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A long straight wire in the horizontal plane carries a current of 50 A in north to south direction. Give the magnitude and direction of B at a point 2.5 m east of the wire.

3. A long straight wire in the horizontal plane carries a current of 50 A in north to south direction. Give the magnitude and direction of B at a point 2.5 m east of the wire.

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S Sayak

The magnitude of the magnetic field at a distance r from a long straight wire carrying current I is given by,

|B|=\frac{\mu _{0}I}{2\pi r}

In this case

|B|=\frac{4\pi \times 10^{-7}\times 50}{2\pi\times 2.5}            (current=50A, distance= 2.5m, permeability of free space = 4\pi \times10-7 TmA-1)

\\=4\times10^{-6}T

The current is going from the North to South direction in the horizontal plane and the point lies to the East of the wire. Applying Maxwell's right-hand thumb rule we can see that the direction of the magnetic field will be vertically upwards.

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