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Sahay Sir > Question Answers > Uncategorised (JEE Advanced Physics by BM Sharma + GMP Solutions) > Two long parallel horizontal rails a, a distance d aprt and each having a risistance λ 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?

Two long parallel horizontal rails a, a distance d aprt and each having a risistance λ 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 line charge with linear charge density λ is wound around an insulating disc of mass M and radius R A thermocol vessel contains 0.5 kg of distilled water at 30∘ C. A metal coil of area 5×10^−3 m^2 number of turns 100 of radius a pointing up. Now the magnetic field is switched off so that it is free to rotate. In the central region there is a uniform magnetic field B0 Two long parallel horizontal rails a which causes the disc to rotate. Find the angular speed with which the disc starts rotating. which is then suspended horizontally as shown in Fig. 3.90