A 10 mu F capacitor is charged by a 100 text{ | vedclass

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

Question

(D) Given: $C_1 = 10 \mu F$,$V_1 = 100 	ext{ V}$,$C_2 = 30 \mu F$,$V_2 = 0 	ext{ V}$.When two capacitors are connected,the electrostatic energy lost

Vedclass · Accepted Answer

$3.75 	imes 10^{-2} 	ext{ J}$

Vedclass · Answer

(D) Given: $C_1 = 10 \mu F$,$V_1 = 100 	ext{ V}$,$C_2 = 30 \mu F$,$V_2 = 0 	ext{ V}$.When two capacitors are connected,the electrostatic energy lost during the redistribution of charge is given by the formula:$\Delta U = \frac{1}{2} \left( \frac{C_1 C_2}{C_1 + C_2} ight) (V_1 - V_2)^2$Substituting the values:$\Delta U = \frac{1}{2} \left( \frac{10 	imes 10^{-6} 	imes 30 	imes 10^{-6}}{10 	imes 10^{-6} + 30 	imes 10^{-6}} ight) (100 - 0)^2$$\Delta U = \frac{1}{2} \left( \frac{300 	imes 10^{-12}}{40 	imes 10^{-6}} ight) (10000)$$\Delta U = \frac{1}{2} 	imes (7.5 	imes 10^{-6}) 	imes 10^4$$\Delta U = 3.75 	imes 10^{-2} 	ext{ J}$.

$A$ $10 \mu F$ capacitor is charged by a $100 \text{ V}$ battery. It is disconnected from the battery and is connected to another uncharged capacitor of capacitance $30 \mu F$. During this process,the electrostatic energy lost by the first capacitor is

Similar Questions

If $P = \begin{bmatrix} 1 & \alpha & 3 \\ 1 & 3 & 3 \\ 2 & 4 & 4 \end{bmatrix}$ is the adjoint of a $3 \times 3$ matrix $A$ and $|A| = 4$,then $\alpha$ is equal to:

If $\overrightarrow{a}, \overrightarrow{b}, \overrightarrow{c}$ are three vectors such that $\overrightarrow{a}=\overrightarrow{b}+\overrightarrow{c}$ and the angle between $\overrightarrow{b}$ and $\overrightarrow{c}$ is $\frac{\pi}{2}$,then:

$n$ conducting wires of same dimensions but having resistivities $1, 2, 3, . . . , n$ are connected in series. The equivalent resistivity of the combination is

The motion of a particle along a straight line is described by the equation $x = 8 + 12t - t^3$,where $x$ is in $m$ and $t$ is in $s$. The retardation of the particle when its velocity becomes zero is ....... $m s^{-2}$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module