The equation of motion of the moving coil of a galvanometer when a current is passed through is of the form d^2theta/dt^2+2Kdtheta/dt+n^2theta= n^2i/K where theta is the angle of deflection from the? 'no-current' position and n and K are positive constants. Given that i is a constant and that theta(0)=theta'(0)= 0 when t=0?, obtain an expression for the Laplace transform of theta. In constructing the? galvanometer, it is desirable to have it critically? damped, so that n=K . Using the Laplace transform? method, solve the differential equation in this case.