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  4. A composite parallel plate capacitor is made up of two different dielectric materials with different thickness (t1. and .t2) as shown in figure. The two different dielectric material are separated by a conducting foil F. The voltage of the conducting foil is V

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Q. A composite parallel plate capacitor is made up of two different dielectric materials with different thickness $\left(t_1\right.$ and $\left.t_2\right)$ as shown in figure. The two different dielectric material are separated by a conducting foil $F$. The voltage of the conducting foil is _______$V$Physics Question Image

JEE MainJEE Main 2022Electrostatic Potential and Capacitance

Solution:

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Capacitance of each capacitor
$ C _1=\frac{ A 3 \in_0}{\frac{1}{2}}=6 A \in_0 $
$C _2= A 4 \in_0=4 A \in_0$
Equivalent capacitance
$C _{ eq }=\frac{ C _1 C _2}{ C _1+ C _2} \Rightarrow \frac{24}{10} A \in_0 $
$ q _{ net }= C _{ eq }(\Delta V ) \Rightarrow 240 A \in_0$
$\Delta V _2=\frac{240 A \epsilon_0}{4 A \epsilon_0}=60\, V$
$ (\Delta V _2=$ Potential drop across $C _2)$
$V _{\text {foil }}=60\, V$