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Free CBSE - Class 12 Physics - Alternating Current worksheets

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1.
A (100 \Omega) resistor is connected to a 220 V, 50 Hz ac supply. What is the net power consumed over a full cycle?
2.
A 60 (\mu F) capacitor is connected to a 110 V, 60 Hz ac supply. Determine the rms value of the current in the circuit.
3.
What is the net power absorbed by each circuit over a complete cycle. Explain your answer.
4.
Obtain the resonant frequency (\omega_{r}) of a series LCR circuit with (L = 2.0H), (C = 32 \mu F) and (R = 10 \Omega). What is the Q-value of this circuit?
5.
A charged 30 (\mu F) capacitor is connected to a 27 mH inductor. What is the angular frequency of free oscillations of the circuit?
6.
Suppose the initial charge on the capacitor is 6 mC. What is the total energy stored in the circuit initially? What is the total energy at later time?
7.
A series LCR circuit with (R = 20 \Omega), (L = 1.5 H) and (C = 35 \mu F) is connected to a variable-frequency 200 V ac supply. When the frequency of the supply equals the natural frequency of the circuit, what is the average power transferred to the circuit in one complete cycle?
8.
A radio can tune over the frequency range of a portion of MW broadcast band: (800 kHz to 1200 kHz). If its LC circuit has an effective inductance of 200 (\mu H), what must be the range of its variable capacitor?
[Hint: For tuning, the natural frequency i.e., the frequency of free oscillations of the LC circuit should be equal to the frequency of the radiowave.]
9.

Figure 7.21 shows a series LCR circuit connected to a variable frequency 230 V source. (L = 5.0 H), (C = 80\mu F), (R = 40 \Omega). Determine the source frequency which drives the circuit in resonance.

10.

Figure 7.21 shows a series LCR circuit connected to a variable frequency 230 V source. (L = 5.0 H), (C = 80\mu F), (R = 40 \Omega). Obtain the impedance of the circuit and the amplitude of current at the resonating frequency.

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