Problem

An inductor of inductance

2.0 \text{ mH}

is connected across a charged capacitor of capacitance

5.0 \text{ } \mu\text{F}

and the resulting L-C circuit is set oscillating at its natural frequency. Let

Q

denotes the instantaneous charge on the capacitor and

I

the current in the circuit. It is found that the maximum value of

Q

200 \text{ } \mu\text{C}

. (JEE 1998) a. When

Q = 100 \text{ } \mu\text{C}

, what is the value of

|dI/dt|

? b. When

Q = 200 \text{ } \mu\text{C}

, what is the value of

I

? c. Find the maximum value of

I

. d. When

I

is equal to one-half of its maximum value, what is the value of

|Q|