(C) The capacitor is divided into three parallel capacitors,each with area $A' = A/3$ and the same plate separation $d$.The equivalent capacitance $C_

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

(C) The capacitor is divided into three parallel capacitors,each with area $A' = A/3$ and the same plate separation $d$.The equivalent capacitance $C_{net}$ is the sum of the individual capacitances:$C_{net} = C_1 + C_2 + C_3$Using the formula for a parallel plate capacitor $C = \frac{K \epsilon_0 A}{d}$,we have:$\frac{K_{eq} \epsilon_0 A}{d} = \frac{K_1 \epsilon_0 (A/3)}{d} + \frac{K_2 \epsilon_0 (A/3)}{d} + \frac{K_3 \epsilon_0 (A/3)}{d}$Canceling the common terms $\frac{\epsilon_0 A}{3d}$ from both sides:$K_{eq} = \frac{K_1 + K_2 + K_3}{3}$Substituting the given values:$K_{eq} = \frac{10 + 12 + 14}{3} = \frac{36}{3} = 12$Thus,the equivalent dielectric constant is $12$.

Class 12 Physics Electrostatic Potential and Capacitance Effect of Dielectric Inside Capacitor

Difficult

$A$ parallel plate capacitor has an area of $6 \, cm^2$ and a separation of $3 \, mm$. The gap is filled with three dielectric materials of equal thickness (see figure) with dielectric constants $K_1 = 10, K_2 = 12$,and $K_3 = 14$. The dielectric constant of a material which,when fully inserted in the above capacitor,gives the same capacitance would be:

JEE MAIN 2019 All JEE MAIN

A
$4$
B
$14$
C
$12$
D
$36$

Explore More

Browse All

Question Bank

All Subjects

Class 12 Questions

Class 12

Physics Questions

Chapter

Electrostatic Potential and Capacitance

Subtopic

Effect of Dielectric Inside Capacitor

Previous Year

JEE MAIN 2019 Paper All JEE MAIN years →

$A$ parallel plate capacitor $C$ with plates of unit area and separation $d$ is filled with a liquid of dielectric constant $K=2$. The initial level of the liquid is $\frac{d}{3}$. Suppose the liquid level decreases at a constant speed $V$. Find the time constant $\tau$ as a function of time $t$.

IIT 2008

View Solution

The capacity of a parallel plate capacitor is $5\,\mu F$. When a glass plate is placed between the plates of the capacitor,its potential becomes $1/8^{th}$ of the original value. The value of the dielectric constant will be

Easy

View Solution

$A$ parallel plate capacitor has a capacity $80 \times 10^{-6} \,F$, when air is present between the plates. The volume between the plates is then completely filled with a dielectric slab of dielectric constant $20$. The capacitor is now connected to a battery of $30 \,V$ by wires. The dielectric slab is then removed. Then, the charge that passes now through the wire is

MediumAP EAMCET 2012

View Solution

$A$ capacitor stores $60 \mu C$ charge when connected across a battery. When the gap between the plates is filled with a dielectric,a charge of $120 \mu C$ flows through the battery. The dielectric constant of the material inserted is:

Medium

View Solution

$A$ parallel plate capacitor is made of two circular plates separated by a distance $5 \ mm$ and with a dielectric of dielectric constant $2.2$ between them. When the electric field in the dielectric is $3 \times 10^4 \ Vm^{-1}$,the charge density of the positive plate will be close to:

MediumJEE MAIN 2014

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

Similar Questions

$A$ parallel plate capacitor $C$ with plates of unit area and separation $d$ is filled with a liquid of dielectric constant $K=2$. The initial level of the liquid is $\frac{d}{3}$. Suppose the liquid level decreases at a constant speed $V$. Find the time constant $\tau$ as a function of time $t$.

The capacity of a parallel plate capacitor is $5\,\mu F$. When a glass plate is placed between the plates of the capacitor,its potential becomes $1/8^{th}$ of the original value. The value of the dielectric constant will be

$A$ capacitor stores $60 \mu C$ charge when connected across a battery. When the gap between the plates is filled with a dielectric,a charge of $120 \mu C$ flows through the battery. The dielectric constant of the material inserted is:

$A$ parallel plate capacitor is made of two circular plates separated by a distance $5 \ mm$ and with a dielectric of dielectric constant $2.2$ between them. When the electric field in the dielectric is $3 \times 10^4 \ Vm^{-1}$,the charge density of the positive plate will be close to:

Vedclass Test Series

Exam Paper Generator

Online Exam Module