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A conducting square frame of side 'a' an...

A conducting square frame of side 'a' and a long straight wire carrying current I are located in the same plane as shown in the figure. The frame moves to the right with a constant velocity 'V'. The emf induced in the frame will be proportional to :

A

`1/(2x-a)^2`

B

`1/(2x+a)^2`

C

`1/((2x-a)(2x+a))`

D

`1/x^2`

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The field due to a long straight wire carrying a current I is proportional to …..

a. Obtain an expression for the mutual inductance between a long straight wire and a square loop of side a as shown in the figure. b. Now assume that the straight wire carries a current of 50 A and the loop is moved to the right with a constant velocity, v=10m//s . Calculate the induced emf in the loop at the instant when x=0.2m . Take a=0.1m and assume that the loop has a large resistance.

Knowledge Check

  • A square loop of side a is placed in such a way that its plane is the same as that of a very long straight wire carrying a current of I. The centre O of the loop is at a distance x from the wire. A velocity is given to the loop as shown in the fiġure. If x gtgt a , the magnitude of the emf induced in the loop is proportional to

    A
    x
    B
    `(1)/(x^(2))`
    C
    `x^(2)`
    D
    `(1)/(x)`

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