Q96 / 180 · AIIMS 2015 · Physics

Assertion : An emf $\varepsilon$ is induced in a closed loop when magnetic flux is varied. The induced electric field $E$ is not a conservative field. Reason : The line integral $\oint \vec{E} \cdot \overrightarrow{d l}$ around the closed loop is non-zero.

  • Correct answer
    A
    If both assertion and reason are true and reason is the correct explanation of assertion.
  • B
    Ifboth assertion and reason are true but reason is not the correct explanation of assertion.
  • C
    If assertion is true but reason is false.
  • D
    If both assertion and reason are false.

Solution

We know $$ \varepsilon=\oint \vec{E} \cdot d \vec{l}=-\frac{d \phi_B}{d t} $$ As $\oint \vec{E} \cdot d \vec{l} \neq 0$, the induced electric field is non-conservative in nature.

Hence, the correct answer is option: 'A'.

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