Home
Class 12
PHYSICS
A rectangular wire loop with length a an...

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 a function of time is

A

`|(ab^2c)/2 omega cos omega t|`

B

`|ab^2 c omega cos omega t|`

C

`|(ab^2c)/2 omega sin omega t|`

D

None of the options

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

A square loop of side 'a' is placed in x-y plane as shown in figure. In this region there is non-uniform time dependent magnetic field vec B= (cy^3 t^2) veck , [where t is time and c is constant] then magnitude of emf induced in loop is

A rectangular loop of sides a and b is placed in xy -placed. A uniform but time varying magnetic field of strength B=20thati+10t^2hatj+50hatk is present in the region. The magnitude of induced emf in the loop at time is

The magnetic field I nan reigion is given by B=B_(0) (X)/(a)K . A Squrae edges along the x and y axis. The loop is moved with a constant velocity . The emf induced in the loop is

For a particle moving in the x-y plane, the x and y coordinates are changing as x=a sin omega t and y = a ( 1-cos omega t ) , where 'a' and omega constants. Then, what can be inferred for the trajectory of the particle ?

In the figure shown a semicircular wire loop is placed in a uniform magnetic field B=1.0T . The plane of the loop is perpendicular to the magnetic field. Current i=2A flows in the loop in the directions shown. Find the magnitude of the magnetic force in both the cases a and b . The radius of the loop is 1.0 m

In the figure shown a semicircular wire loop is placed in a uniform magnetic field B=1.0T . The plane of the loop is perpendicular to the magnetic field. Current i=2A flows in the loop in the directions shown. Find the magnitude of the magnetic force in both the cases a and b . The radius of the loop is 1.0 m

A point moves in the plane xy according to the law x=a sin omegat , y=a(1-cos omega t) , where a and omega are positive constants. Find: (a) the distance s traversed by the point during the time tau ,

A ring rotates with angular velocity omega about an axis in the plane of the ring which passes through the center of the ring. A constant magnetic field B exists perpendicualr to the plane of the ring . Find the emf induced in the ring as a function of time.

A ring rotates with angular velocity omega about an axis in the plane of the ring which passes through the center of the ring. A constant magnetic field B exists perpendicualr to the plane of the ring . Find the emf induced in the ring as a function of time.

A ring rotates with angular velocity omega about an axis in the plane of the ring which passes through the center of the ring. A constant magnetic field B exists perpendicualr to the plane of the ring . Find the emf induced in the ring as a function of time.