Question

Outoni 110 Pets Consider the concellow and wer the following questions 1022 V 1.5H 000 2 H1 000 1.5 H 20cos / V 0.01F Q1. a. 110 Points Draw the phasor domain circuit Q1. b. 115 Points Use nodal analysis technique to calculate the voltage V, in the time domain, Vict) Show your detailed solution Final Answer: Vilt- QI. c. 15 Points Calculate the current is in the time domain, if

Answer 1

* Given electric circuit is, page-1 102 MAL Vi 1.5H 2H Ix + 0.01F 200055t ww 115H Q1as In phasor form, Becomes 20190 20 cos5t Becomes 1.5H +jWL = + j(5)(1.5) = t; 7.52 Becomes on 2H +jWL =+j (5)(2) =+jion Becomes -jxc = 0.0F -j. -j WC 5X0.01 - - j 100 0.05 100 20 - 1100 =-;202

page-2 * circuit becomes, 10.12 MM +17.552 4310 ixt 3+j 7.5.2 -j 2012 20190 v Q12) b) +10.12 102 Vo +3752 M -j202 3 +; 7.5.22 20190v Apply Nodal Analysis at "vi" Node, V, -20/90° + Vi -j20 (07.5+j10+57.5) 10 - =0 + V j 25 20190 id -;20 10 jbs) = 2190 Vi jzo (to j25 (12p)(125) – (1ØY(125)+(0)(120) 10 (520) (325) = 2L90°

page-3 ja 100 vil so-5 +41 ) - 2009 vo -10 700) 2 i toto) - ) =2190 .) = 2190 VI 200 | 90° (10+j) -> convest redangle to polar by Using calculator 200 90° 10.04987562 10-099668652 Vi V, - 19.9007438) 89.900 33135° V → In polar foom Vi = 0.034618243+j19.9007137V 01) c) Ix- Vi -120 20-90 Ix = 19.90074381 / 89.90033135 20 1-90° Ix = 0.99503719 117 9.900 3314°

page - 4 Hence, Tx=0.99503719 [179.900 33135° A J7 را polar form. * Ix = 60.995035684 +3 0.001730913062A