Use node-voltage method to find ib for the circuit shown

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Use node-voltage method to find ib for the circuit shown
The image contains two distinct circuit diagrams and corresponding problems.

**Circuit Problem 1:**
- The instruction reads: "Find \( i_b \) for the circuit shown below."

**Circuit Diagram 1:**
- A 6V voltage source is connected in series with three resistors and a dependent voltage source.
- Resistors: 
  - \( 1 \, \text{k}\Omega \)
  - \( 2 \, \text{k}\Omega \) (positioned vertically in the circuit)
  - \( 3 \, \text{k}\Omega \)
- A dependent voltage source (diamond shape) is at the right side of the circuit, labeled \( 4i_b \), where \( i_b \) is the current flowing through the \( 3 \, \text{k}\Omega \) resistor.

**Circuit Problem 2:**
- The instruction reads: "Find \( v \) for the circuit shown below."

**Circuit Diagram 2:**
- A linear series circuit with components:
  - Resistor: \( 5 \, \text{k}\Omega \)
  - Resistor: \( 20 \, \text{k}\Omega \)
  - Resistor: \( 30 \, \text{k}\Omega \)
- The diagram suggests a voltage to be found at the end of the circuit.

These circuits likely involve analyzing using Ohm's Law, Kirchhoff's laws, or nodal analysis to solve for the unknown current (\( i_b \)) and voltage.
Transcribed Image Text:The image contains two distinct circuit diagrams and corresponding problems. **Circuit Problem 1:** - The instruction reads: "Find \( i_b \) for the circuit shown below." **Circuit Diagram 1:** - A 6V voltage source is connected in series with three resistors and a dependent voltage source. - Resistors: - \( 1 \, \text{k}\Omega \) - \( 2 \, \text{k}\Omega \) (positioned vertically in the circuit) - \( 3 \, \text{k}\Omega \) - A dependent voltage source (diamond shape) is at the right side of the circuit, labeled \( 4i_b \), where \( i_b \) is the current flowing through the \( 3 \, \text{k}\Omega \) resistor. **Circuit Problem 2:** - The instruction reads: "Find \( v \) for the circuit shown below." **Circuit Diagram 2:** - A linear series circuit with components: - Resistor: \( 5 \, \text{k}\Omega \) - Resistor: \( 20 \, \text{k}\Omega \) - Resistor: \( 30 \, \text{k}\Omega \) - The diagram suggests a voltage to be found at the end of the circuit. These circuits likely involve analyzing using Ohm's Law, Kirchhoff's laws, or nodal analysis to solve for the unknown current (\( i_b \)) and voltage.
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