10-13-11 Thevenin and Norton Equivalent Circuits

# Eq 1 thevenins voltage eq 2 nortons current eq 3 the

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Eq 1. Thevenin’s voltage Eq 2. Norton’s current Eq 3. The equivalence of the resistors in the various circuits.

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Procedure I. Thevenin’s and Norton’s Equivalent Circuits For this section of the lab, we were given a circuit (Fig. 1) for which we measured values (Table 1) and found an equivalent, simpler circuit using Thevenin’s Theory. After that, we calculated and measured the values in Table 2, finding how close our equivalent circuit was to the ideal version. Figure 1. The circuit given For Table 1, the values are described as such: – The voltage across nodes A and B – The current throw a short across nodes A and B – The total resistance – The current through a 510Ω resistor across A and B Table 1. The various values before the Thevenin Equivalent circuit was built Value Calculated Measured Percent Error 9.17 V 9.30 V 1.40 % 15.61 mA 15.61 mA 0.90 % 635.14 Ω 625 Ω 1.62% 8.734 mA 8.73 mA 0.04% Next, we had to find the equivalent resistance, as view from AB without regard to the voltage source, which was done with the following calculations: However, the closest resistor we could find was 625Ω. With this value, we needed to find another voltage equivalent which will produce the same amount of current through this resistor as that which flowed through the circuit initially. This yielded the Thevenin Equivalent Circuit, as shown in Figure 2:
Figure 2. The Thevenin equivalent circuit For Table 2, the values are described as such: – The voltage across nodes A and B in the equivalent circuit

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