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Published byKelley Robertson Modified about 1 year ago

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Complex Circuits Some of this, some of that…

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Complex Circuits The main idea in finding total resistance is to make a complex circuit into a series circuit.

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Complex Circuit A complex circuit is a circuit that has some parts like a series circuit and some parts like a parallel circuit. &

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Complex Circuits Consider the following circuit: 8Ω2Ω8Ω2Ω 6Ω 1Ω 9V

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Complex Circuits It looks a lot like a regular series circuit except for this part: 8Ω2Ω8Ω2Ω 6Ω 1Ω 9V

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Complex Circuits This extra loop works like a parallel circuit stuck inside the series circuit. So we gotta get rid of it!! 8Ω2Ω8Ω2Ω 6Ω 1Ω 9V

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Complex Circuits We get rid of it by using the equivalent resistance formula for parallel circuits: 8Ω2Ω8Ω2Ω 6Ω 1Ω 9V

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Complex Circuits We get rid of it by using the equivalent resistance formula for parallel circuits: 8Ω2Ω8Ω2Ω 6Ω 1Ω 9V

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Complex Circuits Now we replace the parallel part with it’s equivalent resistance. Now it’s just a regular series circuit. 1.6Ω 6Ω 1Ω 9V

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Complex Circuits From here, just use the series circuit formulas to find V, I, and R. 1.6Ω 6Ω 1Ω 9V

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Complex Circuits We can go backwards from here to each resistor. Consider the 1.6Ω resistor we ‘created’ to replace the parallel part of the circuit… 1.6Ω

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Complex Circuits What are the Voltage and Current there? 1.6Ω

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Complex Circuits Look at the original parallel loop. What is the current through each resistor? (Remember V=1.68 through the loop) 8Ω2Ω8Ω2Ω

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Complex Circuits 8Ω2Ω8Ω2Ω 8Ω2Ω8Ω2Ω

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8Ω2Ω8Ω2Ω 8Ω2Ω8Ω2Ω

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