Question

Question 4a Consider the LRC circuit shown below. At 0, the switch S is closed and a voltage Va-Vr = Vo cos wt is applied between A and F A -000i R. The equation describing the evolution of Q(t), the charge on the capacitor is CGiven Q0) amd #(o) - 0), the geteral solution of 1) may be written as (0), the general solution of (1) may be written as where Qc(t) as t0o, so after a long time, 2L Q(t)Qp(t) A coswt +A2 sin wt i(t)ip(t) dt We find A, Vo Vo R 22 Where 2, the impedance (measured in ohms) is Qp(t) can be rewritten as A cos (wt-φ) = where A2 and Question 4b Consider the following circuit. 2 R, SR2 At t = 0 seconds, the switch s is closed and a voltage Va-va-6(t) is applied across se Kirchoff's laws to write three equations for in(t), i2(t), and Qt) recognizing that i(t) = dt dQ dt (ii) Relate i, i, i2: (ii) For the closed circuit ABGHA: (iv) For the closed circuit BDFGB:

Answer 1

0 I4 R, in closed Loop A BGHA Vo(t) oi cdt C. dl t 乙 Cs Scanned with CamScanner