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A square of side L meters lies in the xy...

A square of side L meters lies in the xy-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

A

`2B_0L^2Wb`

B

`3B_0L^2Wb`

C

`4B_0L^2Wb`

D

`sqrt29B_0L^2` Wb

Text Solution

Verified by Experts

The correct Answer is:
C
Area, `vecA=L^2 hatk`
`vecB=B_0 (2hati+3hatj+4hatk)`
`phi=vecB.vecA=B_0(2hati+3hatj+4hatk).L^2hatk`
`phi=4B_0L^2`Wb
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Knowledge Check

  • A square of side LM lies in the xy plane in a region, when the magnetic field is given by vecB=B_0(2 hat i+3 hat j+4 hatk) T where B_0 is constant. The magnitude of flux passing through the square is …..Wb.

    A
    `2B_0L^2`
    B
    `3B_0L^2`
    C
    `4B_0L^2`
    D
    `sqrt29B_0L^2`

  • A circular loop of radius R is placed in the uniform magnetic field. The value of magnetic field changes is given by equation B=B_0 e^(-t/tau) . Where B_0 and tau are constants. The emf induced in the coil is ____

    A
    `pi^2B_0 e^(-t/tau) xx 10^(-2)` V
    B
    `(piR^2B_0)/tau e^(-t/tau)`
    C
    `pi^2B_0 tau e^(-t/tau)`
    D
    None of these

  • A loop, made of straight edges has six corners at A(0,0,0), B(L,0,0) ,C(L,L,0), D(0,L,0), E(0,L,L) and F(0,0,L). A magnetic field vecB=B_0 (hati+hatk)T is present in the region. The flux passing through the loop ABCDEFA (in that order) is

    A
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    B
    `2B_0L^2 Wb`
    C
    `sqrt2B_0L^2Wb`
    D
    `4B_0L^2Wb`

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