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Question

The wire ABC shown in figure forms an equilateral triangle. Find the magnetic field B at the centre O of the triangle assuming the wire to be uniform.
1086877_23acf87bdc32477e8c39262588780d55.png

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Solution

For AB B is along B=μ0i4πr(sin60+sin60)
For AC B B=μ0i4πr(sin60+sin60)
For BD B B=μ0i4πr(sin60)
For DC B B=μ0i4πr(sin60)
Net B=0

1554112_1086877_ans_2b564f6efc2844539687f6f624a28ac8.JPG

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