1.

A square of side L metre lies in the x - y plane in a region, where the magnetic field is given by vecB = B_(0) (2hati +3hatj +4hatk) T, where B_(0), is constant. The magnitude of flux passing through the square is [Exemplar Problem]

Answer»

`2B_(0)L^(2)Wb`
`3B_(0)L^(2)Wb`
`4B_(0)L^(2)Wb`
`SQRT(49)B_(0)L^(2)Wb`

Solution :`vecB=B_(0) [2hati+3hatj4hatk] T` and area of sqaure `A=L^(2).` As area is in x-y plane, hence `vecA=L^(2) hatk m^(2)`.
Magnetic flux `phi_(B)=vecB. vecA=B_(0) [2hati+3hatj+4hatk]. L^(2) hatk=4B_(0) L Wb`


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