The following arrangement consists of five id | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Let the plates be numbered $1, 2, 3, 4, 5$ from top to bottom.Plate $1$ and $4$ are connected together. Plate $3$ and $5$ are connected to termina

Vedclass · Accepted Answer

$\frac{5}{3} \frac{\varepsilon_0 A}{d}$

Vedclass · Answer

(D) Let the plates be numbered $1, 2, 3, 4, 5$ from top to bottom.Plate $1$ and $4$ are connected together. Plate $3$ and $5$ are connected to terminal $Q$. Plate $2$ is connected to terminal $P$.The capacitance of each pair of adjacent plates is $C = \frac{\varepsilon_0 A}{d}$.There are $4$ capacitors formed between the $5$ plates: $C_{12}, C_{23}, C_{34}, C_{45}$.- $C_{12}$ is between plate $1$ (connected to $4$) and plate $2$ $(P)$.- $C_{23}$ is between plate $2$ $(P)$ and plate $3$ $(Q)$.- $C_{34}$ is between plate $3$ $(Q)$ and plate $4$ (connected to $1$).- $C_{45}$ is between plate $4$ (connected to $1$) and plate $5$ $(Q)$.By analyzing the connections,we find that the equivalent circuit consists of capacitors in a combination of series and parallel. The net capacitance is calculated as $C_{	ext{net}} = \frac{5}{3} C = \frac{5 \varepsilon_0 A}{3d}$.Thus,the correct option is $(d)$.

The following arrangement consists of five identical metal plates parallel to each other. The area of each plate is $A$ and the separation between successive plates is $d$. The capacitance between $P$ and $Q$ is

Similar Questions

Four metal plates,each with surface area $A$ on one side,are placed with separation '$d$' as shown in the figure. The capacitance between $a$ and $b$ is ($\varepsilon_0$ = permittivity of free space).

The plates of a parallel plate capacitor are pulled apart with a velocity $v$. If at any instant their mutual distance of separation is $d$,then the magnitude of the time rate of change of capacity depends on $d$ as follows:

$A$ parallel plate capacitor is charged and then isolated. The effect of increasing the plate separation on charge,potential,and capacitance respectively are:

When a test charge placed in the middle of a parallel plate capacitor experiences a force $F$,what will be the force experienced by the same test charge if one plate is removed?

Charges of $2Q$ and $-Q$ are placed on two plates of a parallel plate capacitor. If the capacitance of the capacitor is $C$,the potential difference between the plates is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module