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A current of 1A is flowing along positiv...

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

A

`sqrt(18)N` , along positive z-axis

B

`sqrt(20)`N , along positive x-axis

C

2N , along positive z-axis

D

4N , along positive y-axis

Text Solution

Verified by Experts

The correct Answer is:
C
`dvecl = 0.5 hati`
`vecB = (2hati + 4hatj) I`
`vecF = I (dvecl xx vecB) = 1 [0.5 hati xx (2hati xx 4 hatj)] = 0 + 2hatk`
F = 2 N along +ve z-axis
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