R3 900 R1 20 V What is the current through resistor R1 in the circuit shown? 10V. 300 R2 600

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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**Educational Website Transcription**

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**Question:**

What is the current through resistor \( R_1 \) in the circuit shown?

**Circuit Explanation:**

The image depicts an electrical circuit with three resistors and two voltage sources:

- **Resistors:**
  - \( R_1 \): 30 Ω
  - \( R_2 \): 60 Ω
  - \( R_3 \): 90 Ω

- **Voltage Sources:**
  - 10 V is across \( R_1 \).
  - 20 V is across \( R_2 \).

**Circuit Configuration:**

The resistors are arranged in a parallel combination. Each voltage source is applied across its respective resistor, suggesting multiple potential branches through which current can flow.

**Problem Objective:**

Determine the current flowing through resistor \( R_1 \). 

**Key Concept:**

- Use Ohm's Law: \( I = \frac{V}{R} \) to calculate the current through each resistor based on the voltage across it.

This exercise illustrates principles of current distribution in parallel circuits.
Transcribed Image Text:**Educational Website Transcription** --- **Question:** What is the current through resistor \( R_1 \) in the circuit shown? **Circuit Explanation:** The image depicts an electrical circuit with three resistors and two voltage sources: - **Resistors:** - \( R_1 \): 30 Ω - \( R_2 \): 60 Ω - \( R_3 \): 90 Ω - **Voltage Sources:** - 10 V is across \( R_1 \). - 20 V is across \( R_2 \). **Circuit Configuration:** The resistors are arranged in a parallel combination. Each voltage source is applied across its respective resistor, suggesting multiple potential branches through which current can flow. **Problem Objective:** Determine the current flowing through resistor \( R_1 \). **Key Concept:** - Use Ohm's Law: \( I = \frac{V}{R} \) to calculate the current through each resistor based on the voltage across it. This exercise illustrates principles of current distribution in parallel circuits.
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