2022)
Solution:
The impedance (Z) of an RLC circuit is minimum when the inductive reactance (X_L) equals the capacitive reactance (X_C), which is the condition for resonance.
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Q7. If the frequency of an AC source is increased, what happens to the inductive reactance? (2019)
Solution:
Inductive reactance (X_L) is directly proportional to frequency (f). Therefore, if frequency increases, X_L decreases.
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Q8. In an AC circuit, what is the unit of reactance? (2019)
Solution:
Reactance is measured in Ohms, just like resistance.
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Q9. If the voltage across an inductor is 100 V and the current through it is 5 A, what is the inductive reactance? (2023)
Solution:
Inductive reactance (X_L) can be calculated using the formula V = I × X_L. Rearranging gives X_L = V/I = 100 V / 5 A = 20 Ω.
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Q10. In a series RLC circuit, what happens to the current when the circuit is at resonance? (2021)
Solution:
At resonance in a series RLC circuit, the impedance is minimum, and thus the current is maximum.
