Question:
The circuit shown in the figure contains an inductor L, a capacitor \(C_0\), a resistor\( R_0\) and an ideal battery. The circuit also contains two keys \(K_1\) and \(K_2\). Initially, both the keys are open and there is no charge on the capacitor. At an instant, key \(K_1\) is closed and immediately after this the current in \(R_0\) is found to be \(I_1\). After a long time, the current attains a steady state value \(I_2\). Thereafter,\( K_2\) is closed and simultaneously \(K_1\) is opened and the voltage across \(C_0\) oscillates with amplitude \(C_0\) and angular frequency \(\omega_0\).
Match the quantities mentioned in List-I with their values in List-II and choose the correct option.
List-I List-II P The value of \(I1\) in Ampere is I \(0\) Q The value of I2 in Ampere is II \(2\) R The value of \(\omega_0\) in kilo-radians/s is III \(4\) S The value of \(V_0\) in Volt is IV \(20\) 200
The circuit shown in the figure contains an inductor L, a capacitor \(C_0\), a resistor\( R_0\) and an ideal battery. The circuit also contains two keys \(K_1\) and \(K_2\). Initially, both the keys are open and there is no charge on the capacitor. At an instant, key \(K_1\) is closed and immediately after this the current in \(R_0\) is found to be \(I_1\). After a long time, the current attains a steady state value \(I_2\). Thereafter,\( K_2\) is closed and simultaneously \(K_1\) is opened and the voltage across \(C_0\) oscillates with amplitude \(C_0\) and angular frequency \(\omega_0\).
Match the quantities mentioned in List-I with their values in List-II and choose the correct option.
Match the quantities mentioned in List-I with their values in List-II and choose the correct option.
| List-I | List-II | ||
| P | The value of \(I1\) in Ampere is | I | \(0\) |
| Q | The value of I2 in Ampere is | II | \(2\) |
| R | The value of \(\omega_0\) in kilo-radians/s is | III | \(4\) |
| S | The value of \(V_0\) in Volt is | IV | \(20\) |
| 200 | |||
Updated On: Jun 10, 2024
- P → 1; Q → 3; R → 2; S → 5
- P → 1; Q → 2; R → 3; S → 5
- P → 1; Q → 3; R → 2; S → 4
- P → 2; Q → 5; R → 3; S → 4
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The Correct Option is A
Solution and Explanation
The correct option is (A):P → 1; Q → 3; R → 2; S → 5
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