Question

Part A The current and voltage at the terminals of the inductor in the circuit are i(t) = (3.2+ 3e 401) A, t > 0; v(t) = –80e-40+ V, t > 0+.(Figure 1) Specify the numerical value of V. Express your answer to three significant figures and include the appropriate units. НА ? Value Units Submit Request Answer Part B Figure 1 of 1 Specify the numerical value of R. Express your answer to three significant figures and include the appropriate units. R 0 μΑ ? L3v(1) R = Value Units

Answer 1

R T 3 V(t) -uot 1 (t) = 3.273 VH]=- 80 -40t -th I(t) = I() + (160) - ICM) Je 3 t/ V (t) = No e ч

Compare equation and I (0) = 3.2A I Cot)- I() = 3 16')= 3+ ICO) 3+3.2 I (0) = 6.2 A T= 1/40 T = L/R=1/40 L-I R Compare ea and INS = - Bor at t=0 R M ICO) Ivs I(0) Vs R во R 3.2= 80 R R= 00 3.2

R = 2.52 Io = initial Current To= I lot) = 6.2 A 1/40 from ea 6 R R = 250 L -1 25 40 LE 25 40 L= 625x1034 L=625 my ERI LITU) 2 9= [X 625x10 ° x (3.27 324ot) (3.2 + 3 e o ty? 9x2 625x10 3 yot (28.8 = 3.2 + 3 e - yot 5.36=3.2 + 3e 3 yot 5.36-3.2 -uot e t = 2,167/3 = 0.722 - 40t = ln 0.722 - 40 t = -0.325

t = 0.325 40 t = 8.136x103 t=8.136 msec Summarised aus A Vs = – 80 volt B Re 25. 12 To = 6.2 Ampore D L = 625 Milli Henery (E t = 8.136 millisec