The given circuit shows two capacitors connec | vedclass

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

Question

(B) $1$. Initial state: The capacitors $C$ and $2C$ are in series with battery $E$. The equivalent capacitance is $C_{eq} = \frac{C 	imes 2C}{C + 2C}

Vedclass · Accepted Answer

$0, \frac{CE^2}{3}$

Vedclass · Answer

(B) $1$. Initial state: The capacitors $C$ and $2C$ are in series with battery $E$. The equivalent capacitance is $C_{eq} = \frac{C 	imes 2C}{C + 2C} = \frac{2C}{3}$.$2$. The charge on each capacitor is $q = C_{eq}E = \frac{2CE}{3}$.$3$. Initial energy stored: $U_i = \frac{1}{2} C_{eq} E^2 = \frac{1}{2} (\frac{2C}{3}) E^2 = \frac{CE^2}{3}$.$4$. Final state: The capacitors are disconnected and reconnected with opposite polarity. The net charge on the plates connected together is $q - q = 0$. Since the total charge is zero,the final charge on each capacitor is $0$.$5$. Final energy stored: $U_f = 0$.$6$. Energy lost: $\Delta U = U_i - U_f = \frac{CE^2}{3} - 0 = \frac{CE^2}{3}$.$7$. Thus,the charge on $2C$ is $0$ and the energy lost is $\frac{CE^2}{3}$.

The given circuit shows two capacitors connected to a battery. After the capacitors are completely charged,the battery is removed and the capacitors are connected with plates of opposite polarity together. Then the charge on $2C$ and the energy lost in the process are respectively

Similar Questions

$A$ spherical conductor of radius $2\,m$ is charged to a potential of $120\,V$. It is now placed inside another hollow spherical conductor of radius $6\,m$. Calculate the potential to which the bigger sphere would be raised.

The charge deposited on the $4 \mu F$ capacitor in the circuit is

The ratio of potential difference that must be applied across parallel and series combination of two capacitors $C_1$ and $C_2$ with their capacitance in the ratio $1: 2$ so that energy stored in these two cases becomes same is

The charge on the $4\,\mu F$ capacitor in the given circuit is .... in $\mu C$.

Calculate the charge on the capacitor in the steady state. (in $\mu C$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module