### Parallel Resistor Circuit Analysis#### Diagram Description:- The diagram features a 9V voltage source connected to two resistors in series, labeled R1 and R2. - R1 is positioned at the top of the circuit, directly connected to the voltage source. - R2 is connected in series with R1, forming a closed loop with the voltage source.#### Question:The first resistor (R1) has a resistance value of 46Ω and the second resistor (R2) has a resistance value of 43Ω. What is the voltage across the first resistor?- **Do NOT include units**- **Round to the hundredths place**To calculate the voltage across R1 in a series circuit, you will need to apply the formula and principles of Ohm's Law and series circuit analysis.#### Solution Guide:1. **Determine Total Resistance (R_total)**: - Since the resistors are in series: \( R_{\text{total}} = R_1 + R_2 \) - \( R_{\text{total}} = 46Ω + 43Ω = 89Ω \)2. **Calculate the Total Current (I)**: - Using Ohm's Law \( V = IR \) rearranged to \( I = V/R \) - The total voltage (V) is 9V. - \( I = \frac{9V}{89Ω} = 0.1011A \) (rounded to four decimal places)3. **Calculate the Voltage across R1 (V_R1)**: - Using Ohm's Law again: \( V_{R1} = I \times R_1 \) - Substitute the values: \( V_{R1} = 0.1011A \times 46Ω ≈ 4.65V \) So, the voltage across the first resistor (R1) is approximately 4.65 volts. **Answer Input**: Enter the calculated voltage value for R1 (e.g., 4.65) without the unit.This calculation helps understand how voltage divides in a series circuit based on the resistance values of the components involved.

Answered: Image /qna-images/answer/f2113672-664e-4bba-9cfd-49cdd90a9d81.jpg

Hill+ R1 -M 9V ww R2 The first resistor has a value of 46 and the second resistor has a value of 43 2. What is the voltage at the first resistor? • Do NOT include units • Round to the hundredths place

Hill+ R1 -M 9V ww R2 The first resistor has a value of 46 and the second resistor has a value of 43 2. What is the voltage at the first resistor? • Do NOT include units • Round to the hundredths place

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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