**Electrical Circuit Analysis: Calculating Current through Resistors****Description of the Circuit:**The image depicts an electrical circuit with three resistors, R1, R2, and R3. These resistors are connected in a combination of series and parallel configurations with a power source.**Configuration:**- Resistor R1 (5 ohms) and Resistor R2 (3 ohms) are connected in series with each other.- Resistor R3 (7 ohms) is connected in parallel with the series combination of R1 and R2.**Given Values:**- R1 = 5 ohms- R2 = 3 ohms- R3 = 7 ohms**Additional Information:**- Power consumption of R2 = 12 W**Objective:**Calculate the current through Resistor R3.**Step-by-Step Solution:**1. **Determine the voltage across R2:** The power consumption formula is \( P = I^2 \cdot R \). Given that \( P = 12 \,W \) and \( R = 3 \, \Omega \) (for R2), \[ 12 = I_{R2}^2 \cdot 3 \] Solving for \( I_{R2} \): \[ I_{R2}^2 = \frac{12}{3} = 4 \] \[ I_{R2} = \sqrt{4} = 2 \,A \] Thus, the current through R2 is 2 A.2. **Calculate the voltage across R2 (V_R2):** Using Ohm's Law \( V = I \cdot R \): \[ V_{R2} = I_{R2} \cdot R2 = 2 \, A \cdot 3 \, \Omega = 6 \, V \]3. **Determine the voltage across R3 (V_R3):** Since R3 is in parallel with the series combination of R1 and R2, the voltage across R3 is the same as the voltage across the series combination (which is 6 V).4. **Calculate the current through R3 (I_R3):** Again, using Ohm's Law \( I = \frac

Given: Power, P2 =12 W Required: current through R3

Answered: R1 TE R3 ww R2 The values of the…

R1 TE R3 ww R2 The values of the resistors in this circuit are: R1 = 5 ohms R2 = 3 ohms R3 = 7 ohms The power consumption of R2 is 12 W. Calculate the current through R3.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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