Class 12 Exam  >  Class 12 Questions  >  A parallel plate condenser is connected with ... Start Learning for Free
A parallel plate condenser is connected with the terminals of a battery the distance between the plates is 6mm if a glass plate of dielectric constant 9 of 4.5 mm is introduced between them then the capacitor will become?
Most Upvoted Answer
A parallel plate condenser is connected with the terminals of a batter...
Introduction:
In this problem, we need to calculate the capacitance of a parallel plate condenser when a glass plate of dielectric constant 9 is introduced between the plates. The distance between the plates is given as 6mm and the thickness of the glass plate is given as 4.5mm.

Solution:
The capacitance of a parallel plate condenser is given by the formula:

C = εA/d

where ε is the permittivity of the medium between the plates, A is the area of the plates, and d is the distance between the plates.

Step 1: Calculate the initial capacitance of the parallel plate condenser.

Initial distance between plates, d = 6mm = 0.006m
Area of the plates, A = ?
As the area of the plates is not given, we assume it to be 1m2 for simplicity.

The permittivity of free space, ε0 = 8.85 x 10^-12 F/m

The permittivity of the medium between the plates, εr = 1 (as no medium is mentioned)

Using the formula,
C = εA/d = ε0 x A/d = 8.85 x 10^-12 x 1 / 0.006 = 1.475 x 10^-9 F

Hence, the initial capacitance of the parallel plate condenser is 1.475 x 10^-9 F.

Step 2: Calculate the capacitance of the parallel plate condenser when the glass plate is introduced.

Distance between plates, d' = d - t = 0.006 - 0.0045 = 0.0015m (where t is the thickness of the glass plate)
Area of the plates, A = 1m2
The permittivity of free space, ε0 = 8.85 x 10^-12 F/m
The permittivity of the medium between the plates, εr = 9 (as glass has a dielectric constant of 9)

Using the formula,
C' = εA/d' = ε0 x εr x A/d' = 8.85 x 10^-12 x 9 x 1 / 0.0015 = 5.29 x 10^-9 F

Hence, the capacitance of the parallel plate condenser when the glass plate is introduced is 5.29 x 10^-9 F.

Conclusion:
Therefore, the capacitance of the parallel plate condenser increases from 1.475 x 10^-9 F to 5.29 x 10^-9 F when a glass plate of dielectric constant 9 and thickness 4.5mm is introduced between the plates.
Community Answer
A parallel plate condenser is connected with the terminals of a batter...
Explore Courses for Class 12 exam
A parallel plate condenser is connected with the terminals of a battery the distance between the plates is 6mm if a glass plate of dielectric constant 9 of 4.5 mm is introduced between them then the capacitor will become?
Question Description
A parallel plate condenser is connected with the terminals of a battery the distance between the plates is 6mm if a glass plate of dielectric constant 9 of 4.5 mm is introduced between them then the capacitor will become? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A parallel plate condenser is connected with the terminals of a battery the distance between the plates is 6mm if a glass plate of dielectric constant 9 of 4.5 mm is introduced between them then the capacitor will become? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A parallel plate condenser is connected with the terminals of a battery the distance between the plates is 6mm if a glass plate of dielectric constant 9 of 4.5 mm is introduced between them then the capacitor will become?.
Solutions for A parallel plate condenser is connected with the terminals of a battery the distance between the plates is 6mm if a glass plate of dielectric constant 9 of 4.5 mm is introduced between them then the capacitor will become? in English & in Hindi are available as part of our courses for Class 12. Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
Here you can find the meaning of A parallel plate condenser is connected with the terminals of a battery the distance between the plates is 6mm if a glass plate of dielectric constant 9 of 4.5 mm is introduced between them then the capacitor will become? defined & explained in the simplest way possible. Besides giving the explanation of A parallel plate condenser is connected with the terminals of a battery the distance between the plates is 6mm if a glass plate of dielectric constant 9 of 4.5 mm is introduced between them then the capacitor will become?, a detailed solution for A parallel plate condenser is connected with the terminals of a battery the distance between the plates is 6mm if a glass plate of dielectric constant 9 of 4.5 mm is introduced between them then the capacitor will become? has been provided alongside types of A parallel plate condenser is connected with the terminals of a battery the distance between the plates is 6mm if a glass plate of dielectric constant 9 of 4.5 mm is introduced between them then the capacitor will become? theory, EduRev gives you an ample number of questions to practice A parallel plate condenser is connected with the terminals of a battery the distance between the plates is 6mm if a glass plate of dielectric constant 9 of 4.5 mm is introduced between them then the capacitor will become? tests, examples and also practice Class 12 tests.
Explore Courses for Class 12 exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev