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

Which of the following values indicates hypertension?

If $f: R \rightarrow R$ and $g: R \rightarrow R$ are defined by $f(x)=2x+3$ and $g(x)=x^2+7$,then the values of $x$ such that $g(f(x))=8$ are

In the $Hoop$ process for the refining of $Al$,the molten materials form three different layers and remain separate during electrolysis because ..........

The number of radial nodes of $3s$ and $2p$ orbitals respectively are

Vedclass Test Series

Exam Paper Generator

Online Exam Module