Question

Q.25. IF W be the amount oh
heat produced in the process
of charging an uncharged
capacitor then the amount of
charged stored in it is.​

Answer 1

Answer:stored in a capacitor is electrostatic potential energy and is thus related to the charge Q and voltage V between the capacitor plates. A charged capacitor stores energy in the electrical field between its plates. As the capacitor is being charged, the electrical field builds up.

Explanation:

Answer 2

Answer:

The amount of charge stored in capacitor is Q = $\sqrt{2CW}$

Concept:

Energy stored in a capacitor.

Given:

Heat produced (or Heat loss) in the process of charging an uncharged capacitor, H = W

Solution:

let us consider that while charge the capacitor Q amount of charge is supplied to the capacitor by the battery and the potential difference across the capacitor be V.

Accordingly,

Work Done by the battery, $W_B$ = QV

Energy stored in capacitor after charging is given by,

$U = \frac{1}{2} \frac{Q^2}{C}$

By applying Energy Conservation theorem, we get

Work Done by the battery = Energy stored in capacitor + Heat loss

$W_B$  = U + H

$QV = \frac{1}{2} \frac{Q^2}{C} + W$

$W = QV - \frac{1}{2} \frac{Q^2}{C}$$W = Q\frac{Q}{C} -\frac{1}{2} \frac{Q^2}{C}$

$W = \frac{Q^2}{C} -\frac{1}{2} \frac{Q^2}{C} = \frac{1}{2} \frac{Q^2}{C}$

$Q^2 = 2CW$

$Q = \sqrt{2CW}$

Hence, the amount of charge stored in it is $Q = \sqrt{2CW}$.

#SPJ2