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Consider a closed loop C in a magnetic field (figure). The flux passing through the loop is defined by choosing a surface whose edge coincides with the loop and using the formula \phi =B_{1}dA_{1},B_{2}dA_{2} …. Now, if we choose two different surfaces S_{1} and S_{2} having C as their edge, would we get the same answer for flux. Justify your answer.


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The magnetic flux is same as in S_{1} and S_{2} as magnetic field lines do not start anywhere in the space because of continuity. As the numbers of magnetic field lines passing through the circuit are same, therefore the flux would be same for both of them.

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