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Question

Two large metal sheets carry surface currents as shown in figure. The current through a strip of width dl is Kdl, where K is a constant. The magnetic field at point Q will be

A
μ0K
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B
μ0K2
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C
zero
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D
2μ0K
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Solution

The correct option is A μ0KConsidering a rectangular ampere loop passing through Q as shown below, Using Right-hand thumb rule the field due to the upper and lower metal sheet is towards right. ∮→B.→dl=μ0ien ⇒Bl=μ0(Kl) B=μ0K Why this Question? The magnetic field at Q is due to the superposition of magnetic fields due to the individual metal sheets. Bnet=B1+B2=μ0K2+μ0K2=μ0K

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