Four identical rectangular plates with length, l=2 , cm and bread… - Vidyadip

MCQ

Four identical rectangular plates with length, $l=2\, cm$ and breadth, $b =\frac{3}{2}\, cm$ are arranged as shown in figure. The equivalent capacitance between $A$ and $C$ is $\frac{ x \varepsilon_{0}}{ d } .$ The value of $x$ is (Round off to the Nearest Integer)

A
$0$
B
$1$
C
$4$
✓
$2$

✓

Answer

Correct option: D.

$2$

d
$C _{ eq }=\frac{2 C _{0}}{3}=\frac{2}{3} \frac{ \epsilon _{0} A }{ d }$

$C _{ eq }=\frac{2 \epsilon_{0}}{3 d } \times\left(2 \times \frac{3}{2}\right)=2\left(\because A =1 b =2 \times \frac{3}{2}\right)$981-s594

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