A time varying uniform magnetic field passes through a circular region of radius R. The magnetic field is directed outwards and it is a function of radial distance 'r' and time 't' according to relation B-B_(0)rt. The induced electric field strength at a radial distance `R//2` from the centre will be.

A uniform magnetic field exists in a circular region of radius R centrad at O. The field is perpendicular to the plane of paper and is strength varies with time as B=B_(0)t . Find the induced electric field at a distance r from the centre for (i) r lt R , (ii) r gt R . Also, plot a graph between |E| and r for both the cases.

The magnetic field at a distance r from a long wire carryimg current I is 0.4 T. The magnetic field at a distance 2r is

What will be magnetic field at centre of current carrying circular loop of radius R?

A uniform but time varying magnetic field is present in a circular region of radius R. The magnetic field is perpendicular and into the plane of the loop and the magnitude of field is increasing at a constant rate alpha . There is a straight conducting rod of length 2R placed as shown in figure. The magnitude of induced emf across the rod is

The electric field in a region is directed outward and is proportional to the distance r from the origin. Taking the electric potential at the origin to be zero

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