Question

Which of the following statement is correct regarding induced electric field (symbols have their usual meanings)?

• A. Work done in moving a test charge in an induced electric field can be zero
• B. Induced electric field is non-conservative is nature
• C. Induced electric lines of force form closed loops
• D. Induced e.m.f. in the loop in $\epsilon =\oint \overrightarrow{E}.\overline{d\iota }=-\frac{d\varphi }{dt}$

Answer 1

Answer: (A), (B), (C), (D)

The correct options are
A Work done in moving a test charge in an induced electric field can be zero
B Induced electric field is non-conservative is nature
C Induced electric lines of force form closed loops
D Induced e.m.f. in the loop in $\epsilon =\oint \overrightarrow{E}.\overline{d\iota }=-\frac{d\varphi }{dt}$

The induced emf is perpendicular to the motion of particle hence, work done is zero

Hence, $A$ is the answer

Induced electric force is non conservative in nature, from the definiton

Hence, $B$ is the answer

Induced E.M.F are formed in closed circles

Hence, $C$ is the answer

From the definition, we have

$\int E.dl=-d\varphi /dt$

hence $D$ is also the answer