Class 12 Exam > Class 12 Questions > The electric field at a distance 3R/2from the...
Start Learning for Free
The electric field at a distance 3R/2 from the centre of a charged conducting spherical shell of radius R is E. The electric field at a distance R/2 from the centre of the sphere is
- a)E/2
- b)zero
- c)E
- d)E/4
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The electric field at a distance 3R/2from the centre of a charged cond...
Electric field at a point inside a charged
conducting spherical shell is zero.
conducting spherical shell is zero.
Most Upvoted Answer
The electric field at a distance 3R/2from the centre of a charged cond...
Explanation:
We have to find the electric field at a distance R/2 from the centre of the charged conducting spherical shell. Let us consider a Gaussian surface of radius R/2 inside the shell. By Gauss's law, the electric flux through this surface is given by:
Φ = q/ε0
where q is the charge enclosed by the Gaussian surface and ε0 is the permittivity of free space.
We know that electric field inside a conductor is zero. Therefore, the charge enclosed by the Gaussian surface is zero because there is no charge inside the surface. Hence, the electric flux through the surface is also zero.
Now, let us consider another Gaussian surface of radius 3R/2 outside the shell. By Gauss's law, the electric flux through this surface is given by:
Φ = q/ε0
where q is the charge enclosed by the Gaussian surface and ε0 is the permittivity of free space.
The electric field at a distance 3R/2 from the centre of the shell is given as E. Therefore, the charge enclosed by the Gaussian surface is q = 4πε0(E)(3R/2)2 = 9ε0ER2.
Hence, the electric flux through the Gaussian surface is Φ = q/ε0 = 9ER2.
Now, we can use the principle of superposition to find the electric field at a distance R/2 from the centre of the shell. The electric field due to the charged spherical shell is given by:
E = Φ/4πε0R2
Substituting the values of Φ and R, we get:
E = 9E/4
Therefore, the electric field at a distance R/2 from the centre of the shell is zero.
We have to find the electric field at a distance R/2 from the centre of the charged conducting spherical shell. Let us consider a Gaussian surface of radius R/2 inside the shell. By Gauss's law, the electric flux through this surface is given by:
Φ = q/ε0
where q is the charge enclosed by the Gaussian surface and ε0 is the permittivity of free space.
We know that electric field inside a conductor is zero. Therefore, the charge enclosed by the Gaussian surface is zero because there is no charge inside the surface. Hence, the electric flux through the surface is also zero.
Now, let us consider another Gaussian surface of radius 3R/2 outside the shell. By Gauss's law, the electric flux through this surface is given by:
Φ = q/ε0
where q is the charge enclosed by the Gaussian surface and ε0 is the permittivity of free space.
The electric field at a distance 3R/2 from the centre of the shell is given as E. Therefore, the charge enclosed by the Gaussian surface is q = 4πε0(E)(3R/2)2 = 9ε0ER2.
Hence, the electric flux through the Gaussian surface is Φ = q/ε0 = 9ER2.
Now, we can use the principle of superposition to find the electric field at a distance R/2 from the centre of the shell. The electric field due to the charged spherical shell is given by:
E = Φ/4πε0R2
Substituting the values of Φ and R, we get:
E = 9E/4
Therefore, the electric field at a distance R/2 from the centre of the shell is zero.
Free Test
FREE
| Start Free Test |
Community Answer
The electric field at a distance 3R/2from the centre of a charged cond...
Electric field inside a charged conductor is always zero.
|
Explore Courses for Class 12 exam
|
|
Similar Class 12 Doubts
The electric field at a distance 3R/2from the centre of a charged conducting spherical shell of radius R is E. The electric field at a distance R/2from the centre of the sphere isa)E/2b)zeroc)Ed)E/4Correct answer is option 'B'. Can you explain this answer?
Question Description
The electric field at a distance 3R/2from the centre of a charged conducting spherical shell of radius R is E. The electric field at a distance R/2from the centre of the sphere isa)E/2b)zeroc)Ed)E/4Correct answer is option 'B'. Can you explain this answer? 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 The electric field at a distance 3R/2from the centre of a charged conducting spherical shell of radius R is E. The electric field at a distance R/2from the centre of the sphere isa)E/2b)zeroc)Ed)E/4Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The electric field at a distance 3R/2from the centre of a charged conducting spherical shell of radius R is E. The electric field at a distance R/2from the centre of the sphere isa)E/2b)zeroc)Ed)E/4Correct answer is option 'B'. Can you explain this answer?.
The electric field at a distance 3R/2from the centre of a charged conducting spherical shell of radius R is E. The electric field at a distance R/2from the centre of the sphere isa)E/2b)zeroc)Ed)E/4Correct answer is option 'B'. Can you explain this answer? 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 The electric field at a distance 3R/2from the centre of a charged conducting spherical shell of radius R is E. The electric field at a distance R/2from the centre of the sphere isa)E/2b)zeroc)Ed)E/4Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The electric field at a distance 3R/2from the centre of a charged conducting spherical shell of radius R is E. The electric field at a distance R/2from the centre of the sphere isa)E/2b)zeroc)Ed)E/4Correct answer is option 'B'. Can you explain this answer?.
Solutions for The electric field at a distance 3R/2from the centre of a charged conducting spherical shell of radius R is E. The electric field at a distance R/2from the centre of the sphere isa)E/2b)zeroc)Ed)E/4Correct answer is option 'B'. Can you explain this answer? 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 The electric field at a distance 3R/2from the centre of a charged conducting spherical shell of radius R is E. The electric field at a distance R/2from the centre of the sphere isa)E/2b)zeroc)Ed)E/4Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The electric field at a distance 3R/2from the centre of a charged conducting spherical shell of radius R is E. The electric field at a distance R/2from the centre of the sphere isa)E/2b)zeroc)Ed)E/4Correct answer is option 'B'. Can you explain this answer?, a detailed solution for The electric field at a distance 3R/2from the centre of a charged conducting spherical shell of radius R is E. The electric field at a distance R/2from the centre of the sphere isa)E/2b)zeroc)Ed)E/4Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of The electric field at a distance 3R/2from the centre of a charged conducting spherical shell of radius R is E. The electric field at a distance R/2from the centre of the sphere isa)E/2b)zeroc)Ed)E/4Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The electric field at a distance 3R/2from the centre of a charged conducting spherical shell of radius R is E. The electric field at a distance R/2from the centre of the sphere isa)E/2b)zeroc)Ed)E/4Correct answer is option 'B'. Can you explain this answer? 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.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup