A capacitor of 2,, mu F is charged as shown i | vedclass

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

Question

Initially, the energy stored in $2 \,\mu F$ capacitor is

$U_{i}=\frac{1}{2} C V^{2}=\frac{1}{2}\left(2 	imes 10^{-6}ight) V^{2}=V^{2} 	imes 10^

Vedclass · Accepted Answer

$80$

Vedclass · Answer

Initially, the energy stored in $2 \,\mu F$ capacitor is

$U_{i}=\frac{1}{2} C V^{2}=\frac{1}{2}\left(2 	imes 10^{-6}ight) V^{2}=V^{2} 	imes 10^{-6}\, \mathrm{J}$

Initially, the charge stored in $2\, \mu \mathrm{F}$ capacitor is

$Q_{i}=C V=\left(2 	imes 10^{-6}ight)\, V=2 V 	imes 10^{-6}$ coulomb. When switch $S$ is turned to position $2,$ the charge flows and both the capacitors share charges till a common potential $V_{c}$ is reached.

$V_{C}=\frac{	ext { total charge }}{	ext { total capacitance }}=\frac{2 V 	imes 10^{-6}}{(2+8) 	imes 10^{-6}}=\frac{V}{5} 	ext { volt }$

Finally, the energy stored in both the capacitors

$U_{f}=\frac{1}{2}\left[(2+8) 	imes 10^{-6}ight]\left(\frac{V}{5}ight)^{2}=\frac{V^{2}}{5} 	imes 10^{-6} \,\mathrm{J}$

$\%$ loss of energy, $\Delta U=\frac{U_{i}-U_{f}}{U_{i}} 	imes 100 \%$

$=\frac{\left(V^{2}-V^{2} / 5ight) 	imes 10^{-6}}{V^{2} 	imes 10^{-6}} 	imes 100 \%=80 \%$

A capacitor of $2\,\, \mu F$ is charged as shown in the diagram. When the switch $S$ is turned to position $2,$ the percentage of its stored energy dissipated is ......$\%$

Similar Questions

As in figure shown, if a capacitor $C$ is charged by connecting it with resistance $R$, then energy is given by the battery will be

In which of the following stores maximum energy ?

A parallel plate capacitor after charging is kept connected to a battery and the plates are pulled apart with the help of insulating handles. Now which of the following quantities will decrease?

Energy is stored in what form in capacitor ?

The insulated spheres of radii ${R_1}$ and ${R_2}$ having charges ${Q_1}$and ${Q_2}$ respectively are connected to each other. There is