(D) For a parallel plate capacitor,the initial potential difference $V$ is given by $V = E \times d$.Given $E = 3 \times 10^4\, V/m$ and $d = 0.05\, m

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

(D) For a parallel plate capacitor,the initial potential difference $V$ is given by $V = E \times d$.Given $E = 3 \times 10^4\, V/m$ and $d = 0.05\, m$,we have $V = 3 \times 10^4 \times 0.05 = 1500\, V = 1.5\, kV$.Since the capacitor is disconnected from the battery,the charge $q$ remains constant.The potential difference $V'$ after inserting a slab of thickness $t$ and dielectric constant $K$ is given by $V' = V \times \frac{(d - t) + (t/K)}{d}$.For a dielectric slab with $K = 2$ and $t = 0.01\, m$:$V' = 1.5 \times \frac{(0.05 - 0.01) + (0.01/2)}{0.05}$$V' = 1.5 \times \frac{0.04 + 0.005}{0.05}$$V' = 1.5 \times \frac{0.045}{0.05}$$V' = 1.5 \times 0.9 = 1.35\, kV$.

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

Difficult

The distance between the plates of a parallel plate capacitor is $0.05\, m$. An electric field of $3 \times 10^4\, V/m$ is established between the plates. The capacitor is disconnected from the battery,and an uncharged metal plate of thickness $0.01\, m$ is inserted. If a dielectric slab of dielectric constant $K = 2$ is inserted instead of the metal plate,what will be the potential difference in $kV$?

A
$1.89$
B
$2.15$
C
$1.20$
D
$1.35$

Explore More

Browse All

Question Bank

All Subjects

Class 12 Questions

Class 12

Physics Questions

Chapter

Electric Potential and Capacitance

Subtopic

Effect of Dielectric Inside Capacitor

$A$ parallel plate capacitor with a dielectric slab completely occupying the space between the plates is charged by a battery and then disconnected. The slab is pulled out with a constant speed. Which of the following curves represent qualitatively the variation of the capacitance $C$ of the system with time?

Medium

View Solution

$A$ parallel plate capacitor of area $A$,plate separation $d$ and capacitance $C$ is filled with three different dielectric materials having dielectric constants $k_1, k_2$ and $k_3$ as shown in the figure. If a single dielectric material is to be used to have the same capacitance $C$ in this capacitor,then its dielectric constant $k$ is given by:

DifficultIIT 2000

View Solution

$A$ capacitor is charged by using a battery which is then disconnected. $A$ dielectric slab is then inserted between the plates. What is the result?

Easy

View Solution

$A$ parallel plate capacitor has a capacitance of $2\ \mu F$ with a separation of $0.4\ cm$ between the plates. If the distance between the plates is halved and the space is filled with a dielectric material of constant $K = 2.8$,the final capacitance of the capacitor will be .....$\mu F$.

Difficult

View Solution

$A$ parallel plate capacitor has a plate area of $50 \ cm^2$ and a plate separation of $3 \ mm$. The space between the plates is filled with a dielectric medium of thickness $1 \ mm$ and a dielectric constant of $4$. Calculate the capacitance. ($\epsilon_0$ is the permittivity of free space)

MediumMHT CET 2025

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

$A$ capacitor is charged by using a battery which is then disconnected. $A$ dielectric slab is then inserted between the plates. What is the result?

$A$ parallel plate capacitor has a capacitance of $2\ \mu F$ with a separation of $0.4\ cm$ between the plates. If the distance between the plates is halved and the space is filled with a dielectric material of constant $K = 2.8$,the final capacitance of the capacitor will be .....$\mu F$.

$A$ parallel plate capacitor has a plate area of $50 \ cm^2$ and a plate separation of $3 \ mm$. The space between the plates is filled with a dielectric medium of thickness $1 \ mm$ and a dielectric constant of $4$. Calculate the capacitance. ($\epsilon_0$ is the permittivity of free space)

Vedclass Test Series

Exam Paper Generator

Online Exam Module