Question

If Laplace equation satisfies, then which of the following statements will be true?

(a) Potential will be zero

(b) Current will be infinite

(c) Resistance will be infinite

(d) Voltage will be same

This question was posed to me in semester exam.

I would like to ask this question from Poisson and Laplace Equation in division Electrostatic Boundary Value Problem of Electromagnetic Theory

Answer 1

Correct answer is (b) Current will be infinite

For explanation I would say: Laplace equation satisfying implies the potential is not necessarily zero due to subsequent gradient and divergence operations following. Finally, if potential is assumed to be zero, then resistance is zero and current will be infinite.