Question 160: Electrostatics & Capacitance

Question

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

Accepted Answer

$${C_{eq}} = {{2C 	imes C} \over {2C + C}} = {{2C} \over 3} $$
$$= {2 \over 3}{{{ \in _0}A} \over d} = {2 \over 3} 	imes {{{ \in _0}} \over d} 	imes \left( {2 	imes {3 \over 2}} ight) = {{2{\varepsilon _0}} \over d}$$

Electrostatics & Capacitance

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

Integer / Numeric Answer Type