(A) In a parallel plate capacitor with dielectric slabs of the same thickness arranged in series,the surface charge density $\sigma$ on the plates is

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

$E_3 < E_2 < E_1 \text{ and } \Delta V_3 < \Delta V_2 < \Delta V_1$

(A) In a parallel plate capacitor with dielectric slabs of the same thickness arranged in series,the surface charge density $\sigma$ on the plates is the same for all dielectrics. The electric field in a dielectric is given by $E = \frac{\sigma}{\epsilon_0 k}$.Since $\sigma$ and $\epsilon_0$ are constant,$E \propto \frac{1}{k}$.Given $k_3 > k_2 > k_1$,it follows that $E_3 The potential drop across each dielectric is $\Delta V = E \cdot t$,where $t$ is the thickness of each slab.Since $t$ is the same for all,$\Delta V \propto E$.Therefore,$\Delta V_3 Thus,the correct statement is $E_3 < E_2 < E_1$ and $\Delta V_3 < \Delta V_2 < \Delta V_1$.

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

Difficult

$A$ parallel plate capacitor is filled with $3$ dielectric materials of the same thickness,as shown in the sketch. The dielectric constants are such that $k_3 > k_2 > k_1$. Let the magnitudes of the electric field in and potential drops across each dielectric be $E_3, E_2, E_1$ and $\Delta V_3, \Delta V_2, \Delta V_1$,respectively. Which one of the following statements is true?

A
$E_3 < E_2 < E_1 \text{ and } \Delta V_3 < \Delta V_2 < \Delta V_1$
B
$E_3 > E_2 > E_1 \text{ and } \Delta V_3 > \Delta V_2 > \Delta V_1$
C
$E_3 < E_2 < E_1 \text{ and } \Delta V_3 > \Delta V_2 > \Delta V_1$
D
$E_3 > E_2 > E_1 \text{ and } \Delta V_3 < \Delta V_2 < \Delta V_1$

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

The capacity of an air condenser is $2.0 \, \mu F$. If a medium is placed between its plates,the capacity becomes $12 \, \mu F$. The dielectric constant of the medium will be:

Easy

View Solution

$A$ parallel plate capacitor is made of two square parallel plates of area $A$,and separated by a distance $d << \sqrt{A}$. The capacitor is connected to a battery with potential $V$ and allowed to fully charge. The battery is then disconnected. $A$ square metal conducting slab also with area $A$ but thickness $d/2$ is then fully inserted between the plates,so that it is always parallel to the plates. How much work has been done on the metal slab by an external agent while it is being inserted?

Difficult

View Solution

Two identical condensers $M$ and $N$ are connected in series with a battery. The space between the plates of $M$ is completely filled with a dielectric medium of dielectric constant $8$,and a copper plate of thickness $d/2$ is introduced between the plates of $N$ ($d$ is the distance between the plates). Then the potential differences across $M$ and $N$ are,respectively,in the ratio:

DifficultAP EAMCET 2011

View Solution

$A$ parallel plate capacitor is made of two plates of length $l$,width $w$ and separated by distance $d$. $A$ dielectric slab (dielectric constant $K$) that fits exactly between the plates is held near the edge of the plates. It is pulled into the capacitor by a force $F = -\frac{\partial U}{\partial x}$ where $U$ is the energy of the capacitor when the dielectric is inside the capacitor up to distance $x$ (See figure). If the charge on the capacitor is $Q$,then the force on the dielectric when it is near the edge is

DifficultJEE MAIN 2014

View Solution

$A$ capacitor of capacitance $15 \, nF$ having a dielectric slab of $\varepsilon_{r} = 2.5$,dielectric strength $30 \, MV/m$,and potential difference $V = 30 \, V$. The area of the plate is ....... $\times 10^{-4} \, m^{2}$.

MediumAIIMS 2019

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

The capacity of an air condenser is $2.0 \, \mu F$. If a medium is placed between its plates,the capacity becomes $12 \, \mu F$. The dielectric constant of the medium will be:

$A$ capacitor of capacitance $15 \, nF$ having a dielectric slab of $\varepsilon_{r} = 2.5$,dielectric strength $30 \, MV/m$,and potential difference $V = 30 \, V$. The area of the plate is ....... $\times 10^{-4} \, m^{2}$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module