Lab 2- Nodal Analysis

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Toronto Metropolitan University *

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Electrical Engineering

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Dec 6, 2023

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Lab 2- Nodal Analysis Objective: To use nodal and mesh analysis to solve a circuit, then verify the results experimentally. Procedure: 1. Connect the circuit shown in Figure 23. The values of the resistors are given below in Table, and the source voltage (vS) is 20 V 2. Calculate all the component currents (i1 through i5), all the component voltages (v1 through v5) using circuit theories you have learned in class, and record your results in Table . Then, measure all the component currents (i1 through i5), all the component voltages (v1 through v5) and record your results in Table 7. 3. Take ve to be the reference node (0 V). To do that, connect the COM terminal of the voltmeter to node e. First, calculate the node voltages (va, vb, vc and vd) using circuit theories you have learned in the class. Then, measure the node voltages (va, vb, vc and vd) by connecting the V terminal of the voltmeter to each of the nodes while keeping the COM terminal connected to node e. Record your results in Table 7
Table 7 Question 1: Write the Kirchhoff Current Law (KCL) equation for node b. How do the measured values compare with the values you calculated? Node b 𝑖1 − 𝑖2 − 𝑖3 = 0 𝑖1 = 𝑖2 + 𝑖3 𝑖1 = 0. 624 + 0. 299 0.923A 𝑖1 = There is a direct correlation between the calculated value of i 1 through Kirchhoff's current law (0.923A) with the measured value of i 1 from the power supply (0.920A). This proves that Kirchoff's current law is applied in our circuit. Part 2: Write the Kirchhoff Voltage Law (KVL) equation for the loop on the right. How do the measured values compare with the values you calculated? Loop right 𝑣3 + 𝑣4 − 𝑣2 = 0 𝑣2 = 𝑣3 + 𝑣4 𝑣2 = 2. 988 + 6. 451 𝑣2 = 9. 439 There is a direct correlation between the calculated value of v 2 through Kirchhoff's current law (9.439V) with the measured value of v 2 from the power supply (9.441V). This proves that Kirchoff's voltage law is applied in our circuit. See the appendix below for further calculations. i 1 i 2 i 3 i 4 i 5 v 1 v 2 v 3 v 4 v 5 v a v b v c v c Calculated Values 0.920 0.626 0.294 0.294 0.920 4.32 9.39 2.94 6.47 6.26 20.00 15.67 12.73 6.26 Measured Values 0.924 0.624 0.299 0.287 0.933 4.211 9.441 2.988 6.451 6.317 20.00 15.72 12.74 6.319
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