Question

EE 2350. Fall 2019 QUIZ V Name Partial/Full credit will be given only if you include all your work. The current in a 50 uH inductor is known to be i, = 18 te A fort20 a) Find the voltage across the inductor for t > 0. b) Find the power (in microwatts) at the terminals of the inductor when t = 200 ms. c) Is the inductor absorbing or delivering power at 200 ms? d) Find the energy (in microjoules) stored in the inductor at 200 ms.

Answer 1

(a) + V (b) 800X16) ol 0.5 mA Given that inductor L: 50.H and E to t>0 . V = L din n k = 50króm [ 1850€ + 182 ēlotc-ro) : YLE (900 ēlot - 90003 è lotuv +8 +20 at t = 200ms we know that pek. I at t= 200m sec = 18 (200 m) ë '0(800 x10 t=200 msec t = 200m vel - 900 (68) - 9000(200m) ēX = (121.8 - 243.6) uv vel = -181.8 Luv t=200m Power = i. VL = 0.5mA. (-121.8) un = -0.06 M Walt - ve sign indicates inductors delivering the power power delivered) = 0.06 l wat JE û delivering the power at tz@oumsec t-200msec c) 200 msec E: S I podt E = / Pdelivered. at 6.06 M). Cacoom) 0.006 x2 Joules c a 0.012 U Joules mun