1) Using your experimental results of I1, I2 and I3. Has Kirchhoff’s current law (KCL) been satisfied? Explain.
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Mathematically, for a node in a circuit, this can be expressed as: \[ I_{\text{entering}} = I_{\text{leaving}} \] Show more…
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Using your Experimental values of I1, I2 and I3. Has Kirchhoff's current law (KCL) been satisfied? Explain. Using your experimental measurements of V1, V2 and V3 verify Kirchhoff's voltage law (KVL) for each loop in circuit 1.
Sri K.
Kirchhoff's Voltage and Current Laws Experiment Objective of Experiment: Verify Kirchhoff's Voltage Law (KVL) and Kirchhoff's Current Law (KCL) using mesh and nodal analysis of the given circuit. Theory & Analysis: 1. Kirchhoff's Voltage Law states that the algebraic sum of all the voltages around any closed path (loop or mesh) is zero. Applying Kirchhoff's voltage law to the first and the second loops in the circuit shown in Figure yields: Loop1: V - V1 - V2 = 0 (1a) Loop2: V2 - V3 = 0 (1b) 2. Kirchhoff's Current Law states that the algebraic sum of all the currents at any node is zero. Applying Kirchhoff's current law to the first four nodes in the circuit shown in Figure yields the following equations: Node a: Is - I1 = 0 (2a) Node b: I1 - I2 - I3 = 0 (2b) Node c: I2 + I3 - I1 = 0 (2c) Procedure: 1. Connect the circuit shown in Figure 1. 2. Set the Variable Power Supply (Vs) to 10 Volts. 3. Measure all voltages and currents in the circuit using the Electric Circuit Studio. 4. Record the measurements voltage and current values as shown below: Branch Voltage/Current [volts] [mA] [Ω] V1, I1 4.3 43 100 V2, I2 5.7 29.1 220 V3, I3 5.7 13.9 470
Figure 9-21 a. Using Kirchhoff's current law, write an equation for the currents I1, I2, and I3 at the node-point, N. b. Express the KCL equation in step a in terms of VR/R and VN/R. c. Write a KVL equation for the loop containing V1, VR1, and VR3. d. Write a KVL equation for the loop containing V2, VR2, and VR3. e. Specify VR1 and VR2 in terms of VN and the known values of V1 and V2. f. Using the values for VR1 and VR2 from step e, write a KCL equation for the currents at the node-point N. g. Solve for the node voltage, VN. h. Using the equations from step e, solve for the voltage drops VR1 and VR2. i. In Fig. 9-21, were all the assumed directions of current correct? How do you know? j. Calculate the currents I1, I2, and I3. k. Rewrite the KVL loop equation for both inner loops using actual voltage values. (Be sure that the resistor voltage drops all have the correct polarity based on the final answers for VR1 and VR2.) l. Based on the actual values for I1, I2, and I3, write a KCL equation for the currents at the node-point, N.
Adi S.
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