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A rectangular loop PQMN with movable arm...

A rectangular loop PQMN with movable arm PQ of length 10 cm and resistance `2 Omega` is placed in a uniform magnetic field of 0.1 Tesla perpendicular to the plane of the loop as shown in the figure. The resistances of the arms MN, NP and MQ are negligible. Calculate the (i) emf induced in the arm PQ and (ii) current induced in the loop when arm PQ is moved with velocity 20 m/s.

Text Solution

Verified by Experts

(i) induced emf
`e=Blv`
`= 0.1xx10xx10^(-2)xx20V`
`=0.2` volt
(ii) Current in the loop
`i=e/R`
`=(0.2)/(2)=0.1 A`
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Knowledge Check

  • In which of the following cases is no current induced in the loop ?

    A
    The loop is moved in the direction of the magnet
    B
    The magnet is moved in the direction of the loop
    C
    The loop and the magnet are moved in the same direction with same speed
    D
    The loop and the magnet are moved in opposite direction with same speed.

  • In which of the following cases is no current induced in the loop ?

    A
    The loop is moved in the direction of the magnet
    B
    The magnet is moved in the direction of the loop
    C
    The loop and the magnet are moved in the same direction with same speed
    D
    The loop and the magnet are moved in opposite direction with same speed.

  • A conducting circular loop of radius r carries a constant current I. it is placed in uniform magnetic field B such that B is perpendicular to the plane of the loop. The net magnetic force acting on the loop is :

    A
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