The current generator `i_g`, shown in , sends a constant current I through the circuit. The wire ab has a length l and mass m and can slide on the smooth, horizontal rails connected to `l_g`. The entire system lies in a vertical magnetic field B. Find velocity of the wire as a function of time.
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Figure shows a wire ab of length L and resistance R which can slide on a smooth pair of rails. I_(g) is current generator which supplies a constant current i in the circuit. If the wire ab slide at a speed v towards right, find the potential difference below a and b (b) The current generator I_(g) show in the figure sends a constant current i through the circiut. The wire ab has a length L and mass m and can slide on the smooth horizontal rails connect to I_(g) . The entire system lies in a vertical magnetic field B . Find the velocity of the wire as a function of time. (c) The system containing the rails and the wire of the previous part is kept vertically in a uniform horizontal magnetic field B that is perpendicular to the plane of the rails (figure). If is found that the wire stays in equilibrium. If th ewire ab is replaced by another wire of double its mass, how long will lit take in falling through a distance equal to its length? The current generator I_(g) shown in figure sends a constant current i through the circuit. The wire cd is fixed and wire ab is made to slide on the smooth, thick rails with a constant velocity v toward right. Each of these wires has resistance r . Find the current through the wire cd .

A conducting wire of length l and mass m can slide without friction on two parallel rails and is connected to capacitance C . The whole system lies in amagnetic field B and a constant force F is applied to the rod . Then

A uniform rod AB of mass m and length l is placed over two smooth conducting rails P and Q. If the witch shown as closed at t=0, find the velocity of rod AB as a function of time.

A rod of mass m , length l and resistance R is sliding down on a smooth inclined parallel rails with a cinstant velocity v . If a uniform horizontal magnetic field B exists, then find thevalue of B .

Figure showns a smooth pair of thick metallic rails connected across a battery of emf epsilon having a negligible internal resistance.A wire ab of length l and resistance r can slide smoothly on the rails.The entire system lies in a horizontal plane and is immersed in a uniform vertical magnetic field B .At an instant t the wire at this instant. (b)What is the force acting on the wire at this instant. (c)Show that after some time the wire ab will slide with a constant velocity.Find this velocity.

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

Two ends of an inductor of inductance L are connected to two parallel conducting wires. A rod of length l and mass m is gien velocity v_0 as shown. The whole sytem is placed in perpendicular magnetic field B. Find the maximum current in the inductor. (Neglect gravity and friction)

Two ends of an inductor of inductance L is connected to two parallel conducting rails. A conducting wire of length (that is equal to separation between the rails) can slide on the rails without friction. The wire has mass m. It is projected with a velocity v_(0) parallel to the rails (see Figure). Neglect self inductance and resistance of the loop. (a) Find velocity of the wire as a function of time. (b) Write current through the wire at time t. (c) Find speed of the wire as a function of its displacement. (d) Is the current in the conductor zero when it stops? If no, find this current . (e) Will the conductor move after it stops?