If you find closed loops of B in a region in space, does it necessarily mean that actual charges are flowing across the area bounded by the loops?

A closed lop of B is produced by a changing electric field l.Does it necessarily mean that (dB)//(dt) are non - zero at all the points on the loop and in the area enclosed by the loop?

A closed loop of B is produced by a changing electric field. Does it necessary mean that E and dE//dt are non-zero at all points on the loop and in the area enclosed by the loop?

A rectangular wire loop of sides 8 cm and 2 cm with a small cut is moving out of a region of uniform magnetic field of magnitude 0.3T directed normal to the loop. What is the emf developed across the cut if the velocity of the loop is 1 cm s^-1 in a direction normal to the shorter side of the loop? For how long does the induced voltage last ?

A rectangular wire loop of sides 8 cm and 2 cm with a small cut is moving out of a region of uniform magnetic field of magnitude 0.3 T directed normal to the loop. What is the emf developed across the cut if the velociy of the loop is 1 cm s^-1 in a direction normal to the: longer side of the loop? for how long does the induced voltage last in each case?

Figure shows a metal rod PQ resting on the smooth rails AB and positioned between the poles of a permanent magnet. The rails, the rod, and the magnetic field are in three mutual perpendicular directions. A galvanometer G connects the rails through a switch K. Length of the rod =15 cm, B = 0.50 T, resistance of the closed loop containing the rod = 9.0 mOmega Assume the field to be uniform. Is there an excess charge built up at the ends of the rods when K is open? What if K is closed? :

When a conducting loop of resistance 10 Omega and area 10 cm^2 is removed from an external magnetic field acting normally, the variation of induced current in the loop with time is shown in the figure. Find the total charge passed through the loop.

A rectangular wire loop of sides 8 cm and 2 cm with a small cut is moving out of a region of uniform magnetic field of magnitude 0.3T directed normal to the loop. What is the emf developed across the cut if the velocity of the loop is 1 cm s^-1 in a direction normal to the longer side? For how long does the induced voltage last?

A test charge q is made to move in the electric field of a point charge Q along two different closed paths. Fig. First path has sections along and perpendicular loop of the same area as the first loop. How does the work done compare in the two cases?

(b) Find the area of the region bounded by the circle x^2+y^2=16 and the parabola x^2=6y .