Home
Class 12
PHYSICS
A rectangular conducting loop PQRS is ke...

A rectangular conducting loop PQRS is kept in xy plane with its adjacent sides parallel to x and y axes. A mag- netic field `vec(B)` is switched on in the region which varies in posi- tion and time as `vec(B) = [B_(0) sin (ky – omega t)]hatk` . It was found that the emf induced in the loop is always zero. Express the length (L) of the loop in terms of constant k and `omega`.

Text Solution

Verified by Experts

The correct Answer is:
`L = n (2pi)/(k); n = 1,2,3,..`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ELECTROMAGNETIC INDUCTION

    ARIHANT|Exercise Level 3|12 Videos
  • ELECTROMAGNETIC INDUCTION

    ARIHANT|Exercise Level 3|12 Videos
  • CURRENT ELECTRICITY

    ARIHANT|Exercise Current Electricity|105 Videos
  • ELECTROSTATICS

    ARIHANT|Exercise Level 3|59 Videos

Similar Questions

Explore conceptually related problems

A wire loop carrying current I is placed in the x-y plane as shown in the figure. If an external uniform magnetic field vec(B)=B hat(i) is switched on, then the torque acting on the loop is

A conducting loop of area A is placed in a magnetic field which varies sinusoidally with time as B=B_(0)sin

Knowledge Check

  • A conducting circular loop of raidus and resistance R is kept on a horiozntel plane. A vertical time varing magnetic field B=2t is switched on at time t=0. Then

    A
    power generated in the coil at any time t is constant
    B
    flow of charge passed through any section between time
    C
    total charge passed through any section between time `(t=0 "to" =2 is ((4pia^(2))/(R))`.
    D
    All of the above
  • A conducting loop of radius R is present in a uniform magnetic field B perpendicular to the plane of the ring. If radius R varies as a function of time t, as R =R_(0) +t . The emf induced in the loop is

    A
    `2pi(R_(0)+t)B` clockwise
    B
    `pi(R_(0)+t)B` clockwise
    C
    `2pi(R_(0)+t)B` anticlockwise
    D
    zero
  • A conducting square loop PQRS of side L and resistance R moves in its plane with a uniform velocity vcev perpendicular to one of its sides. A magnetic field vceB , constant in time and space, pointing perpendicular and out of the plane of loop exists everywhere. The current induced in the loop is

    A
    `(BLV)/R` clockwise.
    B
    `(BLv)/R` anticolckwise.
    C
    `(2 BLv)/R` colckwise.
    D
    zero.
  • Similar Questions

    Explore conceptually related problems

    A circular brass loop of radius a and resistance R is placed with it plane perpendicular to a magnetic field, which varies with time as B = B_(0) sin omega t . Obtain the expression for the induced current in the loop.

    A wire loop confined in a plane is rotated in its oen plane with some angular velocity. A uniform magnetic field exists in the region. Fid the emf induced in the loop.

    A rectangular wire loop with length a and width b lies in the xy-plane as shown. Within the loop, there is a time dependent magnetic field given by vecB = c[(x cos omega t)hati+ (y sin omega t)hatk] . Here , c and omega are constants. The magnitude of emf induced in the loop as function of time is

    A conductor AB of length l moves in x y plane with velocity vec(v) = v_(0)(hat(i)-hat(j)) . A magnetic field vec(B) = B_(0) (hat(i) + hat(j)) exists in the region. The induced emf is

    A conducting loop of radius R is present in a uniform magnetic field B perpendicular to the plane of ring. If radius R varies as a function of time t as R = R_(0)+t^(2) . The emf induced in the loop is