Question

2. (2000) Electromagnetics (DC Circuit) Problem a. Calculate the voltages across all resistors and the currents through all the resistors and voltage sources in the following circuit using Kirchhoff's junction rule (nodal analysis). Show the directions initially assumed for the junction (node) currents. Use the minimum number of junctions (nodes) necessary to accomplish this b. Calculate the power dissipation in each resistor and the sum (or total) of these individual power dissipation values c. Calculate the power associated with each individual voltage source and the sum (or total) of the power provided by the two voltage sources? Are these two sums equal? In other words, is the total power dissipated in the resistors equal to the total power provided by the sources (Yes/No)? What fundamental principle from physics (thermodynamics) applies when comparing these two values? Notes: Be sure to observe the polarities of all voltage sources and voltage drops across resistors carefully, Resistance values for this problem are specified in kilohms. Voltage values are specified in volts. R5 R1 R3 VA VC VD 1k 4k 5k V1 R2 2k 20Vdc 3k

Answer 1

Sol GivenCt diagram lc-nv Jure rion Now we kroiofkincLho Curet lao rren eaVing Curre Sun eentainq Currents - ApPly unC KonTuleat node-B le at oda - C APpl uncon 3 and - S.22 mA Curient S A Y178-o

current φ0wing trough 4KA Raistri Cur Ten 3 ma. we Know - 8. 22 mA att Currenttouh 2. 2. (&r) Power di pated 2 powe dspated Power ci pattedt Power dis pattedt Power di palted = 69.38 2.-3 27, 8s m) 2 Total Power diipatted P C. Power ust乂 e de livered。 te temina of ow e a 64 .4 muo Veae Total Powe deliveed Ths s called aLau o