- 1 Electrical Engineers Often Study The Transient Behavior Of Rlc Circuits Containing Resistors Inductors And Capacit 1 (235.13 KiB) Viewed 17 times
1. Electrical engineers often study the transient behavior of RLC circuits (containing resistors, inductors, and capacitors). Such studies play an important role in the design of various electronic components. Suppose an open RLC circuit has an initial charge of qo stored within a capacitor. When the circuit is closed (by throwing a switch), the charge flows out of the capacitor and through the circuit in accordance with the equation q- que-R(21) cos[√1/LC-(R/2L)²t] In this equation, R is the resistive value of the circuit, L is the value of the inductance, and C is the value of the capacitance. Prepare a table of q versus t over the interval 0 ≤ t ≤ 0.5 second. When entering formulas, be careful to use relative and absolute cell addressing correctly, as required. To construct the table, assume that qo = 104 coulombs, R = 0.5 x 10³ ohms, L = 10 Henries, and C= 10-4 farads. Let t vary by 0.01 second intervals (in other words, let t = 0, 0.01, 0.02, . . . , 0.5 second). Estimate the point where q first crosses the t-axis (i.e., estimate the value of t corresponding to q = 0).