The terminals of a generator producing a voltage v are connected through a wire of resistance r and a coil of inductance l (and negligible resistance). a capacitor of capacitance c is connected in parallel with the resistance r (a) show that the current i flowing through the resistance r is given by d'i . di dı2di (b) given (i) v 0 for t < 0 and v- e (constant) for t20 (ii) l=2r2c (iii) cr = /n show that the equation reduces to di dt dt (c) hence, assuming that i 0 and di/dt - 0 when t 0, use laplace transforms to obtain an expression for i in terms of t, i(t) (d) plot i(t) using scilab or matlab. use the value for -sid, and n - highest{sidi, sid2, sids) (e) give comments on your plot in (d)