JEE Main 2022 · 27 Jun · Shift 2 · Physics Q55

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PhysicsInteger+4 / -1Question 55 of 90

A parallel plate capacitor is made up of stair like structure with a plate area A of each stair and that is connected with a wire of length b, as shown in the figure. The capacitance of the arrangement is $\dfrac x{15}\dfrac{\varepsilon_0A}b$ . The value of $x$ is ______.

Two stepped plates facing each other. The upper plate has three horizontal steps of area A, each step lower by b moving right; the lower plate has three steps of area A, each higher by b moving right. Facing steps are 5b, 3b and b apart from left to right.

Your answer

Answer and worked solution

Official answer: 23

Three capacitors in parallel with gaps $5b$ , $3b$ and $b$ : $C=\dfrac{\varepsilon_0A}b\left(\frac15+\frac13+1\right)=\dfrac{23}{15}\dfrac{\varepsilon_0A}b$ .

Answer: 23

Topics:Series and parallel combinations Capacitors and capacitance

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JEE Main 2022 · 27 Jun · Shift 2, Physics question 55