Shows rod `PQ` of mass `m` and resistance `r` moving on two fixed, resistanceless, smooth conducting rails (closed on both sides by resistances `R_(1) and R_(2)`). Find the current in the rod (at the instant its velocity is `v`).

A rod of mass m and resistance r is placed on fixed, resistanceless, smooth conducting rails (closed by a resistance R ) and it is projected with an initial velocity u .Find its velocity as a function of time.

A rod of mass m and resistance r is placed on fixed, resistanceless, smooth conducting rails (closed by a resistance R ) and it is projected with an initial velocity u .Find its velocity as a function of time.

A conducting rod of mass m and length l is free to move without friction on two parallel long conducting rails, as shown below. There is a resistance R across the rails. In the entire space around, there is a uniform magnetic field B normal to the plane of the rod and rails. The rod is given an impulsive velocity v_(0) - Finally, the initial energy (1)/(2) mv_(0)^(2)

A rod of mass m and resistance R slides on frictionless and resistance less rails at distance l apart, that include a source of emf E_0 (see figure). The rod is initially at rest. Find the expression for the a. Velocity of the rod v(t). b. current in the loop i(t).

Two parallel vertical metallic bars X X^(1) and Y Y^(1) , of negligible resistance and separated by a length 'l' , are as shown in Fig. The ends of the bars are joined by resistance R_(1) and R_(2) . A uniform magnetic field of induction B exsits in space normal to the plane of the bars. A horizontal metallic rod PQ of mass m starts falling vertically, making contact with the bars. It is oberved that in the steady state the powers dissipated in the resistance R_(1) and R_(2) and the terminal velocity attained by the rod PQ .

In the figure shown a conducting rod of length l , resistnace R and mass m is moved with a constant velocity v .The magnetic field B varies with time t as B=5 t , where t is time in second.At t=0 the area of the loop containing capacitor and the rod is zero and the capacitor is uncharged.The rod started moving at t=0 on the fixed smooth conducting rails which have negligible resistance.Find (i)The current in the circuit as a function of time t . (ii)If the above system is kept in vertical plane such that the rod can move vertically downward due of gravity and other parts are kept fixed and B =constant = B_(0) .then find the maximum current in the circuit.

A rod having length l and resistance R is moving with velocity v on a pi shape conductor. Find the current in the rod.

A rod having length l and resistance R is moving with velocity v on a pi shape conductor. Find the current in the rod.