Question 356: Electrostats & Capacitance

Question

A capacitor of $$10 \mu \mathrm{F}$$ capacitance whose plates are separated by $$10 \mathrm{~mm}$$ through air and each plate has area $$4 \mathrm{~cm}^2$$ is now filled equally with two dielectric media of $$K_1=2, K_2=3$$ respectively as shown in figure. If new force between the plates is $$8 \mathrm{~N}$$. The supply voltage is ________ V.

Accepted Answer

$$\begin{array}{ll}
C_1=10 \mu \mathrm{F} & C_2=15 \mu \mathrm{F} \
F=F_1+F_2 &
\end{array}$$
$$\begin{aligned}
& F=\frac{\left(10 	imes 10^{-6} Vight)^2}{2 \cdot \frac{A}{2} \cdot \epsilon_0}+\frac{(15~~10)}{2 \cdot \frac{A}{2} \cdot \epsilon_0}=8 \
& V^2=0.9 	imes 10^{-4} \
& V=0.95 	imes 10^{-2} \mathrm{~V} \
\end{aligned}$$
Data in consistent. Answer not matching.

Electrostats & Capacitance

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