**Determine Current and Power in Series Circuit****Problem Overview:**In the circuit shown below, determine the current in the circuit. How much power is dissipated by each resistor in the figure?**Circuit Diagram:**The circuit consists of a series connection with the following components:- A voltage source of 9.0 volts (V).- Two resistors: - \( R_1 \) with a resistance of 12 ohms (Ω). - \( R_2 \) with a resistance of 15 ohms (Ω).**Analysis:**1. **Total Resistance in the Circuit:** Since the resistors are in series, the total resistance \( R_t \) is the sum of the resistances: \[ R_t = R_1 + R_2 = 12 \, \Omega + 15 \, \Omega = 27 \, \Omega \]2. **Current in the Circuit:** Using Ohm's Law to determine the current \( I \) in the circuit: \[ I = \frac{V}{R_t} = \frac{9.0 \, \text{V}}{27 \, \Omega} = 0.33 \, \text{A} \, (\text{or } \frac{1}{3} \, \text{A}) \]3. **Power Dissipated by Each Resistor:** - For \( R_1 \): \[ P_1 = I^2 \times R_1 = (0.33 \, \text{A})^2 \times 12 \, \Omega = 0.11 \, \text{W} \] - For \( R_2 \): \[ P_2 = I^2 \times R_2 = (0.33 \, \text{A})^2 \times 15 \, \Omega = 0.165 \, \text{W} \]**Conclusion:**The current in the circuit is 0.33 A. The power dissipated by resistor \( R_1 \) is 0.11 W, and the power dissipated by resistor \( R_2 \) is 0.165 W.

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Answered: In the circuit shown below, determine…

In the circuit shown below, determine the current in the circuit. How much power is dissipated by each resistor in the figure? R₁ = 120 9.0 V R₂= = 15 Ω wwwwww

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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