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A rod AB of length L is placed in a cyli...

A rod AB of length L is placed in a cylindrical region time varying magnetic field as shown in figure-5.360 , with the rate of increasing magnetic induction C T/s. find the potential difference across ends of rod due to induced electric field in the region.

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Knowledge Check

  • Magnetic field in cylindrical region of radius R in inward direction is as shown in figure.

    A
    an electron will expereince no force kept is `(2R,0,0)` if magnetic field increases with time
    B
    in the above situation, electron will experience the force in negative y-axis
    C
    if a proton is kept at `(0, R/2,0)` and magnetic field is decreasing then it will experience the force in positive x-direction
    D
    if a proton is kept at `(-R,0,0)` and magnetic field is increasing then it will experience force in negative y-axis

  • A triangular loop is placed in a dot o. magnetic field as shown in figure. Find the direction of induced current in the loop if magnetic field is increasing.

    A
    Anti-clockwise
    B
    random
    C
    Clockwise
    D
    no induced current

  • A metal rod of length L is placed normal to a magnetic field and rotated in a circular path with frequency f. The potential difference between it ends will be -

    A
    `piL^2 Bf`
    B
    `BL//f`
    C
    `piL^2 B//f`
    D
    `fBL`

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    A cylindrical region of magnetic field is produced by an electromagnet as shown in the figure. A wint carrying a current of 0.5 A is placed perpendicularly to the axis of the cylindrical region. If the magnetic field produced by the electromagnets is 2.0 T in strength and the radius of cylindrical region is 5 cm, find the magnetic force acting on the wire due to the magnetic field in the region.

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