An inductor of inductance is connected across a charged capacitor of capacitance

PHYSICS · Multi-part · ISC · Physics · Electromagnetic Induction and Alternating Currents · Electromagnetic Induction and Alternating Currents

Problem

An inductor of inductance

2.0\,\text{mH}

is connected across a charged capacitor of capacitance

5.0\,\mu\text{F}

, and the resulting

LC

circuit is set oscillating at its natural frequency. Let

q

denote the instantaneous charge on the capacitor and

i

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

q

200\,\mu\text{C}

. (1) When

q=100\,\mu\text{C}

, what is the value of

\left|\dfrac{di}{dt}\right|

? (2) When

q=200\,\mu\text{C}

, what is the value of

i

? (3) Find the maximum value of

i

. (4) When

i

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

|q|