LC Oscillator

Practice Questions:

Question 1: moderate

An LC oscillator contains inductance L = 1μH and capacitance C = 0.01μF, The wave length of electromagnetic wave generated is nearly :

1. 0.5m

2. 5m

3. 188 m

4. 30 m

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Question 2: moderate

In an oscillating LC circuit the maximum charge on the capacitor is Q. The charge on the capacitor when the energy is stored equally between the electric and magnetic fields is:

1. Q/2

2. Q/√3

3. Q/√2

4. Q

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Question 3: moderate

A fully charged capacitor C, with initial charge q0, is connected to a coil of self inductance L at t = 0. The time at which the energy is stored equally between the electric and magnetic field is:

1. \[2\pi\sqrt{LC}\]

2. \[\sqrt{LC}\]

3. \[\pi\sqrt{LC}\]

4. \[\frac{\pi}{4}\sqrt{LC}\]

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Question 4: moderate

A condenser of capacity C is charged to a potential difference of V1. The plates of the condenser are then connected to an ideal inductor of inductance L. The current through the indictors when the potential difference across the condenser reduces to V2 is ?

1. \[\frac{C\left( V_{1}^{2}-V_{2}^{2} \right)}{2}\]

2. \[\frac{C\left( V_{1}^{2}+V_{2}^{2} \right)}{2}\]

3. \[\left( \frac{C\left( V_{1}^{2}-V_{2}^{2} \right)}{L} \right)^{1/2}\]

4. \[\left( \frac{C\left( V_{1}-V_{2} \right)^{2}}{L} \right)^{1/2}\]

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