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QJEEM21Phdb2c: JEE Main 2021 Physics - Class 12 JEEM21Phdb2c Solution: Four identical rectangular plates with length, l = 2 cm and…

Four identical rectangular plates with length, l = 2 cm and breadth, b = 32{3 \over 2} cm are arranged as shown in figure. The equivalent capacitance between A and C is xε0d{{x{\varepsilon _0}} \over d} . The value of x is ______________. (Round off to the Nearest Integer)

JEE Main 2021 (Online) 17th March Morning Shift Physics - Capacitor Question 86 English

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JEE Main 2021 (Online) 17th March Morning Shift Physics - Capacitor Question 86 English Explanation
Ceq=2C×C2C+C=2C3{C_{eq}} = {{2C \times C} \over {2C + C}} = {{2C} \over 3}

=23∈0Ad=23×∈0d×(2×32)=2ε0d= {2 \over 3}{{{ \in _0}A} \over d} = {2 \over 3} \times {{{ \in _0}} \over d} \times \left( {2 \times {3 \over 2}} \right) = {{2{\varepsilon _0}} \over d}

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