Consider a closed loop C in a magnetic field (Fig 6.7). The flux passing through the loop is defined by choosing a surface whose edge coincides with the loop and using the formula Now if we chose two different surfaces S₁ and S₂ having C as their edge, would we get the same answer for flux. Justify your answer.

Question

Consider a closed loop C in a magnetic field (Fig 6.7). The flux passing through the loop is defined by choosing a surface whose edge coincides with the loop and using the formula

Now if we chose two different surfaces S₁ and S₂ having C as their edge, would we get the same answer for flux. Justify your answer.

Philoid · Accepted Answer

As we know this formula

represent the magnetic field lines in an area A to magnetic flux B. Now the number of magnetic field lines passing through the surface can be considered as the magnetic flux lines.

Also we know that magnetic field lines B always follow continuity means lines can’t be break so B can’t end or start in space.

Hence we can say that the number of lines passing through S₁ must be the same as the number of lines passing through S₂ surface.

Therefore, flux in both the cases i.e. S₁ & S₂ will be same.