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The voltage v(t) shown in Fig. P7.85a is given by the graph shown in Fig. P7.85b. If io(0) = 0, choose the correct equation to represent the power absorbed by the inductor at t = 3 s. Given L = 2 H and R = 40.

The voltage v(t) shown in Fig. P7.85a is given by the graph shown in Fig. P7.85b. If io(0) = 0, choose the correct equation to represent the power absorbed by the inductor at t = 3 s. Given L = 2 H and R = 40.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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The voltage \( v(t) \) shown in Fig. P7.85a is given by the graph shown in Fig. P7.85b. If \( i_0(0) = 0 \), choose the correct equation to represent the power absorbed by the inductor at \( t = 3 \, \text{s} \). Given \( L = 2 \, \text{H} \) and \( R = 4 \, \Omega \). ### Diagram Overview #### (a) Circuit Diagram: - The circuit consists of a voltage source \( v(t) \), an inductor of inductance \( L \, \text{H} \), and a resistor with resistance \( R \, \Omega \) connected in series. #### (b) Graph: Voltage vs. Time - The graph plots voltage \( v(t) \) (in volts) against time \( t \) (in seconds). - The voltage starts at 10 V at \( t = 0 \). - It steps down to -10 V at \( t = 2 \, \text{s} \) and returns to 0 V at \( t = 5 \, \text{s} \). ### Options for Power Absorbed by Inductor: \[ \begin{align*} 1. & \quad P_L(t) = v(t)/R \\ 2. & \quad P_L(t) = v(t) \cdot i_L(t) \\ 3. & \quad P_L(t) = v(t) \cdot i(t)/R \\ 4. & \quad P_L(t) = v(t) \cdot i(t) \\ \end{align*} \]
Transcribed Image Text:The voltage \( v(t) \) shown in Fig. P7.85a is given by the graph shown in Fig. P7.85b. If \( i_0(0) = 0 \), choose the correct equation to represent the power absorbed by the inductor at \( t = 3 \, \text{s} \). Given \( L = 2 \, \text{H} \) and \( R = 4 \, \Omega \). ### Diagram Overview #### (a) Circuit Diagram: - The circuit consists of a voltage source \( v(t) \), an inductor of inductance \( L \, \text{H} \), and a resistor with resistance \( R \, \Omega \) connected in series. #### (b) Graph: Voltage vs. Time - The graph plots voltage \( v(t) \) (in volts) against time \( t \) (in seconds). - The voltage starts at 10 V at \( t = 0 \). - It steps down to -10 V at \( t = 2 \, \text{s} \) and returns to 0 V at \( t = 5 \, \text{s} \). ### Options for Power Absorbed by Inductor: \[ \begin{align*} 1. & \quad P_L(t) = v(t)/R \\ 2. & \quad P_L(t) = v(t) \cdot i_L(t) \\ 3. & \quad P_L(t) = v(t) \cdot i(t)/R \\ 4. & \quad P_L(t) = v(t) \cdot i(t) \\ \end{align*} \]
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