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Question

The figure shows two long parallel current carrying wires separated by a distance 5 m. The magnetic field at a point P, situated midway between the two wires will be


A
μ04π
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B
μ0π
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C
μ02π
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D
4μ0π
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Solution

The correct option is C μ02π

Magnetic field at distance r from a long current carrying wire is given by the formula,

B=μ0i2πr

Now,

B(due to wire 1) at point P,

B1=μ0i12πr (into the plane)

i1=5 A, r1=2.5 m

B1=5μ02π(2.5)

Assuming that the two wires lies in the xy plane, so

B1=μ0π(^k)

Similarly, for wire 2, magnetic field at point P,

B2=2.5μ05π (out of the plane or ^k)

B2=μ02π (^k)

So the net magnetic field at point P is given by

BP=B1+B2

BP=μ0π(^k)+μ02π ^k

BP=μ02π(^k)

BP=μ02π

Therefore, option (c) is the correct answer.

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