Question

1. "the electric field in the center of a metal shell is zero, therefore the potential there is also zero". explain why this asseverations incorrect.

2. ''the current takes the path of least resistance''. explain the errors in this statement.

Answer 1

Ans 2

Current takes all paths available — in inverse proportion to the impedance of the paths. The magnitude of the current flowing in a path depends on the path's voltage and impedance. The lower the impedance (assuming voltage remains constant), the greater the current. Conversely, the higher the impedance (assuming voltage remains constant), the lower the current.

Ans 1

When a conductor is at equilibrium, the electric field inside the sphere is zero.

Since the electric field is equal to the rate of change of potential , this implies that the voltage inside a conductor at equilibrium is constrained to be constant at the value it reaches at the surface of the conductor.