Question

Draw graphs showing the distribution of charge in a capacitor and current through an inductor during LC oscillations with respect to time.Assume that the charge in the capacitor is maximum initially.​

Answer 1

To Draw:

Graphs showing the distribution of charge in a capacitor and current through an inductor during LC oscillation with respect to time.

Concept:

First , let's talk about LC oscillations :

In this type of Oscillation , L stands for Inductor and C stands for Capacitor.

When a charged capacitor is connected in a circuit along with an inductor, the charge of the capacitor and the electric current undergoes a periodic oscillation.

Since , this is a periodic oscillation it follows a definite frequency and a time period.

It is seen that whenever the charge on the capacitor is maximum the current in the circuit is minimum and vice versa.

Mathematical equations:

At resonance , the frequency of oscillation will be given by :

$\boxed{ \sf{f = \dfrac{1}{2\pi \sqrt{LC} } }}$

Index for Graph:

• White line : Charge => q(t)

• Green line : Current => i(t)