21x 4 mA (k) 12 mA L Find Ix 31,
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Find Ix
![**Electrical Circuit Analysis: Determining \( I_x \)**
**Circuit Description:**
The circuit diagram shown consists of the following elements connected in parallel:
1. A current source providing \(2I_x\), where the direction of the current is upwards.
2. A resistor with a current of 4 mA flowing downwards.
3. Another resistor with a current of 12 mA flowing upwards.
4. A resistor with a current \( I_x \) flowing downwards.
5. A current source providing \(3I_x\), where the direction of the current is downwards.
The goal is to determine the value of the current \( I_x \).
**Steps to Find \( I_x \):**
1. Apply Kirchhoff's Current Law (KCL) at the node (k).
**Understanding the Diagram:**
- The red diamond-shaped symbols represent current sources.
- The blue zigzag lines represent resistors.
- The current values for each component are provided as either fixed currents or as multiples of \( I_x \), which is the unknown current that needs to be calculated.
The equation at node (k) would be:
\[
2I_x + 4 \, \text{mA} = 12 \, \text{mA} + I_x + 3I_x
\]
Analyze and solve this equation to find \( I_x \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb5f3e4ce-f46c-48a5-a74c-9a62ffe7be87%2Ff19c2292-935e-4b47-ba7f-a8328d577761%2Fnhqfm2l_processed.png&w=3840&q=75)
Transcribed Image Text:**Electrical Circuit Analysis: Determining \( I_x \)**
**Circuit Description:**
The circuit diagram shown consists of the following elements connected in parallel:
1. A current source providing \(2I_x\), where the direction of the current is upwards.
2. A resistor with a current of 4 mA flowing downwards.
3. Another resistor with a current of 12 mA flowing upwards.
4. A resistor with a current \( I_x \) flowing downwards.
5. A current source providing \(3I_x\), where the direction of the current is downwards.
The goal is to determine the value of the current \( I_x \).
**Steps to Find \( I_x \):**
1. Apply Kirchhoff's Current Law (KCL) at the node (k).
**Understanding the Diagram:**
- The red diamond-shaped symbols represent current sources.
- The blue zigzag lines represent resistors.
- The current values for each component are provided as either fixed currents or as multiples of \( I_x \), which is the unknown current that needs to be calculated.
The equation at node (k) would be:
\[
2I_x + 4 \, \text{mA} = 12 \, \text{mA} + I_x + 3I_x
\]
Analyze and solve this equation to find \( I_x \).
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