Question

An RL circuit is fabricated as shown with an unknown resistor and real inductor. They are connected to a 12.0 V frequency generator that is set to 170. Hz. Two voltages are measured, VCA = 8.69 V and VBC = 6.59 V. What is the time constant of this circuit. (HINT: Use the phasor diagram shown to determine expressions for the phase constant, inductance and internal resistance of the inductor. Current is not shown since it is a series circuit.) B inductor V VL VBC mm A R VCA Vr

Answer 1

V VCA V li VA + y = vlose ka usind [egrei] ² [g" (ii) kant va + 2 Vs Y tv = v 8.69 +6+4) + 218169) Vr = (12) 2 8.69²+ 6.59² + 2(8.69) K = 144 [&=1.440 . VB ² - K²= 41.360 Y= 6.43 v o= tani ( u tur) = tan bertin) = 32.40 "LR) = 8.69v i (v) = i(x) = 6.43V اہاہا .1

z=J R² + x² 12 6.43 VR5 + x² 144 X ² = 6:43(x, ² + (R) Roma ? (21.395) Rei= X (4, 63) (Rm 20 (170) 2 (4.3) YRF 2alho) (4:3) -0.000218 See Ans.