JEE Exam  >  JEE Questions  >  The capacitance of a parallel plate capacitor... Start Learning for Free
The capacitance of a parallel plate capacitor becomes 4/3 times its original value if a dielectric slab of thickness t = d/2 is inserted between the plates (where d is separation between the plates). The dielectric constant of the slab is
  • a)
    8
  • b)
    6
  • c)
    4
  • d)
    2
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The capacitance of a parallel plate capacitor becomes 4/3 times its or...
Given:
The capacitance of a parallel plate capacitor becomes 4/3 times its original value.
Thickness of the dielectric slab, t = d/2 (where d is the separation between the plates).

To find:
The dielectric constant of the slab.

Solution:

1. Capacitance of a Parallel Plate Capacitor:
The capacitance of a parallel plate capacitor is given by the formula:

C = ε₀A/d,

where:
C is the capacitance,
ε₀ is the permittivity of free space (8.85 x 10^-12 F/m),
A is the area of each plate, and
d is the separation between the plates.

2. Effect of Dielectric on Capacitance:
When a dielectric material is inserted between the plates of a capacitor, it increases the capacitance by a factor of the dielectric constant (K) of the material.

The new capacitance (C') is given by:

C' = Kε₀A/d.

3. Calculation:
Let's assume the original capacitance is C₀.

Given that the capacitance becomes 4/3 times its original value:

C' = (4/3)C₀.

Substituting the expressions for C and C' in terms of ε₀, A, d, and K:

Kε₀A/d = (4/3)ε₀A/d.

Cancelling ε₀, A, and d on both sides:

K = (4/3).

Therefore, the dielectric constant of the slab is 4, which corresponds to option (d).

Final Answer:
The dielectric constant of the slab is 4 (option d).
Explore Courses for JEE exam

Similar JEE Doubts

The capacitance of a parallel plate capacitor becomes 4/3 times its original value if a dielectric slab of thickness t = d/2 is inserted between the plates (where d is separation between the plates). The dielectric constant of the slab isa)8b)6c)4d)2Correct answer is option 'D'. Can you explain this answer?
Question Description
The capacitance of a parallel plate capacitor becomes 4/3 times its original value if a dielectric slab of thickness t = d/2 is inserted between the plates (where d is separation between the plates). The dielectric constant of the slab isa)8b)6c)4d)2Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The capacitance of a parallel plate capacitor becomes 4/3 times its original value if a dielectric slab of thickness t = d/2 is inserted between the plates (where d is separation between the plates). The dielectric constant of the slab isa)8b)6c)4d)2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The capacitance of a parallel plate capacitor becomes 4/3 times its original value if a dielectric slab of thickness t = d/2 is inserted between the plates (where d is separation between the plates). The dielectric constant of the slab isa)8b)6c)4d)2Correct answer is option 'D'. Can you explain this answer?.
Solutions for The capacitance of a parallel plate capacitor becomes 4/3 times its original value if a dielectric slab of thickness t = d/2 is inserted between the plates (where d is separation between the plates). The dielectric constant of the slab isa)8b)6c)4d)2Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of The capacitance of a parallel plate capacitor becomes 4/3 times its original value if a dielectric slab of thickness t = d/2 is inserted between the plates (where d is separation between the plates). The dielectric constant of the slab isa)8b)6c)4d)2Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The capacitance of a parallel plate capacitor becomes 4/3 times its original value if a dielectric slab of thickness t = d/2 is inserted between the plates (where d is separation between the plates). The dielectric constant of the slab isa)8b)6c)4d)2Correct answer is option 'D'. Can you explain this answer?, a detailed solution for The capacitance of a parallel plate capacitor becomes 4/3 times its original value if a dielectric slab of thickness t = d/2 is inserted between the plates (where d is separation between the plates). The dielectric constant of the slab isa)8b)6c)4d)2Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of The capacitance of a parallel plate capacitor becomes 4/3 times its original value if a dielectric slab of thickness t = d/2 is inserted between the plates (where d is separation between the plates). The dielectric constant of the slab isa)8b)6c)4d)2Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The capacitance of a parallel plate capacitor becomes 4/3 times its original value if a dielectric slab of thickness t = d/2 is inserted between the plates (where d is separation between the plates). The dielectric constant of the slab isa)8b)6c)4d)2Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
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