A right circular cylinder of length L (in m) and of radius R (in m) has its center at the origin and its length along the X-axis. A uniform electric field `vecE = E_x hat I N C^-1 for x > 0 and vec E = -E_xhati NC^-1` for x < 0 exists over the cylinder. Find the net charge enclosed by the cylinder.

A cylinder of length L and radius R is placed in a uniform electric field E parallel to the axis o the cylinder. The total electric flux for the surface of the cylinder is given by

A circular loop of radius R, carrying current I, lies in x-y plane with its center at origin. The total magnetic flux through x-y plane?

A thin circular ring of radius r is charged uniformaly so that its linear charge density becomes lambda . Derive an expression for the electric for the electric field at a point P at a distance x from it along the axis of the ring. Hence, prove that at large distances (x>>r), the ring behaves as a point charge.

A uniform rod a has mass M and length L.Its radius of gyration about an axis through its one end and perpendicuular to its length is :

A particle of mass m and charge (-q) enters the region between the two charged plates initially moving along x-axis with speed v_x. The length of plate is L and an uniform electric field E is maintained between the plates. Show that the vertical deflection of the particle at the far edge of the plate is qEL^2//(2m v_x^2) .

A plane e.m. wave of frequency 40mHz travels in space along the x-direction.At some point, at some instant, the electric field vecE has its maximum value of 750NC^-1 in y-direction. What is the period of the wave?

A metal rod of length 1 m is rotated about one of its ends in a plane at right angles to a uniform magneic field of 2.5 xx 10^-3 Wb m^-2 . If its makes 30 r.p.s. Calculate the induced e.m.f. between its ends.

A plane e.m. wave of frequency 25MHz travels in space along the x-axis. At a prticular point in space and time the electric vector vecE=6.3Vm^-1hatj . Calculate vecB at this point.

A plane e.m. wave of frequency 25MHz travels in space along the x-axis. At a prticular point in space and time the electric vector vecE=6.3Vm^-1hatj . Calculate vecB at this point.