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5 apply loop equations junction equations ohms law

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5) Apply loop equations, junction equations, Ohm’s Law, power equations to search for desired variable.
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Circuits Kirchhoff’s Rules For the following circuit diagram, we eventually want to know the power dissipation by the 8 Ω resistor. I 1 I 2 I 3 We can identify the directions for currents at the top junction: Choose up for I 1 . To the left for I 2 . <-want To the left for I 3 . Now, by applying the junction rule we see that: I 3 = I 1 + I 2
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Circuits I 1 I 2 I 3 We can make an inner left loop moving counterclockwise. Now, by applying the loop rule on left inner loop we get: Let’s choose voltage loop directions (need I 1 and I 2 ): Rise Drop Drop
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Circuits I 1 I 2 I 3 Rise Drop Rise We can make an inner right loop moving counterclockwise. Now, by applying the loop rule on right inner loop we get: V loop ! = " V 12 V + " V 4 # + " V 6 # + " V 4 V = 0 Drop
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Circuits
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Clicker Question 27B-1 For the following circuit diagram (assuming all straight lines to be ideal wires), the current through the 10 Ω resistor will be: A) 0 Amps. B) Greater than 0 Amps but less than 1 Amp. C) Exactly 1 Amp. D) Greater than 1 Amp but less than 10 Amps. E) Greater than 10 Amps.
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Circuits Back to our original circuit, what if we had chosen one of the current directions incorrectly when we first performed the Kirchhoff Junction Rule? It’s no problem. I 1 I 2 I 3 I 1 actually went down, not up (you will find a negative value for I 1 at the end).
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