A conducting rod of mass 200 gm and length 10 cm can slide without friction on two long, horizontal rails. A uniform magnetic field of magnitude 5 m T exists in the region as shown. A source S is used to maintain a constant current 2 A through the rod. If motion of the rod starts from the rest, find its speed (in cm/s) after 10 s from the start of the motion

A conducting rod of mass 50 gm and length 10 cm can slide without friction on two long, horizontal rails. A uniform magnetic field of magnitude 5 mT exists in the region as shown. A source S is used to maintain a constant current 2 A through the rod. If motion of the rod starts from the rest, its speed after 10 s from the start of the motion will be

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 conducting rod of unit length moves with a velocity of 5m/s in a direction perpendicular to its length and perpendicular to a uniform magnetic field of magnitude 0.4T . Find the emf induced between the ends of the stick.

A 20 cm long conducting rod is set into pure translation with a uniform velocity of 10cm s ^(-1) perpendicuarl to its length. A uniform magnetic field jof magnitude 0.10 T exissts in a direction perpendicuarl to the plane of motion.

An iron rod of mass 50 g and length 50 cm is suspended by master wires as shown in the figure. Calculate the magnitude and direction of magnetic field to be set in the region such that the tension is the wires is zero. The current in the rod is 4 A.

Two long parallel horizontal rails a, a distance d aprt and each having a risistance lambda per unit length are joing at one end by a resistance R. A perfectly conduction rod MN of mass m is free to slide along the rails without friction (see figure). There is a uniform magnetic field of induction B normal to the plane of the paper and directed into the paper. A variable force F is applied to the rod MN such that, as the rod moves a constant current flows through R. (i) Find the velocity of the rod and the applied force F as function of the distance x of the rod from R. (ii) What fraction of the work done per second by F is converted into heat?

A thin uniform rod AB of mass m and length L is placed on a smooth horizontal table. A constant horizontal force of magnitude F starts acting on the rod at one of the ends AB , Initially, the force is perpendicular to the length of the rod. Taking the moment at which force starts acting as t=0 , find. (a) Distance moved by centre of mass of the rod in time t_(0) . (b) Magnitude of initial acceleration of the end A of the rod.