Question 556: Electrostats & Capacitance

Question

If a capacitor of capacity $$900 ~\mu \mathrm{F}$$ is charged to $$100 \mathrm{~V}$$ and its total energy is transferred to a capacitor of capacity $$100 ~\mu \mathrm{F}$$, then its potential will be

Accepted Answer

Let the unknown potential be $$\mathrm{V}_{\mathrm{u}}$$
Energy of a capacitor $$=\frac{1}{2} \mathrm{CV}^2$$
$$\begin{aligned}
& \Rightarrow \frac{1}{2} C_1 V_1^2=\frac{1}{2} C_2\left(V_uight)^2 \
& \frac{1}{2} 	imes 900 	imes 10^{-6} 	imes(100)^2=\frac{1}{2} 	imes 100 	imes 10^{-6} 	imes\left(V_uight)^2 \
& \left(V_uight)^2=9 	imes 100^2 \
	herefore \quad & V_u=300 \mathrm{~V}
\end{aligned}$$

Answer

$$30 \mathrm{~V}$$

Answer

$$200 \mathrm{~V}$$

Answer

$$300 \mathrm{~V}$$

Answer

$$400 \mathrm{~V}$$

Electrostats & Capacitance

If a capacitor of capacity $900 ~\mu \mathrm{F} is charged to 100 \mathrm{~V} and its total energy is transferred to a capacitor of capacity 100 ~\mu \mathrm{F}$, then its potential will be

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