The value of current is iin the infinite wire forming a shape as shown in the figure. What is the magnetic field at point O at distance d from straight wire segment AB?
μ0i4πd(cosα+cosβ)
μ0i4π×2id
μ0i4πd(sinα+sinβ)
μ0i4π×id
A
μ0i4πd(cosα+cosβ)
B
μ0i4π×2id
C
μ0i4πd(sinα+sinβ)
D
μ0i4π×id
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Solution
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The correct option is Cμ0i4πd(sinα+sinβ) The field of the wires AC and BD will be zero at point O as it lies on the same line as that of the wire. The part AB is a conductor with finite length and the magnetic field due to it is given by the formula:
B=μ0i4πd(sinα+sinβ)
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