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What is the value of the resistance, R, in Ohm?

What is the value of the resistance, R, in Ohm?

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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### Problem Statement: Determine the value of the resistance, \( R \), in Ohms for the given circuit. ### Circuit Diagram: The circuit consists of a voltage source, \( v_s(t) \), a resistor \( R \), and an inductor with an inductance of 15 H. There are two voltage parameters: \( v_s(t) \) and \( v_0(t) \). ### Voltage Definitions: - \( v_s(t) = -3 + 6u(t) \) V - \( v_0(t) = +6e^{-0.8t} u(t) \) V Here, \( u(t) \) represents the unit step function. ### Graph Description: - The graph plots \( v_s(t) \) and \( v_0(t) \) over time (\( t \) in seconds). - \( v_s(t) \) is shown in red, while \( v_0(t) \) is shown in blue. - The time axis ranges from -1 to 5 seconds, and the voltage axis ranges from -10 to 10 volts. - At \( t = 0 \), \( v_s(t) \) jumps from -3 V to 3 V, remaining constant afterwards. - \( v_0(t) \) starts at 6 V for \( t = 0 \) and asymptotically approaches 0 V, demonstrating an exponential decay. ### Analysis Objective: Use the given information and graphs to determine the resistance \( R \) in the circuit.
Transcribed Image Text:### Problem Statement: Determine the value of the resistance, \( R \), in Ohms for the given circuit. ### Circuit Diagram: The circuit consists of a voltage source, \( v_s(t) \), a resistor \( R \), and an inductor with an inductance of 15 H. There are two voltage parameters: \( v_s(t) \) and \( v_0(t) \). ### Voltage Definitions: - \( v_s(t) = -3 + 6u(t) \) V - \( v_0(t) = +6e^{-0.8t} u(t) \) V Here, \( u(t) \) represents the unit step function. ### Graph Description: - The graph plots \( v_s(t) \) and \( v_0(t) \) over time (\( t \) in seconds). - \( v_s(t) \) is shown in red, while \( v_0(t) \) is shown in blue. - The time axis ranges from -1 to 5 seconds, and the voltage axis ranges from -10 to 10 volts. - At \( t = 0 \), \( v_s(t) \) jumps from -3 V to 3 V, remaining constant afterwards. - \( v_0(t) \) starts at 6 V for \( t = 0 \) and asymptotically approaches 0 V, demonstrating an exponential decay. ### Analysis Objective: Use the given information and graphs to determine the resistance \( R \) in the circuit.
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