A wire ab of length l, mass m and resistance R slided on a smooth, thick pair of metallic rails joined at the bottom as shown in . The plane of the the rails makes an angle `theta` with the horizontal. A vertical magnetic field B exists in the ragion. if the wire slides on the rails at a constant speed v, show that `B = sqrt(mg R sin theta)/(vl^2 cos^theta)`.

A wire ab of length l, mass m and resistance R slides on a smooth, thick pair of metallic rails joined at the bottom as shown in the figure . The plane of the the rails makes an angle theta with the horizontal. A vertical magnetic field B exists in the region. if the wire slides on the rails at a constant speed v, show that B = sqrt (mg R sin theta)/ sqrt (vl^2 cos^2theta) .

A wire ab of length l, mass m and resistance R slides on a smooth thick pair of metallic rails joined at the bottom as shown in fig. The plane of the rails makes an angle theta with the horizontal. A vertical magnetic field B exist in the region. If the wire slides on the rails at a constant speed v, then the value of B is -

A conducting rod ab of length l, mass m and resistance R slides on a smooth, thick pair of metallic rails. The plane of the rails makes an angles theta with the horizontal. A magnetic field B acts along the perpendicular to the horizontal plane in upward direction. If the rod slides down on the rails at a constant speed v, then show that B=sqrt((mgRsintheta)/(l^(2)vcos^(2)theta)) .

A conducting wire ab of length l resistance r and mass m starts sliding down at t=0 on a smooth, vertical thick pair of connected rails as shown. The terminal speed of the wire is

A wire of length l, mass m and resitance R slides without any friction down the parallel conducting rails of negligible resistance (Fig). The rails are connected to the wire so that the wire and the rails form a closed rectangular conducting loop. The plane of the rails makes an angle theta with the horizontal and a uniform vertical magnetic field of induction B exists throughout the region. Find the steady-state velocity of the wire

A wire of length l , mass m and resistance R slides without any friction down the parallel conducting rails of negligible resistance . The rails are connected to each other at the bottom by a resistanceless rail parallel to the wire so that the wire and the rails form a closed rectangualr conducting loop. The plane of the rails makes an angle theta with the horizontal and a uniform vertical magnetic field of the inducetion B exists throughout the rregion. Find the steady state velocity of the wire.

A wire of length l , mass m and resistance R slides without any friction down the parallel conducting rails of negligible resistance . The rails are connected to each other at the bottom by a resistanceless rail parallel to the wire so that the wire and the rails form a closed rectangualr conducting loop. The plane of the rails makes an angle theta with the horizontal and a uniform vertical magnetic field of the inducetion B exists throughout the rregion. Find the steady state velocity of the wire.

Consider the situation shown in . The wire PQ has mass m, resistance r and can slide on the smooth, horizontal parallel rails separted by a distance l. The resistance of the rails is negligible. A uniform magnetic field B exists in the rectangualr region and a resistance R connects the rails outsided the field region At t= 0, the wire PQ is puched towards right with a speed v_0 . find (a) the current in the loop at an instant when the speed of the wire PQ is v, (b) the acceleration of the wire at this instatn, (c ) the velocity v as a function of x and (d) the maximum distance the wire will move.