CHALLENGING ELECTROSTATICS QUESTIONS NEET JEE

1. A non-conducting solid sphere of radius R has a uniform charge density ρ. Calculate the electric potential at a point P located at a distance d from the center of the sphere, outside the sphere.

2. Two point charges, +q and -q, are placed a distance d apart. Find the electric field at a point P along the perpendicular bisector of the line joining the charges.

3. Three point charges q1, q2, and q3 are placed at the corners of an equilateral triangle of side length a. Find the electric field and potential at the center of the triangle.

4. Three point charges +Q, +2Q, and -3Q are placed at the vertices of an equilateral triangle. What is the net electric field at the centroid of the triangle?

a) Zero

b) Non-zero but not determinable

c) Parallel to one of the sides of the triangle

d) Perpendicular to one of the sides of the triangle

5. A spherical shell of radius R carries a uniformly distributed positive charge Q. What is the electric field inside the shell?

a) Zero

b) Q/(4πε₀R²)

c) Q/(4πε₀R)

d) Q/(ε₀R³)

6.  Two identical point charges, each of magnitude Q, are fixed at a distance d apart. At what point(s) on the line joining the charges is the electric potential zero?

a) At the midpoint between the charges

b) At a point between the midpoint and either charge

c) At infinity

d) Electric potential is never zero on the line joining the charges

7. A conducting sphere has a charge Q on its surface. If an identical conducting sphere is brought in contact with the first sphere and then separated, what happens to the charges on the two spheres?

a) Both spheres have charge Q/2

b) Both spheres have charge Q

c) One sphere has charge Q and the other has no charge

d) The charge distribution cannot be determined

8. Two parallel plates are placed in a vacuum, and a potential difference V is applied across them. The separation between the plates is d. What is the magnitude of the electric field between the plates?

a) V/d

b) V/ε₀d

c) Vε₀/d

d) Vε₀