JEE Main 2022 · 26 Jul · Shift 1 · Physics Q55

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A composite parallel plate capacitor is made up of two different dielectric materials with different thickness ( $t_1$ and $t_2$ ) as shown in figure. The two different dielectric materials are separated by a conducting foil F. The voltage of the conducting foil is ______ V.

Parallel plate capacitor with two dielectric layers, εr1 = 3 with t1 = 0.5 mm and εr2 = 4 with t2 = 1 mm, separated by a foil, connected across a 100 V battery.

Your answer

Answer and worked solution

Official answer: 60

Series capacitors. $V\propto\frac t\varepsilon$ : $\frac{0.5}3:\frac14=2:3$ , so 40 V across layer 1 and 60 V across layer 2; the foil sits at 60 V relative to the lower plate.

Answer: 60

Topics:Dielectrics Series and parallel combinations

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JEE Main 2022 · 26 Jul · Shift 1, Physics question 55