Two insulated metallic spheres of 3,mu F and | vedclass

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

Question

(C) The energy loss $\Delta U$ when two capacitors with capacitances $C_1$ and $C_2$ at potentials $V_1$ and $V_2$ are connected is given by the formu

Vedclass · Accepted Answer

$0.0375$

Vedclass · Answer

(C) The energy loss $\Delta U$ when two capacitors with capacitances $C_1$ and $C_2$ at potentials $V_1$ and $V_2$ are connected is given by the formula: $\Delta U = \frac{1}{2} \frac{C_1 C_2 (V_1 - V_2)^2}{C_1 + C_2}$.Given: $C_1 = 3\,\mu F = 3 	imes 10^{-6}\,F$,$C_2 = 5\,\mu F = 5 	imes 10^{-6}\,F$,$V_1 = 300\,V$,$V_2 = 500\,V$.Substituting the values:$\Delta U = \frac{1}{2} 	imes \frac{(3 	imes 10^{-6}) 	imes (5 	imes 10^{-6}) 	imes (500 - 300)^2}{(3 	imes 10^{-6} + 5 	imes 10^{-6})}$$\Delta U = \frac{1}{2} 	imes \frac{15 	imes 10^{-12} 	imes (200)^2}{8 	imes 10^{-6}}$$\Delta U = \frac{15 	imes 10^{-12} 	imes 40000}{2 	imes 8 	imes 10^{-6}}$$\Delta U = \frac{60 	imes 10^{-8}}{16 	imes 10^{-6}} = 3.75 	imes 10^{-2}\,J = 0.0375\,J$.

Two insulated metallic spheres of $3\,\mu F$ and $5\,\mu F$ capacitances are charged to $300\,V$ and $500\,V$ respectively. The energy loss,when they are connected by a wire is (in $,J$)

Similar Questions

$A$ gaseous mixture contains $50\%$ helium and $50\%$ methane by volume. Find the percentage by weight of methane in this gaseous mixture.

Which of the following is a major source of protein?

If $l, m, n$ are in arithmetic progression,then the straight line $lx + my + n = 0$ will always pass through the point:

The centre of mass of a system of particles does not depend on:

Vedclass Test Series

Exam Paper Generator

Online Exam Module