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A square of side x m lies in the x-y pl...

A square of side x m lies in the x-y plane in a region, when the magnetic field is given by `vecB=B_(0)(3hati+4hatj+5hatk)` T, where `B_(0)` is constant. The magnitude of flux passing through the square is

A

`5B_(0)x^(2)Wb`

B

`3B_(0)x^(3)Wb`

C

`2B_(0)x^(2)Wb`

D

`B_(0)x^(2)Wb`

Text Solution

Verified by Experts

The correct Answer is:
A
Here, `vecA=x^(2)hatkm^(2)and vecB=B_(0)(3hati+4hatj+5hatk)T`
AS `phi=vecB.vecA=B_(0)(3hati+4hatj+5hatk).x^(2)hatk`
`:.phi=5B_(0)x^(2)Wb`
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