MEDIUM
12th CBSE
IMPORTANT
Earn 100

A thin conducting spherical shell of radius R has charge Q spread uniformly over its surface. With the help of Gauss's law, obtain an expression for an electric field at a point outside the shell. Draw a graph of electric field E(r) with distance r from the centre of the shell for 0≤r≤∞.

Important Questions on Electric Charges and Field

MEDIUM
12th CBSE
IMPORTANT
New Simplified Physics (Vol 1) For Class 12>Chapter 1 - Electric Charges and Field>Text Based Exercises>Q 37
A thin straight infinitely long conducting wire having charge density λ is enclosed by a cylindrical surface of radius r and length l, its axis coinciding with the length of wire. Obtain the formula for the electric flux through the surface of the cylinder.
MEDIUM
12th CBSE
IMPORTANT
New Simplified Physics (Vol 1) For Class 12>Chapter 1 - Electric Charges and Field>Text Based Exercises>Q 38
State Gauss's theorem in electrostatics. Using this theorem, derive an expression for the electric field intensity due to an infinitely long, straight wire of linear charge density λCm−1.
EASY
12th CBSE
IMPORTANT
New Simplified Physics (Vol 1) For Class 12>Chapter 1 - Electric Charges and Field>Text Based Exercises>Q 39
A charge +Q, is uniformly distributed within a sphere of radius R. Find the electric field, due to this charge distribution, at a point distant r from the centre of the sphere where 0<r<R.
EASY
12th CBSE
IMPORTANT
New Simplified Physics (Vol 1) For Class 12>Chapter 1 - Electric Charges and Field>Text Based Exercises>Q 39
A charge +Q, is uniformly distributed within a sphere of radius R. Find the electric field, due to this charge distribution, at a point distant r from the centre of the sphere where r>R.
MEDIUM
12th CBSE
IMPORTANT
New Simplified Physics (Vol 1) For Class 12>Chapter 1 - Electric Charges and Field>Text Based Exercises>Q 1
State the principle of superposition and use it to obtain the expression for the total force exerted on a point charge due to an assembly of (N-1) discrete point charges.
EASY
12th CBSE
IMPORTANT
New Simplified Physics (Vol 1) For Class 12>Chapter 1 - Electric Charges and Field>Text Based Exercises>Q 2
Obtain an expression for the electric field at any point due to a continuous charge distribution. Hence extend it for the electric field of a general source charge distribution.
EASY
12th CBSE
IMPORTANT
New Simplified Physics (Vol 1) For Class 12>Chapter 1 - Electric Charges and Field>Text Based Exercises>Q 3
Consider a system of n charges q1, q2,...,qn with position vectors r→1, r→2, r→3,…,r→n relative to some origin 'O'. Deduce the expression for the net electric field E→ at a point P with position vector rp→, due to this system of charges.
EASY
12th CBSE
IMPORTANT
New Simplified Physics (Vol 1) For Class 12>Chapter 1 - Electric Charges and Field>Text Based Exercises>Q 3
Find the resultant electric field due to an electric dipole of dipole moment 2aq, (2a being the separation between the charges ±q) at a point distant 'x' on its equator.