Using nodal analysis solve for v1,v2,v3 where the values of Vr = 12V R1= 5 R2 = 10 R3 = 15 R4 = 20

For the circuit below, use loop analysis to find the voltages VA, VB, and Vc: (Provide your calculations and reasoning for your answer.) Use matrix form to solve equatins. VA R10 R11 330 4k R13 470 VB Vc R8 R9 R12 1k 220 700 V3 V2 R15 R14 15Vdc 25Vde 2k 550 ww ww

VA For the following circuit, use nodal analysis to write the FOUR equations in standard form. DO NOT SOLVE. You must identify any quasi-supernodes, su- pernodes, auxiliary equations, and remove dependent variables. Your final equations may only have V1,V2,V3 and/or V4 as unknowns. Put your final equations in stan- dard form in the box provided. 12. )4A V2 Vi V3 8V +)3V Vo 5V

Using nodal analysis for the circuit, write the nodal equation at V1 and at V2

R3-50 Q UTM b) Figure Q4(b) is referred. By using nodal analysis, solve for: 5 UTM i) the values of voltage V, and V; in 5 UTM & UTM ii) the values of current, Ij in phasor domain and time domain UTM MS UTM 5 UTS 5 UTM 5 UTM 5 UTM & UTM 8 UTM 8 UTM 8 UTM 5 UTM 8 UTM 8 UTM R=10 Q UTM & UTM 8 UTM 8 UTM 8 U U XL=j5 Q 8 UTMSN 10020° v A 5 UTM 6 UTM R-20 Q R;=10 Q UTM 5 UTM M 8 UTM JUTM 8 UT 8 UTM 5 UM 8 UTM 5 UTM UTM UTM 8 UTM I-520° A UTM TM 8 UTM UTM 5 UT

Determine the current and voltages using the circuit below . Put in polar and rectangular form

Shown in the figure below is an electrical circuit containing three resistors and two batteries. R3 10 R2 R1 Write down the Kirchhoff Junction equation and solve it for I, in terms of I, and Iz. Write the result here: Write down the Kirchhoff Loop equation for a loop that starts at the lower left corner and follows the perimeter of the circuit diagram clockwise. Write down the Kirchhoff Loop equation for a loop that starts at the lower left corner and touches the components R1, R2, and 4V. The resistors in the circuit have the following values: R, = 130 • R2 = 50 R3 = 10 Solve for all the following (some answers may be negative): | Amperes I = I, = Amperes Iz = Amperes NOTE: For the equations, put in resistances and currents SYMBOLICALLY using variables like RR2,R3 and I,,12,13. Use numerical values of 10 and 4 for the voltages.