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I Review I Const Learning Goal: To analyze an RL circuit to determine the initial current through an inductor, the time constant, and the expression for the natural response of the inductor current, and to use the expression for the inductor current to find other circuit quantities, such as current, voltage, power, or energy. Part A For the given circuit (Figure 1), assume the make-before-break switch has been up for a long time and moves down at t = 0. Find the initial current through the inductor. Assume that I, = 4.0 mA, R1 = 36.0 kN , R2 = 41.0 kn , and L = 5.0 mH. The natural response of an RL circuit is the response of the inductor current to the sudden removal of a DC source. When this occurs, the inductor releases the stored energy. Express your answer to three significant figures and include the appropriate units. • View Available Hint(s) O IO ? i(0-) = i(0*) == Value Units Submit Part B - Find the time constant, T, after t= 0 The diagram (Figure 2)shows the circuit the instant after t = 0. Find the time constant, T. Assume that I, = 4.0 mA, R1 = 36.0 k , R2 = 41.0 k , and L = 5.0 mH. Express your answer to three significant figures and include the appropriate units. • View Available Hint(s) O I T= Value Units Figure (< 1 of 2 > Submit Part C- For the original circuit, find an expression for the inductor current, i(t), for t20 t=0 Enter an expression for the inductor current, i (t), for t >0. Express your answer as an algebraic expression in terms of I, R1, R2, and L. > View Available Hint(s) R VO TAEO T rec ? i(t) =

I Review I Const Learning Goal: To analyze an RL circuit to determine the initial current through an inductor, the time constant, and the expression for the natural response of the inductor current, and to use the expression for the inductor current to find other circuit quantities, such as current, voltage, power, or energy. Part A For the given circuit (Figure 1), assume the make-before-break switch has been up for a long time and moves down at t = 0. Find the initial current through the inductor. Assume that I, = 4.0 mA, R1 = 36.0 kN , R2 = 41.0 kn , and L = 5.0 mH. The natural response of an RL circuit is the response of the inductor current to the sudden removal of a DC source. When this occurs, the inductor releases the stored energy. Express your answer to three significant figures and include the appropriate units. • View Available Hint(s) O IO ? i(0-) = i(0*) == Value Units Submit Part B - Find the time constant, T, after t= 0 The diagram (Figure 2)shows the circuit the instant after t = 0. Find the time constant, T. Assume that I, = 4.0 mA, R1 = 36.0 k , R2 = 41.0 k , and L = 5.0 mH. Express your answer to three significant figures and include the appropriate units. • View Available Hint(s) O I T= Value Units Figure (< 1 of 2 > Submit Part C- For the original circuit, find an expression for the inductor current, i(t), for t20 t=0 Enter an expression for the inductor current, i (t), for t >0. Express your answer as an algebraic expression in terms of I, R1, R2, and L. > View Available Hint(s) R VO TAEO T rec ? i(t) =

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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Please help me with parts a, b, c, and d

I Review I Constants Learning Goal: To analyze an RL circuit to determine the initial current through an inductor, the time constant, and the expression for the natural response of the inductor current, and to use the expression for the inductor current to find other circuit quantities, such as current, voltage, power, or energy. Part A For the given circuit (Figure 1), assume the make-before-break switch has been up for a long time and moves down at t = 0. Find the initial current through the inductor. Assume that Is = 4.0 mA , R1 = 36.0 kN , R2 = 41.0 kN , and L = 5.0 mH . The natural response of an RL circuit is the response of the inductor current to the sudden removal of a DC source. When this occurs, the inductor releases the stored energy. Express your answer to three significant figures and include the appropriate units. • View Available Hint(s) i(0-) = i(0*) : Value Units = = Submit Part B - Find the time constant, T, after t = 0 The diagram (Figure 2)shows the circuit the instant after t = 0. Find the time constant, T. Assume that I, = 4.0 mA , R1 = 36.0 kN , R2 = 41.0 kN , and L = 5.0 mH . Express your answer to three significant figures and include the appropriate units. • View Available Hint(s) HA Value Units T = Figure 1 of 2 Submit Part C - For the original circuit, find an expression for the inductor current, i(t), for t>0 t= 0 Enter an expression for the inductor current, i (t), for t > 0. Express your answer as an algebraic expression in terms of Is, R1, R2, and L. • View Available Hint(s) vec i(t) =
Transcribed Image Text:I Review I Constants Learning Goal: To analyze an RL circuit to determine the initial current through an inductor, the time constant, and the expression for the natural response of the inductor current, and to use the expression for the inductor current to find other circuit quantities, such as current, voltage, power, or energy. Part A For the given circuit (Figure 1), assume the make-before-break switch has been up for a long time and moves down at t = 0. Find the initial current through the inductor. Assume that Is = 4.0 mA , R1 = 36.0 kN , R2 = 41.0 kN , and L = 5.0 mH . The natural response of an RL circuit is the response of the inductor current to the sudden removal of a DC source. When this occurs, the inductor releases the stored energy. Express your answer to three significant figures and include the appropriate units. • View Available Hint(s) i(0-) = i(0*) : Value Units = = Submit Part B - Find the time constant, T, after t = 0 The diagram (Figure 2)shows the circuit the instant after t = 0. Find the time constant, T. Assume that I, = 4.0 mA , R1 = 36.0 kN , R2 = 41.0 kN , and L = 5.0 mH . Express your answer to three significant figures and include the appropriate units. • View Available Hint(s) HA Value Units T = Figure 1 of 2 Submit Part C - For the original circuit, find an expression for the inductor current, i(t), for t>0 t= 0 Enter an expression for the inductor current, i (t), for t > 0. Express your answer as an algebraic expression in terms of Is, R1, R2, and L. • View Available Hint(s) vec i(t) =
Learning Goal: To analyze an RL circuit to determine the initial current through an inductor, the time constant, and the expression for the natural response of the inductor current, and to use the expression for the inductor current to find other circuit quantities, such as current, voltage, power, or energy. µA ? T = Value Units The natural response of an RL circuit is the response of the inductor current to the sudden removal of a DC source. When this occurs, the inductor releases the stored energy. Submit Part C - For the original circuit, find an expression for the inductor current, i(t), for t>0 Enter an expression for the inductor current, i (t), for t > 0. Express your answer as an algebraic expression in terms of Is, R1, R2, and L. • View Available Hint(s) vec ? i(t) = Submit Part D - For the original circuit, find an expression for the resistor voltage, v(t), for t> 0+ What is the expression for the voltage v (t) in V across resistor R1 for t > 0+? Choose the correct answer. Figure 2 of 2 • View Available Hint(s) R2 * (R1/(R1 + R2) * Is)e(-t/(L/(R +R2))) R1 * (R1/(R1 + R2) * I,)e(-t/(L/(R1+R2))) L v(t) = V O -R1 * (R1/(R1 + R2) * Is)e(-t/(L/(R;+R2))) i(0) O -L * ((R1 + R2)/L)(R1/(R1 + R2) * I,)e(-t/(L/(R+R2))) R2 Submit
Transcribed Image Text:Learning Goal: To analyze an RL circuit to determine the initial current through an inductor, the time constant, and the expression for the natural response of the inductor current, and to use the expression for the inductor current to find other circuit quantities, such as current, voltage, power, or energy. µA ? T = Value Units The natural response of an RL circuit is the response of the inductor current to the sudden removal of a DC source. When this occurs, the inductor releases the stored energy. Submit Part C - For the original circuit, find an expression for the inductor current, i(t), for t>0 Enter an expression for the inductor current, i (t), for t > 0. Express your answer as an algebraic expression in terms of Is, R1, R2, and L. • View Available Hint(s) vec ? i(t) = Submit Part D - For the original circuit, find an expression for the resistor voltage, v(t), for t> 0+ What is the expression for the voltage v (t) in V across resistor R1 for t > 0+? Choose the correct answer. Figure 2 of 2 • View Available Hint(s) R2 * (R1/(R1 + R2) * Is)e(-t/(L/(R +R2))) R1 * (R1/(R1 + R2) * I,)e(-t/(L/(R1+R2))) L v(t) = V O -R1 * (R1/(R1 + R2) * Is)e(-t/(L/(R;+R2))) i(0) O -L * ((R1 + R2)/L)(R1/(R1 + R2) * I,)e(-t/(L/(R+R2))) R2 Submit
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