In a cylinder region of radius `R`, a uniform magnetic field is there which is increasing with time, according as `B = B_(0)t^(2)`. A positive point charge `q` is released from rest at `P(OP = (R )/(2))` at `t = 0` [the instant the field is switched on]

The force experienced by, the point charge at `t = 1s`, is `(R = 2m)`

Figure shows a circular region of radius R in which uniform magnetic field B exists. The magnetic field is increasing at a rate (dB)/(dt) . The induced electric field at a distance r from the centre for r lt R is

A thin non-conducting ring mass m , radius a , carrying a charge q can rotate freely about its own axis which is vertical. At the initial moment the ring was at rest and no magnetic field was present. At instant t = 0 , a uniform magnetic field is switched on which is vertically downwards and increase with time according to the law B = B_(0)t . Neglecting magnetism induced due to totational motion of the ring. Now answer the following questions. The power developed by the forces acting on the ring, as a function of time :

A conducting ring of mass m = pi kg and radius R = (1)/(2)m is kept on a flat horizontal surface (xy plane). A uniform magnetic field is switched on in the region which changes with time (t) as vec(B) = (2hatj +t^(2) hatk)T . Resistance of the ring is r = pi Omega and g = 10 ms^(-2) . (a) Calculate the induced electric field at the circumference of the ring at the instant it begins to topple. (b) Calculate the heat generated in the ring till the instant it starts to topple.

The magnetic field in a certain cylindrical region is changing with time according to the law B=[16-4t^(2)] Tesla . The magnitude of induced electric field at point P at time t= time =2 sec , is

The magnetic field in a certain cylindrical region is changing with time according to the law B=[16-4t^(2)] Tesla . The magnitude of induced electric field at point P at time t= time =2 sec , is

The magnetic field in a certain cylindrical region is changing with time according to the law B=[16-4t^(2)] Tesla . The magnitude of induced electric field at point P at time t= time =2 sec , is

A thin non conducting ring of mass m , radius a carrying a charge q can rotate freely about its own axis which is vertical. At the initial moment, the ring was at rest in horizontal position and no magnetic field was present. At instant t=0 , a uniform magnetic field is switched on which is vertically downward and increases with time according to the law B=B_0t . Neglecting magnetism induced due to rotational motion of ring. Find intantaneous power developed by electric force acting on the ring at t=1 s

A thin non conducting ring of mass m , radius a carrying a charge q can rotate freely about its own axis which is vertical. At the initial moment, the ring was at rest in horizontal position and no magnetic field was present. At instant t=0 , a uniform magnetic field is switched on which is vertically downward and increases with time according to the law B=B_0t . Neglecting magnetism induced due to rotational motion of ring. Find intantaneous power developed by electric force acting on the ring at t=1 s

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

A thin non conducting ring of mass m , radius a carrying a charge q can rotate freely about its own axis which is vertical. At the initial moment, the ring was at rest in horizontal position and no magnetic field was present. At instant t=0 , a uniform magnetic field is switched on which is vertically downward and increases with time according to the law B=B_0t . Neglecting magnetism induced due to rotational motion of ring. The magnitude of an electric field on the circumference of the ring is