Exams › JEE Advanced › Physics

A charged conducting sphere has an electrostatic potential of 100 V on its surface. Consider two statements: S1 - the electric field at every point inside the sphere is zero; S2 - the electrostatic potential at every point inside the sphere is 100 V. Which option correctly describes these statements and their relationship?

1. S1 is true but S2 is false.
2. Both S1 and S2 are false.
3. S1 is true, S2 is also true, and S1 is the cause of S2.
4. S1 is true, S2 is also true but the two statements are independent.

Correct answer: S1 is true, S2 is also true, and S1 is the cause of S2.

Solution

For a charged conductor in electrostatic equilibrium, the field inside is zero (S1 true). Because E = -dV/dr, zero field inside means the potential does not vary, so the interior is at the same potential as the surface, 100 V (S2 true). Thus the zero interior field (S1) is precisely the reason the interior potential is constant and equal to the surface value (S2), so S1 is the cause of S2.

Related JEE Advanced Physics questions

• A particle with charge -q and mass m revolves in a circular path of radius r around an infinitely long charged wire with linear charge density +λ. What is the time period of its motion?
• What is the value of the electrostatic potential at point H?
• The electric potential V varies with distance x from a fixed point as follows: V = 5 V for 0 <= x < 10 m, then V decreases linearly from 5 V at x = 10 m to -10 V at x = 20 m. The electric field at x = 13 m is:
• Two capacitors are connected in a circuit with two batteries and a switch S. The system is in steady state with S open. When S is closed, which of the following statements correctly describes the energy exchange?
• In a capacitor bridge circuit, four capacitors C1, C2, C3, and C4 are connected in a bridge configuration with an EMF source E. Capacitor C1 is in the top-left arm, C2 in the top-right arm, C3 in the bottom-left arm, and C4 in the bottom-right arm. Points P and Q are the mid-points (junctions). Find the potential difference V_P - V_Q.
• An isolated charged spherical soap bubble of radius r has the pressure inside equal to atmospheric pressure outside. The surface tension of the soap solution is T. If the total charge on the bubble can be written as N*pi*r*sqrt(2*T/epsilon0), find the integer value of N.

⚔️ Practice JEE Advanced Physics free + battle 1v1 →