A long vertical wire carrying a current of 1A in the upward direction is placed

Question

A long vertical wire carrying a current of 1A in the upward direction is placed in a region where a horizontal magnetic field of

2.0 \times 10^{- 4} T

exists from south to north. Find the point where the resultant magnetic field is zero.

Options:

A . 1.0mm, to the west of the wire

B . 1.0 mm, to the East of the wire

C . 2.0 mmm to the North of the wire

D . 2.0 mm, to the South of the wire

Answer: Option A
:
A

B = B_{H} \frac{μ_{0} i}{2 π r} = B_{H} \frac{2 \times 10^{- 7} \times 1}{r} = 2.0 \times 10^{- 4}

r = 10^{- 3} m

west of the wire
= 1.0 mm west of the wire

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