In the figure,the charge on the capacitor is | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The energy stored in a capacitor is given by the formula:$U = \frac{1}{2} C V^{2} \dots (i)$where $C$ is the capacitance and $V$ is the potential

Vedclass · Accepted Answer

$12 \mu F, 600 \mu J$

Vedclass · Answer

(B) The energy stored in a capacitor is given by the formula:$U = \frac{1}{2} C V^{2} \dots (i)$where $C$ is the capacitance and $V$ is the potential difference.From the given graph,the slope is:$	ext{Slope} = 	an 	heta = \frac{Q}{V} = \frac{120 \mu C}{10 	ext{ V}} = 12 \mu F \dots (ii)$Since the capacitance $C = \frac{Q}{V}$,we have:$C = 12 \mu F = 12 	imes 10^{-6} 	ext{ F}$Now,substituting the values of $C = 12 	imes 10^{-6} 	ext{ F}$ and $V = 10 	ext{ V}$ into Eq. $(i)$:$U = \frac{1}{2} 	imes (12 	imes 10^{-6} 	ext{ F}) 	imes (10 	ext{ V})^{2}$$U = \frac{1}{2} 	imes 12 	imes 10^{-6} 	imes 100$$U = 6 	imes 10^{-4} 	ext{ J} = 600 	imes 10^{-6} 	ext{ J} = 600 \mu J$Thus,the capacitance is $12 \mu F$ and the energy stored is $600 \mu J$.

In the figure,the charge on the capacitor is plotted against the potential difference across the capacitor. The capacitance and energy stored in the capacitor are respectively:

Similar Questions

If the charge on a body is increased by $2 \ C$,the energy stored in it increases by $21 \%$. The original charge on the body in coulomb is:

The capacity of a capacitor is $4 \times 10^{-6} \, F$ and its potential is $100 \, V$. The energy released on discharging it fully will be ....... $J$.

When an uncharged capacitor is connected to a battery to charge it fully,

$A$ capacitor is charged by a battery and the energy stored in it is $U$. The battery is now removed and the separation distance between the plates is doubled. The energy stored now is:

$A$ capacitor has a capacity of $2\,\mu F$ and is charged to a voltage of $50\,V$. The energy stored is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module