- Problem 1 10 Pts A Phasor Diagram Is Shown For A Current Labeled 14 Express The Value Of This Phasor In Both Phasor F 1 (27.28 KiB) Viewed 46 times
Problem 2 (15 pts) A simple circuit is shown with an impedance being excited with a current. Calculate the voltage as shown with the polarity. Z= 100-100j Ohm and Vab = 5V<45°. . Iab= Vab + N b . a Tab
Problem 3 (20 pts) A circuit is shown below. It would be best to solve it using nodal analysis. First write down the nodal equations. Second, put them into matrix format. Finally solve for the voltages at A and B using a complex math solver of your choosing. I prefer Matlab. Your values for VA and VB may be in either phasor or complex format. Both isl and is2 are operating at 100 Rad/sec with isl=0.5<-90° mA and is2=2.5<-63.50mA 1 mF va Ub 22 4Ω isi isz 5 mF 40 mH
Problem 4 (25 pts) A circuit is shown below. It would be best so solve it using mesh analysis. First write down the mesh equations for the circuit. Second put them into matrix format. Finally, solve for the three mesh currents using a complex math solver of your choosing. I prefer Matlab. Your answers for IA and IB may be in either phasor or complex format. The voltage source is operating at 100 Rad/sec and a value of 10<0° V. Follow these steps a) Find the impedance of the two capacitors at the given frequency b) Construct the mesh equations c) Put the mesh equations into matrix format d) Use a matrix solver to find the two currents IA and IB 10 KS2 b a 10 KS2 с w w + + + + A luf 14F+ vi(t) B 2uF+ uz(t)
Problem 5 (20 pts) The circuit shown has a transformer with a source impedance and a load impedance as shown. The turns ratio is shown. Perform the following a) Reflect the load impedance to the primary side of the transformer. b) Calculate Vp and Ip with the reflected load impedance c) Calculate Vs and Is with the load reflected back to its original location. 1 (2-j2)Ω Ì, ī, Z Ù + 110 | 10 Load (4+j8)2 - 24V MS 40° + 1:2
Problem 6 (30 pts) The circuit below is a 3 phase circuit with source impedance, line impedance and load impedance. The circuit is positive phase sequence with Va'n= 120<0, Vb'n= 120<-120 and Ve’n = 120<120. All impedances are balanced with Zgx=0.5+2.5j, Zlx=2.5+4.5j and ZX= 100+25j ohms. The neutral line impedance is 0 ohms. Calculate the following. a) The line currents IaA, IbB, ICC b) The phase currents of the sources as shown Ias Ibs and Ics c) The phase voltage of the loads VAN, VBN, VCN d) The line voltage of the loads VAB, VBC, VCA e) The Complex, Real, and Reactive power developed by the three phase source (S=P+jQ) а A Zla TA las Zga î Zo ZA + + n N Va'n N Zgo Zo ZB b B Van Vb'n lbs N Zc Ics Zgc Zic с