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: Using the conservative nature of electric fields.
For a conservative electric field, the potential difference between two points is not zero, unlike what is suggested in option (2). This is the incorrect statement.

Step 2: Conclusion.
Since the electric field is conservative, the work done in a closed loop is zero, and the curl of the electric field is also zero.