In the following figure, Vs=9V, R1=100 Q, R2=200 Q, and R3=300 S. Use the equivalent resistance you found in the last problem to determine Is using a single Ohm's Law calculation. What is Is? Vs R1 R2 R3 I2 I3 150 mA 165 mA 45 mA O 54.5 mA
In the following figure, Vs=9V, R1=100 Q, R2=200 Q, and R3=300 S. Use the equivalent resistance you found in the last problem to determine Is using a single Ohm's Law calculation. What is Is? Vs R1 R2 R3 I2 I3 150 mA 165 mA 45 mA O 54.5 mA
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Question
![**Problem Analysis:**
**Given:**
- Supply Voltage (Vs) = 9V
- Resistors: R1 = 100Ω, R2 = 200Ω, R3 = 300Ω
**Task:**
Determine the source current (Is) using the equivalent resistance found in a previous problem.
**Circuit Diagram:**
- The circuit consists of a voltage source (Vs) in series with three resistors (R1, R2, R3) which are connected in parallel.
- Current flows through each resistor: I1 through R1, I2 through R2, I3 through R3.
**Options for Is Calculation:**
- 150 mA
- 165 mA
- 45 mA
- 54.5 mA
**Steps for Calculation:**
1. **Calculate Equivalent Resistance (Req):**
- Since R1, R2, and R3 are in parallel:
\[
\frac{1}{Req} = \frac{1}{R1} + \frac{1}{R2} + \frac{1}{R3}
\]
\[
\frac{1}{Req} = \frac{1}{100} + \frac{1}{200} + \frac{1}{300}
\]
2. **Calculate Is:**
- Using Ohm's Law \(I = \frac{V}{R}\):
- Once Req is calculated, substitute it into the equation:
\[
Is = \frac{Vs}{Req}
\]
3. **Select the Correct Answer**:
- After calculating Is, compare it with the given options.
**Note**: This solution methodology requires access to a previous problem where Req might have been calculated or involves doing the calculation again using the given resistor values.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b5d3f26-cda5-43e5-8223-bfa02258241c%2F17238412-9046-4412-afcf-7466ddea45f1%2F1gnk4vd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Analysis:**
**Given:**
- Supply Voltage (Vs) = 9V
- Resistors: R1 = 100Ω, R2 = 200Ω, R3 = 300Ω
**Task:**
Determine the source current (Is) using the equivalent resistance found in a previous problem.
**Circuit Diagram:**
- The circuit consists of a voltage source (Vs) in series with three resistors (R1, R2, R3) which are connected in parallel.
- Current flows through each resistor: I1 through R1, I2 through R2, I3 through R3.
**Options for Is Calculation:**
- 150 mA
- 165 mA
- 45 mA
- 54.5 mA
**Steps for Calculation:**
1. **Calculate Equivalent Resistance (Req):**
- Since R1, R2, and R3 are in parallel:
\[
\frac{1}{Req} = \frac{1}{R1} + \frac{1}{R2} + \frac{1}{R3}
\]
\[
\frac{1}{Req} = \frac{1}{100} + \frac{1}{200} + \frac{1}{300}
\]
2. **Calculate Is:**
- Using Ohm's Law \(I = \frac{V}{R}\):
- Once Req is calculated, substitute it into the equation:
\[
Is = \frac{Vs}{Req}
\]
3. **Select the Correct Answer**:
- After calculating Is, compare it with the given options.
**Note**: This solution methodology requires access to a previous problem where Req might have been calculated or involves doing the calculation again using the given resistor values.
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