Question 659: Electrostatics & Capacitance

Question

Two condensers, one of capacity C and other of capacity C/2 are connected to a V-volt battery, as shown in the figure. The work done in charging fully both the condensers is

Accepted Answer

As the capacitors are connected in parallel, therefore potential difference across both the condensors remains the same.
$$ 	herefore $$ $${Q_1} = CV$$
$${Q_2} = {C \over 2}V$$
Aslo, $$Q = {Q_1} + {Q_2}$$
$$ = CV + {Q_2} = {3 \over 2}CV$$
Work done in charging fully both the condensors is given by
$$W = {1 \over 2}QV = {1 \over 2} 	imes \left( {{3 \over 2}CV} ight)V = {3 \over 4}C{V^2}$$

Answer

$${1 \over 4}C{V^2}$$

Answer

$${3 \over 4}C{V^2}$$

Answer

$${1 \over 2}C{V^2}$$

Answer

2CV
2

Electrostatics & Capacitance

Two condensers, one of capacity C and other of capacity C/2 are connected to a V-volt battery, as shown in the figure. The work done in charging fully both the condensers is

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