A 5, mu F capacitor is charged fully by a 220 | vedclass

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

Question

(A) Initial energy stored in the capacitor: $U_i = \frac{1}{2} C_1 V^2 = \frac{1}{2} 	imes (5 	imes 10^{-6}) 	imes (220)^2 = 0.121 \, J$.When conne

Vedclass · Accepted Answer

$4$

Vedclass · Answer

(A) Initial energy stored in the capacitor: $U_i = \frac{1}{2} C_1 V^2 = \frac{1}{2} 	imes (5 	imes 10^{-6}) 	imes (220)^2 = 0.121 \, J$.When connected to an uncharged capacitor $C_2 = 2.5 \, \mu F$,the charge $Q = C_1 V = 5 	imes 10^{-6} 	imes 220 = 1.1 	imes 10^{-3} \, C$ redistributes.The common potential $V'$ is given by $V' = \frac{Q}{C_1 + C_2} = \frac{1.1 	imes 10^{-3}}{(5 + 2.5) 	imes 10^{-6}} = \frac{1100}{7.5} = \frac{440}{3} \, V$.Final energy stored: $U_f = \frac{1}{2} (C_1 + C_2) (V')^2 = \frac{1}{2} 	imes (7.5 	imes 10^{-6}) 	imes (\frac{440}{3})^2 = 0.08066 \, J$.Energy change $\Delta U = U_f - U_i = 0.08066 - 0.121 = -0.04033 \, J$.Given $\Delta U = -\frac{X}{100} \, J$ (considering magnitude of loss),we have $\frac{X}{100} = 0.04033$,so $X \approx 4$.

Similar Questions

$A$ capacitor of capacitance $C_1 = 1 \ \mu F$ is charged using a $9 \ V$ battery. $C_1$ is then removed from the battery and connected to capacitors $C_2$ and $C_3$ of $2 \ \mu F$ and $3 \ \mu F$ respectively,as shown in the figure. Find the charge on $C_3$ after equilibrium is reached.

The energy stored in the capacitor shown in figure $(a)$ is $4.5 \times 10^{-6} \ J$. If the battery is disconnected and the capacitor is connected to another uncharged capacitor of $900 \ pF$ as shown in figure $(b)$,what will be the total energy of the system?

Two metal spheres of capacitance $C_1$ and $C_2$ carry some charges. They are put in contact and then separated. The final charges $Q_1$ and $Q_2$ on them will satisfy

$A$ conducting sphere of radius $R$ carrying a charge $q$ is joined by a conducting wire to a conducting sphere of radius $2R$ carrying a charge $-2q$. The charge flowing between them will be:

There are two conducting spheres of radii $10 \ cm$ and $20 \ cm$. One sphere is given a charge of $150 \ \mu C$ and is connected to the other sphere by a wire. What will be their common potential?

Vedclass Test Series

Exam Paper Generator

Online Exam Module