Suppose a conducting rod is moving with a speed of 6.0 m/s perpendicular to a 0.50-T magnetic field on a conducting rail. The rod has a length of 0.25 m and a negligible electrical resistance. The rails also have a negligible electrical resistance. A light bulb is part of the circuit and has a resistance of 120 Ohms. The emf produced by the rod is V, and the current induced in the circuit is A. (Write out numbers without 10-powers, that is, in the standard decimal form)

Asquare 1m x 1m plate is shown below. all four of its edges are kept at 0 co. at t=0the temperature distribution is given by: y xtsins n75)=.a) using separation of variables determine the temperature distribution t(x,y,t)along the plate at any time t.b) discretize the heat conduction equation +=22222 txtusing a second-order centered difference scheme for the two second derivatives and a first-order forward euler scheme for the first derivative. using von neumann stability analysis, determine the stability criterion for the proposed discretization scheme in terms of , hand t. solve for the maximum allowable time step tmax