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Q.

What will be the resultant magnetic field at origin due to four infinite length wires if each wire produces magnetic field B at origin?

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a

4B

b

2B

c

22B

d

Zero

answer is C.

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Detailed Solution

Direction of magnetic field (B1, B2, B3 and B4) at origin due to wires 1, 2, 3 and 4 are shown in the following figure. B1=B2=B3=B4=μ04π⋅2ix=B. So, net magnetic field at origin O Bnet =B1+B32+B2+B42=(2B)2+(2B)2=22B
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What will be the resultant magnetic field at origin due to four infinite length wires if each wire produces magnetic field B at origin?