An RLC circuit consists of a resistor R, an inductor L, and a capacitor C connected in series to a voltage source E(t). The charge q on the capacitor satisfies the following second-order ODE: Lď' + Rq' + ¿q = E(t) Suppose R = 0.02 N (ohms), L = 0.001 H (henrys), C = 2 F (farads), and E(t) = sin(100t) V (volts). a. Solve for q(t), using q(0) = 0 and d'(0) = 0 (initial charge and current are 0). dq b. Find I(t), the current in the circuit. Use I(t) = dt
An RLC circuit consists of a resistor R, an inductor L, and a capacitor C connected in series to a voltage source E(t). The charge q on the capacitor satisfies the following second-order ODE: Lď' + Rq' + ¿q = E(t) Suppose R = 0.02 N (ohms), L = 0.001 H (henrys), C = 2 F (farads), and E(t) = sin(100t) V (volts). a. Solve for q(t), using q(0) = 0 and d'(0) = 0 (initial charge and current are 0). dq b. Find I(t), the current in the circuit. Use I(t) = dt
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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