Discussion
Consider the following statements about potential.
1. It is a scalar 2. Its gradient gives the field with a minus sign 3. A zero field implies a zero potential
Answer: A
Correct answer: 1 and 2 only are correct
Statements 1 and 2 are correct: potential is a scalar, which is what makes it easier to compute than the field, and \( \mathbf{E} = -\nabla V \). Statement 3 confuses a quantity with its gradient - a zero field means the potential is constant, and the constant may be anything at all.
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