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  • Figure shows three regions of magnetic field, each of area A, and in each region magnitude of magnetic field decreases at a constant rate a. If  <img alt="\vec{E}" src="https://learn.care

Figure shows three regions of magnetic field, each of area A, and in each region magnitude of magnetic field decreases at a constant rate a. If  \vec{E}is induced electric field then value of line integral \oint \vec{E}.d \vec{r} along the given loop is equal to

Option: 1

\alpha A


Option: 2

- \alpha A


Option: 3

3 \alpha A


Option: 4

-3 \alpha A


Answers (1)

best_answer

As we learned

 

Rate of change of magnetic Flux -

\varepsilon = \frac{-d\phi }{dt}
 

- wherein

d\phi\rightarrow \phi _{2}-\phi _{1}

\phi _{2}-\phi _{1}- change in flux

 

 Potential

\int \vec { E } . d \vec {r} = - \frac{d\phi }{dt } 

            and take the sign of flux according to right hand curl rule.

\int \vec { E } . d \vec {r} = -((\alpha A ) + ( \alpha A ) + ( - \alpha A )) = -\alpha A

Posted by

Ritika Jonwal

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