Consider a series rlc circuit driven by a sinuoidal voltage source of 1v amplitude and angular frequency, ω, radians/sec. (a) derive an expression for the amplitude of the sinusoidal steady state voltage across the resistor, as a function of r, l, c, and ω. (b) for r = 5 kω, l = 400 nh, and c = 4 nf, sketch this amplitude as a function of ω, for values ranging from 1 krad/s to 1grad/s. what kind of a filter does this represent?