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thevenin_problem6

# thevenin_problem6 - Sample Problem Topic Thvenin and Norton...

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Sample Problem Topic: Thévenin and Norton equivalents Statement of Problem: Given the circuit shown in the figure below Find the Thevenin equivalent w.r.t. terminals a and b. Solution In this problem, we have a dependent source. This means we need to solve for the Thevenin equivalent using different methods than when we did with all independent sources. First, we will determine the V TH voltage, which is just the voltage across the 40K Ω resistor. This is also V AB . To find the voltage across terminals a and b, we will use the node voltage circuit analysis technique. We define the terminals as shown. The node voltage equations are shown below: ° 1 4 2000 + ° 1 20000 + ° 1 − ° 2 5000 = 0 ° 2 − ° 1 5000 + ° 2 50000 + ° 2 − ° 3 10000 + 30 ° 1 20000 ± = 0 ° 3 − ° 2 10000 + ° 3 40000 30 ° 1 20000 ± = 0 Solving this system of equations, we find that V1 = 24V V2 = -10V V3 = 280V = V TH Now that we have the “Open circuit” voltage, we use the “short circuit” current method to find the current through the Theven

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thevenin_problem6 - Sample Problem Topic Thvenin and Norton...

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