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Question

A current of 1 A is flowing along positive x-axis through a straight wire of length 0.5 m placed in a region of a magnetic field given by B=(2^i+4^j) T. The magnitude and the direction of the force experienced by the wire respectively are:

A
18N, along positive z-axis
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B
20N, along positive x-axis
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C
2N, along positive z-axis
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D
4N, along positive y-axis
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Solution

The correct option is C 2N, along positive z-axis
Current flowing in the wire I=1^i A
Length of the wire l=0.5 m
Magnetic field B=(2^i+4^j) T
Force experienced by the wire F=I(l×B)
F=(0.5)[1^i×(2^i+4^j)]=(0.5)(1^i×4^j)
F=(0.5)(4)^k=2^k N
Hence option C is correct.

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