In the circuit shown,the energy stored in the | vedclass

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

Question

(C) The $5 \ \mu F$ and $1 \ \mu F$ capacitors are in parallel,so their equivalent capacitance is $C_p = 5 \ \mu F + 1 \ \mu F = 6 \ \mu F$.This $6 \

Vedclass · Accepted Answer

$32$

Vedclass · Answer

(C) The $5 \ \mu F$ and $1 \ \mu F$ capacitors are in parallel,so their equivalent capacitance is $C_p = 5 \ \mu F + 1 \ \mu F = 6 \ \mu F$.This $6 \ \mu F$ capacitor is in series with the $3 \ \mu F$ capacitor. The equivalent capacitance of this branch is $C_{branch} = \frac{3 	imes 6}{3 + 6} = \frac{18}{9} = 2 \ \mu F$.The total charge flowing through this branch is $Q = C_{branch} 	imes V = 2 \ \mu F 	imes 24 \ V = 48 \ \mu C$.Let $q_1$ be the charge on the $5 \ \mu F$ capacitor and $q_2$ be the charge on the $1 \ \mu F$ capacitor. Since they are in parallel,the potential difference across them is the same: $\frac{q_1}{5} = \frac{q_2}{1}$,which implies $q_1 = 5q_2$.Since $q_1 + q_2 = 48 \ \mu C$,we have $5q_2 + q_2 = 48 \ \mu C$,so $6q_2 = 48 \ \mu C$,which gives $q_2 = 8 \ \mu C$.The energy stored in the $1 \ \mu F$ capacitor is $U = \frac{q_2^2}{2C} = \frac{(8 \ \mu C)^2}{2 	imes 1 \ \mu F} = \frac{64}{2} = 32 \ \mu J$.

In the circuit shown,the energy stored in the $1 \ \mu F$ capacitor is ...... $\mu J$.

Similar Questions

The equivalent capacitance between $ A $ and $ B $ is,

The difference between the equivalent capacitances of two identical capacitors connected in parallel and in series is $6 \mu F$. The value of the capacitance of each capacitor is (in $\mu F$)

Two capacitors of equal capacity are first connected in parallel and then in series. The ratio of the total capacities in the two cases will be

The effective capacitances of two capacitors are $3\,\mu F$ and $16\,\mu F$,when they are connected in series and parallel respectively. The capacitances of the two capacitors are:

Five capacitors,each of value $1 \mu F$,are connected as shown in the figure. The equivalent capacitance between $A$ and $B$ is (in $\mu F$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module