As depicted in Fig. P1.15, an RLC circuit consists of three elements: a resistor (R), and inductor

Question:

As depicted in Fig. P1.15, an RLC circuit consists of three elements: a resistor (R), and inductor (L) and a capacitor (C). The flow of current across each element induces a voltage drop. Kirchhoff’s second voltage law states that the algebraic sum of these voltage drops around a closed circuit is zero,

where i = current, R = resistance, L = inductance, t = time, q = charge, and C = capacitance. In addition, the current is related to charge as in

(a) If the initial values are i(0) = 0 and q(0) = 1 C, use Euler’s method to solve this pair of differential equations from t = 0 to 0.1 s using a step size of Δt = 0.01 s. Employ the following parameters for your calculation: R = 200 Ω, L = 5 H, and C 5 10^–4 F.

(b) Develop a plot of i and q versus t.