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JEE Main 202117 MarchMorning Shift
Exam
JEE Main
Year
2021
Date
17 March
Shift
Morning Shift
Subject
Physics
Chapter
Capacitance

JEE Main 2021 · 17 March · Morning Shift · Physics · Capacitance

Four identical rectangular plates with length, l = 2cm and breadth,...

Four identical rectangular plates with length, l=2cml = 2cm and breadth, b=32cmb = \dfrac{3}{2}cm are arranged as shown in figure. The equivalent capacitance between AA and CC is xε0d.\dfrac{x{ε}_{0}}{d} . The value of xx is _______.

(Round off to the Nearest Integer)

Four identical rectangular plates with length, l = 2cm and breadth, b = (3)/(2)cm are arranged as shown in figure. The

Correct answer

0

Step-by-step solution

Four identical rectangular plates with length, l = 2cm and breadth, b = (3)/(2)cm are arranged as shown in figure. The

Ceq=2C03=23ϵ0Ad{C}_{eq} = \dfrac{2{C}_{0}}{3} = \dfrac{2}{3}\dfrac{{ϵ}_{0}A}{d}

Ceq=2ϵ03d×(2×32)=2(∵A=1b=2×32){C}_{eq} = \dfrac{2{ϵ}_{0}}{3d} \times \left(2 \times \dfrac{3}{2}\right) = 2\left(∵ A = 1b = 2 \times \dfrac{3}{2}\right)

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