Answer to Question #134248 in Classical Mechanics for Arun

Question

The electric field in an electrostatic situation is denoted by the function E and the potential by the function V in a certain volume. Inside this volume,

(a) If E is given, V can be uniquely written.

(b) If V is given, E can be uniquely written.

(c) If E is same everywhere in the volume, V cannot change in this volume.

(d) If V is same everywhere in the volume, E cannot change in this volume.

Answer 1

The correct answer:

(b) If V is given, E can be uniquely written

$${\bf E}=-\nabla V$$