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Question

Consider a 10 cm long piece of a wire which carries a current of 10 A. Find the magnitude of the magnetic field due to the piece at a point which makes an equilateral triangle with the ends of the piece.

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Solution

I=10A,a=10cm=0.1m
r=OP=32×0.1m
B=μ0I4πr(sinϕ1+sinϕ2)
=107×10×132×0.1=2×1051.732=1.154×105T=11.54μT

1554216_1081771_ans_0f9e604914eb4509bb5ec7551a548f87.JPG

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