Frequency of Oscillations in LC Circuit

Q. If instantaneous voltage and current is given by v=50 sin 314t and i=50 sin 314 t . Find the power dissipated.

Q. A capacitor of capacity $2\mu F$ is charged to a potential difference of $12\text{V}$. It is then connected across an inductor of inductance $0.6\text{mH}$. The current in the circuit at a time when the P.D. across the capacitor is $6\text{V}$ is (in ampere).

Q. A capcitor of capacitance $25\mu F$ is charged to $300V$. It is then connected across a $10mH$ inductor. What is the frequency of oscillation of the circuit? The resistance of the circuit is negligible

1. $\frac{1000}{\pi }Hz$
2. $\frac{1000}{\sqrt{3}}Hz$
3. $\frac{100}{\pi }Hz$
4. $\frac{100}{\sqrt{2}}Hz$

Q. If an LC circuit has C= 1uF and L=0.25 henry, neglecting any resistance in the circuit, what is the frequency of oscillation?
(BHU 2003; MP PMT 2005)

1. 100Hz
2. 318Hz
3. 576Hz
4. 812Hz

Q. An alternating voltage v(t) = 220 sin 100wt volt is applied to a purely resistive load of 50 ohm. The time taken for the current to rise from half of the peak value to the peak value is (1) 2.2 ms (2) 7.2 ms (3) 5 ms (4) 3.3 ms

Q. a battery supplies a current of 0.9A through a 2.0 ohm resister and a current of 0.3A through a 7.0 ohm resister .calculate the emf and the internal resistance of the battery .