Four parallel large plates separated by equal distance d are arranged as shown. The area of the plate is S . Find the potential difference between the plates B and C if the plate B is given charge Q .

Question

Four parallel large plates separated by equal distance d are arranged as shown. The area of the plate is S . Find the potential difference between the plates B and C if the plate B is given charge Q . <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-ffpvj6othjvu.png" /> (A) (Q d/3 ϵ 0 S) (B) (2 Q d/3 ϵ 0 S) (C) (Q d/ϵ 0 S) (D) (2 Q d/ϵ 0 S)

Tardigrade Admin · Accepted Answer

Treat parallel plates as capacitor and then make potential difference zero from A to D by assuming some charge on each plate .
Solution

∴ P o t e n t ia l d i ff ere n ce \frac{Q}{3 C} = \frac{Q d}{3 ϵ _{0} S}

Q. Four parallel large plates separated by equal distance $d$ are arranged as shown. The area of the plate is $S$ . Find the potential difference between the plates $B$ and $C$ if the plate $B$ is given charge $Q$ .

$\frac{Q d}{3 ϵ _{0} S}$

$\frac{2 Q d}{3 ϵ _{0} S}$

$\frac{Q d}{ϵ _{0} S}$

$\frac{2 Q d}{ϵ _{0} S}$

Treat parallel plates as capacitor and then make potential difference zero from A to D by assuming some charge on each plate .

$∴ P o t e n t ia l d i ff ere n ce \frac{Q}{3 C} = \frac{Q d}{3 ϵ _{0} S}$

Q. Four parallel large plates separated by equal distance d are arranged as shown. The area of the plate is S . Find the potential difference between the plates B and C if the plate B is given charge Q .

3ϵ0​SQd​

3ϵ0​S2Qd​

ϵ0​SQd​

ϵ0​S2Qd​