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Statement-1: For a charged particle moving from point P to point Q, the net work done on it by an induced electric field is independent of the path taken from P to Q. Statement-2: The net work done by a conservative force on an object moving around a closed loop is zero. Choose the correct option.
- Statement-1 is false, Statement-2 is true.
- Statement-1 is true, Statement-2 is true, and Statement-2 is the correct explanation of Statement-1.
- Statement-1 is true, Statement-2 is true, but Statement-2 is NOT the correct explanation of Statement-1.
- Statement-1 is true, Statement-2 is false.
Correct answer: Statement-1 is false, Statement-2 is true.
Solution
The induced electric field produced by a changing magnetic flux is non-conservative; its line integral around a closed loop equals -d(phi)/dt, which is generally nonzero. Therefore the work done by it between P and Q DOES depend on the path, making Statement-1 false. Statement-2 is a true general statement about conservative forces, but it does not apply to the induced field. So Statement-1 is false and Statement-2 is true.
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