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3. Find the current (₂) for the following circuit. (b) 10V (c) 10V 1₁= ? 1₁= ? 292 • 100mΩ (b) 10V (d) 1kV + 1₁= ? İ₁= ? 292 292

3. Find the current (₂) for the following circuit. (b) 10V (c) 10V 1₁= ? 1₁= ? 292 • 100mΩ (b) 10V (d) 1kV + 1₁= ? İ₁= ? 292 292

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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### Question 3: Find the current (\(i_1\)) for the following circuit. #### Circuit Diagrams: **Diagram (a)** - **Voltage Source:** 10V - **Resistor:** 2Ω - **Current Direction:** Left to right through the resistor. - **Task:** Calculate the current \(i_1\). **Diagram (b)** - **Voltage Source:** 10V - **Resistor:** 2Ω - **Current Direction:** Right to left through the resistor. - **Task:** Calculate the current \(i_1\). **Diagram (c)** - **Voltage Source:** 10V - **Resistor:** 100mΩ (0.1Ω) - **Current Direction:** Left to right through the resistor. - **Task:** Calculate the current \(i_1\). **Diagram (d)** - **Voltage Source:** 1kV (1000V) - **Resistor:** 2Ω - **Current Direction:** Right to left through the resistor. - **Task:** Calculate the current \(i_1\). ### Instructions: For each circuit: 1. **Apply Ohm's Law:** \(I = \frac{V}{R}\) - Where \(I\) is the current, \(V\) is the voltage, and \(R\) is the resistance. 2. **Calculate the Current \(i_1\):** Substitute the given values for voltage and resistance into the formula to find the current flowing through each circuit. 3. **Direction Consideration:** Pay attention to the specified direction of the current flow in each diagram.
Transcribed Image Text:### Question 3: Find the current (\(i_1\)) for the following circuit. #### Circuit Diagrams: **Diagram (a)** - **Voltage Source:** 10V - **Resistor:** 2Ω - **Current Direction:** Left to right through the resistor. - **Task:** Calculate the current \(i_1\). **Diagram (b)** - **Voltage Source:** 10V - **Resistor:** 2Ω - **Current Direction:** Right to left through the resistor. - **Task:** Calculate the current \(i_1\). **Diagram (c)** - **Voltage Source:** 10V - **Resistor:** 100mΩ (0.1Ω) - **Current Direction:** Left to right through the resistor. - **Task:** Calculate the current \(i_1\). **Diagram (d)** - **Voltage Source:** 1kV (1000V) - **Resistor:** 2Ω - **Current Direction:** Right to left through the resistor. - **Task:** Calculate the current \(i_1\). ### Instructions: For each circuit: 1. **Apply Ohm's Law:** \(I = \frac{V}{R}\) - Where \(I\) is the current, \(V\) is the voltage, and \(R\) is the resistance. 2. **Calculate the Current \(i_1\):** Substitute the given values for voltage and resistance into the formula to find the current flowing through each circuit. 3. **Direction Consideration:** Pay attention to the specified direction of the current flow in each diagram.
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Step 1

3) To find the current in the following circuits 

 

Current coming out from positive terminal of the battery is taken positive and thus entering into the positive terminal of the battery will be taken as negative.

 

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