Question

Chapter 7, Problem 7.015 Use the differential equation approach to find i(t) for t > 0 in the circuit in the figure below. i(t) 6 mA 1 kS2 2 k2 4 mH Please put all numbers as integers. Click here to enter or edit your answer mA i(t)

Answer 1

At t = 0^- I_ L (0^-) = 6 mA mps = 6 times 10^- 3 Amps A t > 0 R = {[(1 + 1) // 2} // 1 = {[2 // 2] + 2} // 1 = [3] // 1 = 3/4 k Ohms \r\n R = 3/4 k Ohms L = 4 m henry R/L = 187500 - R i - L d i/d t = 0 d i/d t + R/L i = 0 i (t) = k e^- R/L t at t = 0^+ i (0^+) = k e^- 0 i (0^+) = k k = 6 mA i (t) = (6 mA) e^-187500 t i (t) = 6 e^- 187500 t mA