In a region at a distance r from z-axis, magnetic field `vec(B) = B_(0)rt hat(k)` is present where `B_(0)` is constant and t is time. Then the magnetic of induced electric field at a distance r from z-axis is given by

A disc is kept on xy plane with centre at origin. Find electric field at a point with distance Z from origin on z-axis.

A cylindrical space of radius R is filled with a uniform magnetic induction parallel to the axis of the cylinder. If B charges at a constant rate, the graph showin the variation of induced electric field with distance r from the axis of cylinder is

A uniform but time-varying magnetic field B(t) exists in a circular region of radius a and is directed into the plane of the paper, as shown. The magnitude of the induced electric field at point P at a distance r from the centre of the circular region

A uniform but time-varying magnetic field B (t) exists in a circular region of radius a and is directed into the plane of the paper as shown . The magnitude of the induced electric field at point P at a distance r from the centre of the circular region is

A uniform but time varying magnetic field B(t) exist in a circular region of radius a and is directed into the plane of the paper as shown. The magnitude of the induced electric field at point P at a distance r form the centre of the circular region.

In region x gt 0 a uniform and constant magnetic field vec(B)_(1) = 2 B_(0) hat(k) exists. Another uniform and constant magnetic field vec(B)_(2) = B_(0) hat(k) exists in region x lt 0 A positively charged particle of mass m and charge q is crossing origin at time t =0 with a velocity bar(u) = u_(0) hat(i) . The particle comes back to its initial position after a time : ( B_(0),u_(0) are positive constants)