Physics

Electrostatic Potential and Capacitance

Parallel plate capacitors

A parallel-plate capacitor with plate area A has separation d

Question

Easy

Solving time: 1 mins

A parallel-plate capacitor with plate area A has separation d between the plates. Two dielectric slabs of dielectric constant $K_{1}$ and $K_{2}$ of same area A / 2 and thickness d / 2 are inserted in the space between the plates. The capacitance of the capacitor will be given by :

Name: Video answer for A parallel-plate capacitor with plate area A has separation d between the plates. Two dielectric slabs of dielectric constant K1 and K2 of same area A / 2 and thickness d / 2 are inserted in the space between the plates. The capacitance of the capacitor will be given by :
Uploaded: 2022-09-28T15:52:32.000Z
Duration: 1 min
Description: A parallel-plate capacitor with plate area A has separation d between the plates. Two dielectric slabs of dielectric constant K1 and K2 of same area A / 2 and thickness d / 2 are inserted in the space between the plates. The capacitance of the capacitor will be given by :

\frac{ε _{0} A}{d} (\frac{1}{2} + \frac{2 ( K _{1} + K _{2} )}{K _{1} K _{2}})

\frac{ε _{0} A}{d} (\frac{1}{2} + \frac{K _{1} + K _{2}}{K _{1} K _{2}})

\frac{ε _{0} A}{d} (\frac{1}{2} + \frac{K _{1} K _{2}}{K _{1} + K _{2}})

\frac{ε _{0} A}{d} (\frac{1}{2} + \frac{K _{1} K _{2}}{2 ( K _{1} + K _{2} )})

Views: 5,947 students

Updated on: Sep 28, 2022

Exam:

JEE Mains 2021 Aug 26 Shift 2

Text solutionVerified

C_{e q} = C_{1} + \frac{C _{2} C _{3}}{C _{2} + C _{3}} C_{e q} = \frac{A ε _{0}}{2 d} + \frac{K _{1} A ε _{0}}{\frac{d}{K _{1} A ε _{0}} \times \frac{K _{2} A ε _{0}}{d} + \frac{K _{2} A ε _{0}}{d}} C_{e q} = \frac{A ε _{0}}{2 d} + \frac{A ε _{0}}{d} (\frac{K _{1} K _{2}}{K _{1} + K _{2}}) = \frac{A ε _{0}}{d} (\frac{1}{2} + \frac{K _{1} K _{2}}{K _{1} + K _{2}})

Was this solution helpful?

Report

Video solutions (2)

Learn from their 1-to-1 discussion with Filo tutors.

1 mins

Uploaded on: 9/28/2022

Ask your question, on a video call with tutor

Connect instantly with this tutor

Connect now

Taught by

Satendra Sharma

Total classes on Filo by this tutor - 4,715

Teaches : Physics, Mathematics

Connect instantly with this tutor

Connect now

Notes from this class (1 pages)

Download

Was this solution helpful?

145

Report

16 mins

Uploaded on: 9/1/2022

Ask your question, on a video call with tutor

Connect instantly with this tutor

Connect now

Taught by

Satyendra Kumar

Total classes on Filo by this tutor - 993

Teaches : Physics, Organic Chemistry, Inorganic Chemistry

Connect instantly with this tutor

Connect now

Was this solution helpful?

148

Report

Found 5 tutors discussing this question

Luna Discussed

A parallel-plate capacitor with plate area A has separation d between the plates. Two dielectric slabs of dielectric constant

K_{1}

and

K_{2}

of same area A / 2 and thickness d / 2 are inserted in the space between the plates. The capacitance of the capacitor will be given by :

11 mins ago

Discuss this question LIVE

11 mins ago

One destination for complete JEE/NEET preparation

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our Physics tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	A parallel-plate capacitor with plate area A has separation d between the plates. Two dielectric slabs of dielectric constant $K_{1}$ and $K_{2}$ of same area A / 2 and thickness d / 2 are inserted in the space between the plates. The capacitance of the capacitor will be given by :
Updated On	Sep 28, 2022
Topic	Electrostatic Potential and Capacitance
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 2
Upvotes	383
Avg. Video Duration	8 min

A parallel-plate capacitor with plate area A has separation d between the plates. Two dielectric slabs of dielectric constant $K_{1}$ and $K_{2}$ of same area A / 2 and thickness d / 2 are inserted in the space between the plates. The capacitance of the capacitor will be given by :

Text solutionVerified

Video solutions (2)

Questions from JEE Mains 2021 - PYQs

Practice questions from Electrostatic Potential and Capacitance in the same exam

Practice more questions from Electrostatic Potential and Capacitance

Practice questions on similar concepts asked by Filo students

A parallel-plate capacitor with plate area A has separation d between the plates. Two dielectric slabs of dielectric constant K1​ and K2​ of same area A / 2 and thickness d / 2 are inserted in the space between the plates. The capacitance of the capacitor will be given by :

Text solutionVerified

Video solutions (2)

Questions from JEE Mains 2021 - PYQs

Practice questions from Electrostatic Potential and Capacitance in the same exam

Practice more questions from Electrostatic Potential and Capacitance

Practice questions on similar concepts asked by Filo students

Related books for questions on Electrostatic Potential and Capacitance

Previous year question papers

A parallel-plate capacitor with plate area A has separation d between the plates. Two dielectric slabs of dielectric constant $K_{1}$ and $K_{2}$ of same area A / 2 and thickness d / 2 are inserted in the space between the plates. The capacitance of the capacitor will be given by :