Name: Magnetic Energy Density Stored in a Solenoid
Uploaded: 2019-07-19
Duration: 6 min 18 s
Description: The fourth state of matter is plasma and it is superheated matter. Where can we store this kind of energy? In a solenoid! Tune in to learn more about energy...

Question

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

Accepted Answer

In an ideal LC oscillation circuit, there is no loss of any energy. Whenever energy is given to a circuit containing a capacitor and an inductor, the energy oscillates back and forth between the magnetic energy of the inductor and the electric energy of the capacitor. This oscillation is known as LC oscillation.
For a LC circuit, frequency of oscillation is given as: $f = \frac{1}{2 π} \sqrt{\frac{1}{L C}}$
So, time-period of the oscillation is, $T = \frac{1}{f} = 2 π \sqrt{L C}$

Let the maximum charge on the capacitor be $q_{0}$ .

$q (t)$ represents the charge on capacitor with time and $i (t)$ represents the current through inductor with time

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

Important Questions on Electromagnetic Induction and Alternating Current

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