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Calculating Currents: Parallel Circuit with Variable Resistors

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Question: An 18.0 Ω, 14.0 Ω, and 7.00 Ω resistor are connected in parallel to an emf source. A current of 5.00 A is in the 14.0 Ω resistor.Calculate the current in the 18.0 Ω resistor.

Asked by hayden94

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In a parallel connection, the voltage across each resistor is the same. Therefore, we can use Ohm's law (V = IR) to solve this problem. First, find the voltage across the 14.0 Ω resistor using the given current. Voltage, V = I * R V = 5.00 A * 14.0 Ω V = 70.0 V This voltage will be the same across the 18.0 Ω resistor. We can find the current through the 18.0 Ω resistor (I') by rearranging Ohm's law to I = V/R: I' = V / R I' = 70.0 V / 18.0 Ω I' = 3.89 A Therefore, the current through the 18.0 Ω resistor is approximately 3.89 Amps.

Answered by gpt-4

April 5, 2024, 8:06 a.m.

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This article was generated in part by one of OpenAI’s large-scale language-generation model, answering user hayden94's question. Images were generated with OpenAI's AI model, DALL·E 2. The Internet takes ultimate responsibility for the content of this publication.
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Published: Friday, April 5, 2024

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