A parallel plate capacitor of capacitance 2; | vedclass

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

Question

(B) Initially,the energy stored in the capacitor of capacitance $C = 2\; F$ at potential $V$ is given by:$E_1 = \frac{1}{2} CV^2 = \frac{1}{2} (2) V^2

Vedclass · Accepted Answer

$1: 2$

Vedclass · Answer

(B) Initially,the energy stored in the capacitor of capacitance $C = 2\; F$ at potential $V$ is given by:$E_1 = \frac{1}{2} CV^2 = \frac{1}{2} (2) V^2 = V^2$When this charged capacitor is connected in parallel to an identical uncharged capacitor,the total charge $Q = CV = 2V$ is redistributed equally between the two capacitors because they are identical.The new potential $V'$ across each capacitor is:$V' = \frac{Q_{total}}{C_{total}} = \frac{2V}{2C} = \frac{2V}{4} = \frac{V}{2}$The total energy $E_2$ stored in the combination is:$E_2 = 2 	imes \left( \frac{1}{2} C (V')^2 ight) = C \left( \frac{V}{2} ight)^2 = 2 	imes \frac{V^2}{4} = \frac{V^2}{2}$Therefore,the ratio $E_2 / E_1$ is:$\frac{E_2}{E_1} = \frac{V^2 / 2}{V^2} = \frac{1}{2}$

$A$ parallel plate capacitor of capacitance $2\; F$ is charged to a potential $V$. The energy stored in the capacitor is $E_1$. The capacitor is now connected to another uncharged identical capacitor in parallel combination. The energy stored in the combination is $E_2$. The ratio $E_2 / E_1$ is

Similar Questions

How many $6 \mu F, 200 \ V$ capacitors are needed to make a capacitor of $18 \mu F, 600 \ V$?

The charge on the $4 \mu F$ capacitor in the given circuit is (in $\mu C$)

Four capacitors are connected as shown in the figure. Their capacities are indicated in the figure. The effective capacitance between points $x$ and $y$ is (in $\mu F$)

Seven capacitors,each of capacity $2\,\mu F$,are to be connected to have a total capacity of $\frac{10}{11}\,\mu F$. Which of the following figures shows the correct arrangement?

Two thin conducting shells of radii $R$ and $3R$ are shown in the figure. The outer shell carries a charge $+Q$ and the inner shell is neutral. The inner shell is earthed with the help of a switch $S$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module