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NEET
Exam
NEET
Subject
Physics
Chapter
Electromagnetic Induction

NEET · Physics · Electromagnetic Induction

Given below are two statements: one is labelled as Assertion (A)...

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : The electric field created by time-varying magnetic field is non-conservative. Reason (R) : The line integral of induced electric field in a closed loop is always equal to zero. In the light of the above statements, choose the most appropriate answer from the options given below:

Options

  1. ABoth (A) and (R) are true and (R) is the correct explanation of (A).
  2. BBoth (A) and (R) are true and (R) is NOT the correct explanation of (A).
  3. C(A) is true but (R) is false.
  4. D(A) is false but (R) is true.

Correct answer

C. (A) is true but (R) is false.

Step-by-step solution

- Assertion (A) states that the electric field created by a time-varying magnetic field is non-conservative. For a conservative electric field, the line integral around a closed loop is zero (∮E⃗⋅dI⃗=0\oint \vec{E} \cdot d \vec{I} = 0). However, according to Faraday's Law of Induction, ∮E⃗⋅dI⃗=−dΦBdt\oint \vec{E} \cdot d \vec{I} = -\frac{d \Phi_B}{dt}, which is generally non-zero when there is a changing magnetic flux. This non-zero line integral signifies that the induced electric field is non-conservative. So, Assertion (A) is true. - Reason (R) states that the line integral of induced electric field in a closed loop is always equal to zero. As explained above, according to Faraday's Law, the line integral of the induced electric field around a closed loop is not always zero; it is equal to the negative rate of change of magnetic flux. Therefore, Reason (R) is false. Since Assertion (A) is true and Reason (R) is false, the most appropriate answer is (3).
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