There are six parallel plates of equal area A are arranged as shown in figure (d

Question

There are six parallel plates of equal area A are arranged as shown in figure (d < < A). The equivalent capacitance between points 2 and 5, is α (ε0 A/ d). Then find the value of α <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-ievxbrqwst1jjhcf.jpg" /> (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="Solution" src="https://cdn.tardigrade.in/q/nta/p-ievxbrqwst1jik86.jpg" /> This is balance bridge CA B=C=(ε 0 A/ d)=α (ε 0 A/ d) α =1

Q. There are six parallel plates of equal area A are arranged as shown in figure $(d << A) .$ The equivalent capacitance between points $2$ and $5,$ is $α \frac{ε _{0} A}{d} .$ Then find the value of $α$

This is balance bridge
$C_{A B} = C = \frac{ε _{0} A}{d} = α \frac{ε _{0} A}{d}$
$α = 1$

Q. There are six parallel plates of equal area A are arranged as shown in figure (d<<A). The equivalent capacitance between points 2 and 5, is αdε0​A​. Then find the value of α

This is balance bridge CAB​=C=dε0​A​=αdε0​A​ α=1

Q. There are six parallel plates of equal area A are arranged as shown in figure $(d << A) .$ The equivalent capacitance between points $2$ and $5,$ is $α \frac{ε _{0} A}{d} .$ Then find the value of $α$

This is balance bridge
$C_{A B} = C = \frac{ε _{0} A}{d} = α \frac{ε _{0} A}{d}$
$α = 1$