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Question

Two large metal sheets carry surface current as shown in figure. The current through a strip of width dl is kdl where k is a constant. Find the magnetic field at the point P, Q & R
166483_bba03fb5f985486c882a7353719b9c51.png

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Solution

From symmetry, B at P and R should be same. Using Ampere's law,
L0Bdl=μ0i=μ0(kLkL)
B.L=0B=0 hence at P and R, B = 0
Now, let us apply Ampere's law between Q and R.
Here, L0B.dl=μ0kL
BL+0×L=μ0kL ( B is zero at R)
B=μ0k towards right

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