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FIND Current through R1  Current through R2   please answer the following question with clear explanation, show all the work

FIND Current through R1  Current through R2   please answer the following question with clear explanation, show all the work

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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FIND Current through R1 

Current through R2

 

please answer the following question with clear explanation, show all the work

**Circuit Diagram Explanation** This image depicts an electrical circuit with three resistors, \( R_1 \), \( R_2 \), and \( R_3 \), connected in parallel to a voltage source \( E \). - **Voltage Source \( E \)**: The circuit begins with a voltage source on the left side, marked by the positive (+) and negative (-) terminals. - **Current Flow**: The current splits into three paths due to the parallel arrangement of the resistors. - The total current entering the circuit is 12.6 mA. - The current \( I_1 \) flows through \( R_1 \). - The current \( I_2 \) flows through \( R_2 \). - A total of 4 mA flows through \( R_3 \). - **Current Arrows**: - The arrow labeled 12.6 mA represents the total current entering the circuit from the voltage source. - The downwards arrows from \( I_1 \) and \( I_2 \) indicate the direction of current flow through resistors \( R_1 \) and \( R_2 \), respectively. - An arrow indicating 8.5 mA is shown exiting the circuit towards the voltage source, suggesting the path taken after passing through the resistors. This diagram exemplifies the behavior of current in a parallel resistive circuit, where the total current is the sum of currents through each branch.
Transcribed Image Text:**Circuit Diagram Explanation** This image depicts an electrical circuit with three resistors, \( R_1 \), \( R_2 \), and \( R_3 \), connected in parallel to a voltage source \( E \). - **Voltage Source \( E \)**: The circuit begins with a voltage source on the left side, marked by the positive (+) and negative (-) terminals. - **Current Flow**: The current splits into three paths due to the parallel arrangement of the resistors. - The total current entering the circuit is 12.6 mA. - The current \( I_1 \) flows through \( R_1 \). - The current \( I_2 \) flows through \( R_2 \). - A total of 4 mA flows through \( R_3 \). - **Current Arrows**: - The arrow labeled 12.6 mA represents the total current entering the circuit from the voltage source. - The downwards arrows from \( I_1 \) and \( I_2 \) indicate the direction of current flow through resistors \( R_1 \) and \( R_2 \), respectively. - An arrow indicating 8.5 mA is shown exiting the circuit towards the voltage source, suggesting the path taken after passing through the resistors. This diagram exemplifies the behavior of current in a parallel resistive circuit, where the total current is the sum of currents through each branch.
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