A spherical conducting shell of inner radius r_{1} and outer radius r_{2} has a charge Q.

(a) A charge q is placed at the centre of the shell. Find out the surface charge density on the inner and outer surfaces of the shell.
(b) Is the electric field inside a cavity (with no charge) zero; independent of the fact whether the shell is spherical or not? Explain.

 

 

 
 
 
 
 

Answers (1)
S safeer

(a) -q charge will be induced at the inner surface of the shell

Therefore the surface charge density on the inner shell is given as \sigma _{1} :

So, \sigma _{1} = -\frac{q}{4\pi r{_{1}}^{2}}

The surface charge density on the outer shell is,

\sigma _{2} = \frac{Q+q}{4\pi r{_{2}}^{2}}

 

(b) Let us consider a Gaussian surface inside the shell, and net flux is zero since q_{net}=0 then,

Therefore according to Gauss's law electric field is zero and it is independent of the fact whether the shell is spherical or not.

Preparation Products

NEET Foundation 2022

NEET Foundation 2022.

₹ 14999/-
Buy Now
Biology Foundation for Class 10

Biology Foundation for Class 10.

₹ 999/- ₹ 499/-
Buy Now
Knockout JEE Main April 2021 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 14000/- ₹ 4999/-
Buy Now
Knockout NEET May 2021 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 14000/- ₹ 4999/-
Buy Now
Knockout JEE Main May 2021

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 22999/- ₹ 9999/-
Buy Now
Boost your Preparation for JEE Main with our Foundation Course
 
Exams
Articles
Questions