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KCET · Physics · Electrostatics

Under electrostatic condition of a charged conductor, which among the following statements is true?

  1. A The electric field on the surface of a charged conductor is \(\frac{\sigma}{2 \varepsilon_0}\), where \(\sigma\) is the surface charge density.
  2. B The electric potential inside a charged conductor is always zero.
  3. C Any excess charge resides on the surface of the conductor.
  4. D The net electric field is tangential to the surface of the conductor.
Verified Solution

Answer & Solution

Correct Answer

(C) Any excess charge resides on the surface of the conductor.

Step-by-step Solution

Detailed explanation

Since, there is no electric field inside the conductor, hence according to Coulomb's law, the mutual repulsion of like charges demands that the charges be as for apart as possible. Hence, on the surface of the conductor, the net electric charge resides entirely on its surface. Electric field on the surface of a charged conductor is \(\sigma / \varepsilon_0\).
Electric potential inside a charged charged conductor is constant (non-zero). The net electric field lines is perpendicular to the surface of the conductor.