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nodal_analysis_problem3 - Ohm ’ s law if we inspect this...

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Sample Problem Topic: Nodal Analysis Statement of Problem: Given the circuit shown in the figure below Find a) The value of i a b) The value of i b c) The value of V 0 Solution This solution uses the Node Voltage/Nodal Analysis technique. We will define nodes and solve linear equations using these defined nodes as reference. Define v 1 : 50V 4 Ω 20 Ω 80 Ω v 1 i a i b Create the linear equation. The equation is based using the bottom node as ground, or 0. 𝑣 1 50 𝑉 4 + 𝑣 1 20 + 𝑣 1 80 = 0 Each component is defined by following the v 1 node to ground. Looking closely, we are taking a voltage, and dividing by a resistance. Using
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Unformatted text preview: Ohm ’ s law, if we inspect this more closely, we are defining currents. V = IR, rearranging this equation, we get: V/R = I Thus, if there were a current source in the circuit, we would simply add the value to the equation. c) If we solve the function above, we find that v1 = 40V. Knowing the voltage at the node, and knowing that parallel resistors share the same voltage drop, we can simply use Ohm ’ s law to determine the currents through each branch. V = I *R 40 = I * 80 Ω 40 = I * 20 Ω b) I 80 Ω = .5A a) I 20 Ω = 2A...
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