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CBSE - Class 12 Physics Alternating Current Worksheet

1.
A $100 \Omega$ resistor is connected to a $220 V$, $50 Hz$ ac supply.
(b) What is the net power consumed over a full cycle?
2.
A $100 \Omega$ resistor is connected to a $220 V$, $50 Hz$ ac supply.
(a) What is the rms value of current in the circuit?
3.

A 44 mH inductor is connected to 220 V, 50 Hz ac supply. A 60 mF capacitor is connected to a 110 V, 60 Hz ac supply. what is the net power absorbed by each circuit over a complete cycle. Explain your answer.

4.
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.
5.

Figure 7.17 shows a series LCR circuit connected to a variable frequency $230 V$ source. $L = 5.0 H$, $C = 80\mu F$, $R = 40 \Omega$. (a) Determine the source frequency which drives the circuit in resonance.

6.
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?
7.
A $44 mH$ inductor is connected to $220 V$, $50 Hz$ ac supply. Determine the rms value of the current in the circuit.
8.
(a) The peak voltage of an ac supply is $300 V$. What is the rms voltage?
9.
A charged $30 \mu F$ capacitor is connected to a $27 mH$ inductor. What is the angular frequency of free oscillations of the circuit?
10.
(b) The rms value of current in an ac circuit is $10 A$. What is the peak current?
11.

Figure 7.17 shows a series LCR circuit connected to a variable frequency $230 V$ source. $L = 5.0 H$, $C = 80\mu F$, $R = 40 \Omega$. (b) Obtain the impedance of the circuit and the amplitude of current at the resonating frequency.

12.

Figure 7.17 shows a series LCR circuit connected to a variable frequency $230 V$ source. $L = 5.0 H$, $C = 80\mu F$, $R = 40 \Omega$. (c) Determine the rms potential drops across the three elements of the circuit. Show that the potential drop across the LC combination is zero at the resonating frequency.

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