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Calculating Current Through a 3Ω Resistor in a Circuit Connected to a 24V Source

This guide walks through the process of finding the current through a 3Ω resistor when the entire resistor combination is connected to a 24V EMF source. We simplify the circuit, identify currents in series and parallel sections, and calculate the necessary voltages using Ohm's Law and the principles of series and parallel circuits. Step-by-step calculations will lead us to determine the current through the 3Ω resistor effectively, giving you a solid understanding of the underlying electrical principles.

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Calculating Current Through a 3Ω Resistor in a Circuit Connected to a 24V Source

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  1. 5Ω • 4Ω • 9Ω • 9Ω • 9Ω • 5Ω • 8Ω • 3Ω • 10.24Ω • 4.24Ω • 6Ω • 6Ω • 6Ω • 9Ω • 9Ω 11 Find the current through the 3Ωresistor if the entire combination is connected across a 24V source of emf. 1. First simplify the circuit 24V 2. Identify the unknown: I3=? 3. Work backwards using what you know about series / parallel • I3=I5 Current is same in series 24V • I3= I8b/c they are equivalent 9.94 V • V4.24= V8= V9 b/c they are parallel 9.94 V • I6= I10.24 Current is same in series 24V 4. Get crackin’ find I10.24 first 2.34 A I10.24= VT/R10.24 = 24/10.24 = 2.34 A 9.94 V 5. To find V8you’ll need to find V4.24 24V 2.34 A V4.24 = I4.24R4.24 = (2.34 A)(4.24) =9.94V

  2. 5Ω • 4Ω • 9Ω • 9Ω • 9Ω • 5Ω • 8Ω • 3Ω • 10.24Ω • 4.24Ω • 6Ω • 6Ω • 6Ω • 9Ω • 9Ω 11 Find the current through the 3Ωresistor if the entire combination is connected across a 24V source of emf. Work backwards using what you know about series / parallel 24V • I3=I5 Current is same in series • I3= I8 b/c they are equivalent • V4.24= V8= V9 b/c they are parallel • I6= I10.24 Current is same in series 6. Now find I8 24V I8 = V8/R8 = 9.94/8 = 1.24 A 2.34 A 9.94 V 7. Realize that I8= I3 Feel victorious! 24V I3 = 1.24 A 2.34 A 9.94 V 24V 2.34 A

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