Nodal Analysis Example : Write the nodal equations for the circuit shown; 102 js Reference nsdet Solution :We have tw o independent node 1 and 2 , so two equatione have to be written : Node 1 (4+j4) is 4+j4 10 j5 Node 2 %3D 5 6-j8 From thece two equetione, the unknown voltages V, and V, must be determined.
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- The circuit given below will be analyzed. β=3 α=8 a) Norton in the form I = GNV + IN of the part of the circuit seen when looking left from the A-B ends find the equivalent (parametrically equivalent). b) Let R1 = 0.5Ω, R2 = 1Ω, J = 2A, E = 1V. 10Ω to A-B ends When the Ry load impedance is connected, the power consumed at this load is Norton for the circuit. Calculate using the equivalent.Nodal Voltage Analysis given the following circuit: 1. Set up the KCL equations for the supernode, V3 and V1-V2. Using these equations find the voltages at V1, V2, & V3. ** you may use the LCM method when simplifying the equations. 2. Find if absolute value of the power absorbed or delivered by the dependent sources. lastly, kindly add notes so that I can follow through the solutions. please write legibly.For the circuit shown , compute Vs and Vl.2. Construct a phasor diagram showing the relationship between Vs,Vl, and the load voltage of 120 0° V .3. Repeat parts (a) and (b), given that the load resistance changesfrom 7.5 Ω to 2.5 Ω and the load reactance changes from 12 Ω to4 Ω. Assume that the load voltage remains constant at 120∠0° V.How much must the amplitude of Vs be increased in order tomaintain the load voltage at 120 V?4. Repeat part (c), given that at the same time the load resistance andreactance change, a capacitive reactance of −2 Ω is connectedacross the load terminals.
- In the DC Circuits lab , "Ohm's Law", the resistance of the four load were measured and also their accepted values were calculated: For Load A: Resisitance=4.4 kΩ (accepted value) caluculated using formula =R= R1+ R2 + R3 Resisitance=4.42kΩ (experimental value) For Load B: Resisitance=0.47 kΩ (accepted value) caluculated using formula =R= 1/(1/R1+ 1/R2 + 1/R3) Resisitance=0.47kΩ (experimental value) For Load C: Resisitance=1.95 kΩ (accepted value) caluculated using formula =R= R1+(( R2*R3)/R2 +R3) Resisitance=1.95kΩ (experimental value) For Load D: Resisitance=1.08 kΩ (accepted value) caluculated using formula =R= ((R1+ R2)* R3)/R1+R2+R3 Resisitance=1.08kΩ (experimental value) Percent Discrepancy for each load were 0 What's the conclusion then?For the circuit shown if VS=j50VAC and V1=j30VACa) the node voltage a (va)b) The voltage of node b (vb) 0Solve for the source 1 and 2. Complete the table given by using mesh analysis. Note: If there are no coefficients for a particular parameter, input zero. Round off only in the final answer and eound it off to five decimal places if possible. @mesh 1: Z11I1 + Z12I2 = Source1 @mesh 2: Z21I1 + Z22I2 = Source2
- 2. The mesh currents and node voltages in the circuit below are:i1(t) = 3.127 cos(wt - 47.27)i2(t) = 3.914 cos(wt - 101.99)i3(t) = 1.9 cos(wt + 37.53)vs1(t) = 130 cos(wt + 10.08)vs2(t) = 130 cos(wt - 24.98) Where w = 377 rad/sec, z4 = 9.26+21.82j, and z5 = 10.61 + 46j . Determine C2, R3, L3, andZ3 as the sum of two component in series in time domain.For the circuit below with w1 = 5 rads/sec, f1=200, vg(t) = 60 cos(w1t+f1) V, R1 = 10W, R2 = 20W, C1 = 0.1F, L1 =1H, L2 =2H, use the phasors method, and the following methods: nodal analysis with the selected reference – Calculate the node voltages in polar form, then calculate va(t); mesh analysis – also calculate the mesh currents in polar form, then calculate va(t)As shown in the Figure , an external load resistor, R, is connected across the terminal a-b of the DC circuit. Based on Norton’s Theorem, calculate and analyse the circuit shown in the figure ( given V1=60V, V2=20V, R1 = 22ohm, R2 = 34ohm, R3 = 35ohm, R4 = 42ohm,) to determine the current, i, when R = 200 Ω
- The currents in each branch of a two - branched parallel circuit are given by expression i1 = 7.07sin(314t - π/4) A and i2 = 21.2sin((314t - π/3) A. The supply voltage is given by the expression v = 354sin 314t V. Determine the impedance Z1 and Z2. a. Z1 = 50.07 Ω, Z2 = 16.7 Ω b. Z1 = 35.4 Ω, Z2 = 8.35 Ω c. Z1 = 10.0 Ω, Z2 = 10.2 Ω d. Z1 = 14.46 Ω, Z2 = 14.14 ΩConsider the load convention that is used for the RLC elements shown in Figure 2.2 of the text. A. If one says that an inductor absorbs zero real power and positive reactive power. is it (a) True (b) False B. If one says that a capacitor absorbs zero real power and negative reactive power (or delivers positive reactive power), is it (a) False (b) True C. If one says that a (positive-valued) resistor absorbs (positive) real power and zero reactive power, is it (a) True (b) Falsethe equivalent circuit model of a battery where, EMF represents the elec- tromotive force of the battery, R0 is the internal resistance of the battery. When a con- stant terminal voltage v(k) = 4.2V is applied to the battery, the measured current is i(1) = 2.0066A, i(2) = 1.9970A. The voltage is then changed to v(k) = 4V , the mea- sured current is i(3) = 1.0014A, i(4) = 0.9957A. Use the least squares estimation approach to estimate EMF and R0. (Assume that the EMF and R0 remained constant in this process).