Shown in the figure is a conductor carrying a current i. The magnitude of magnetic field at the origin is.
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Total magnetic field at O is
B→0=B→1+B→3=μ04πIr(−iˆ)+μ04πIr(π2)(−kˆ)+0(∵B3=0)
=−μ04πIr[iˆ+πkˆ2]=−μ0I4r[iˆπ+kˆ2]
Explanation:
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