Question

Choose the wrong option from the following for the given statement. Statement: Electric field is conservative.

• A. curl to be identically zero.
• B. potential difference between any two points is zero.
• C. gradient of a scalar potential gives magnitude of electric field.
• D. work done in a closed path inside the field is zero.

Hint:

For a conservative electric field, the curl is zero, and the work done in a closed path is zero. However, the potential difference between two points is generally non-zero.

Answer 1

The Correct Option is B

Step 1: Electric Fields and Conservative Nature.
Conservative electric fields have non-zero potential differences between two points. Option (2) incorrectly states otherwise and is therefore incorrect.

Step 2: Summary.
Because the electric field is conservative, the work done around any closed loop is zero, and the curl of the electric field is zero.