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A square of side L meters lies in the x-...

A square of side L meters lies in the x-y plane in a region, where the magnetic field is give by `B = B_(0) (2 hati + 3 hat j + 4 hatk)`T, where `B_(0)` is constant. The magnitude of flux passing through the square is

Text Solution

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The correct Answer is:
c
Here, `vec(B)=B_(0)(2hati+3hatj+4hatk)T`
Aera of the squareb `'L^(2)hat(k)m^(2)`
`:.` Flux pssing through the squre,
`phi=vec(B)*vec(A)=B_(0)L^(2)(2hati+2hatj)*L^(2)hatk=4B_(0)Wb`
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Knowledge Check

  • 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]

    A
    `2B_(0)L^(2)Wb`
    B
    `3B_(0)L^(2)Wb`
    C
    `4B_(0)L^(2)Wb`
    D
    `sqrt(49)B_(0)L^(2)Wb`

  • A square of side x m lies in the x-y plane in a region, when the magntic 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`

  • Square of A meters in an X-Y plane is under magnetic field of B = (B_(0), 2hati+3hatj+4hatk)T . The magnitude of flux is given by? B_(0) = constant

    A
    `sqrt(29) B_(0) A^(2) ` Wb
    B
    `2 B_(0) A^(2) ` Wb
    C
    `4 B_(0) A^(2) ` Wb
    D
    `3 B_(0) A^(2) wb`