E = 0 inside any sphere: WRONG. It is zero only inside a conductor. Inside a uniformly charged insulating sphere, E = kQr/$R^{3}$ (non-zero and increasing with r).

Axial and equatorial fields of a dipole are equal: WRONG. E_axial = 2kp/$r^{3}$ is exactly twice E_equatorial = kp/$r^{3}$. The factor of 2 is among the most commonly missed facts in NEET dipole questions.

Inserting a dielectric always increases energy: WRONG. With battery disconnected, energy decreases to U/K. Energy is only increased (by factor K) when battery remains connected.

Series capacitors share the same voltage: WRONG. In series all capacitors carry the same charge Q, but voltages divide in inverse proportion to capacitance. Parallel capacitors share the same voltage.

The smaller capacitor in parallel stores more energy: WRONG. In parallel (same V), U = ½$CV^{2}$ so larger C stores more. In series (same Q), U = $Q^{2}$/2C so smaller C stores more.

Potential is zero wherever the electric field is zero: WRONG. V = 0 at the equatorial line of a dipole where E ≠ 0. V and E are related by E = −dV/dr, not by direct equality.

Work is done moving a charge inside a conductor: WRONG. Since E = 0 inside, F = qE = 0, so no work is done for any path inside a conductor.

Coulomb's law can be directly applied to extended charge distributions: WRONG. It applies strictly to point charges. For distributions, integration or Gauss's law is required.