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

The work functions for tungsten and sodium are $4.5 \ eV$ and $2.3 \ eV$ respectively. If the threshold wavelength for sodium is $5460 \ \mathring{A}$,then the threshold wavelength for tungsten is .......... $\mathring{A}$.

The formation of the oxide ion $O^{2-}_{(g)}$ requires first an exothermic and then an endothermic step as shown below:
$O_{(g)} + e^- \to O^-_{(g)}; \Delta H = -142 \ kJ/mol$
$O^-_{(g)} + e^- \to O^{2-}_{(g)}; \Delta H = 844 \ kJ/mol$
This is because:

In the equation $\log S = \log C + Z \log A$,what does '$C$' represent?

$A$ hollow sphere of radius $R$ is filled completely with an ideal liquid of density $\rho$. The sphere is moving horizontally with an acceleration $2g$,where $g$ is the acceleration due to gravity. If the minimum pressure of the liquid is $P_0$,then find the pressure at the centre of the sphere.

Which artery is absent in a frog?

Vedclass Test Series

Exam Paper Generator

Online Exam Module