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23. (a) A 12V DC voltage source (of negligible output resistance) is suddenly connected across a series combination of a resistor R = 2002 and an inductor L = 100mH. (i) Calculate the initial values of resistor voltage, inductor voltage and circuit current just after the voltage source has been connected. (ii) Calculate the final values of resistor voltage, inductor voltage and circuit current after a very long time has elapsed after connecting the voltage source. (iii) Sketch fully-labelled plots of the resistor voltage, inductor voltage and circuit current after connecting the DC voltage source (graph paper is not required, neat sketches using a ruler are fine).

23. (a) A 12V DC voltage source (of negligible output resistance) is suddenly connected across a series combination of a resistor R = 2002 and an inductor L = 100mH. (i) Calculate the initial values of resistor voltage, inductor voltage and circuit current just after the voltage source has been connected. (ii) Calculate the final values of resistor voltage, inductor voltage and circuit current after a very long time has elapsed after connecting the voltage source. (iii) Sketch fully-labelled plots of the resistor voltage, inductor voltage and circuit current after connecting the DC voltage source (graph paper is not required, neat sketches using a ruler are fine).

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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Q3,a) parts 1,2 and 3

Q3. (a) A 12V DC voltage source (of negligible output resistance) is suddenly connected across a series combination of a resistor R = 2002 and an inductor L = 100mH. (i) Calculate the initial values of resistor voltage, inductor voltage and circuit current just after the voltage source has been connected. (ii) Calculate the final values of resistor voltage, inductor voltage and circuit current after a very long time has elapsed after connecting the voltage source. (iii) Sketch fully-labelled plots of the resistor voltage, inductor voltage and circuit current after connecting the DC voltage source (graph paper is not required, neat sketches using a ruler are fine). (iv) Calculate the time at which the circuit current reaches 90% of its steady-state value. (b) A 200mA, 50Hz AC current source (of negligible output impedance) is connected across the same RL series combination of Q3(a). (i) Calculate the resistor voltage, inductor voltage and source voltage, all as phasors (you may ignore the transient effects which occur just after the AC source has been connected). (ii) Sketch the voltage phasors of Q3(b)(i) on a fully-labelled phasor diagram, together with the source current 200mA/0° as a phase reference (graph paper is not required). (iii) Calculate the maximum rms power that can be provided by this AC source and, by first calculating the circuit's power factor, calculate the rms power dissipated in the resistor. (iv) Explain how all of the available source power can be dissipated in the resistor by adding a single component and deduce the type and value of this component.
Transcribed Image Text:Q3. (a) A 12V DC voltage source (of negligible output resistance) is suddenly connected across a series combination of a resistor R = 2002 and an inductor L = 100mH. (i) Calculate the initial values of resistor voltage, inductor voltage and circuit current just after the voltage source has been connected. (ii) Calculate the final values of resistor voltage, inductor voltage and circuit current after a very long time has elapsed after connecting the voltage source. (iii) Sketch fully-labelled plots of the resistor voltage, inductor voltage and circuit current after connecting the DC voltage source (graph paper is not required, neat sketches using a ruler are fine). (iv) Calculate the time at which the circuit current reaches 90% of its steady-state value. (b) A 200mA, 50Hz AC current source (of negligible output impedance) is connected across the same RL series combination of Q3(a). (i) Calculate the resistor voltage, inductor voltage and source voltage, all as phasors (you may ignore the transient effects which occur just after the AC source has been connected). (ii) Sketch the voltage phasors of Q3(b)(i) on a fully-labelled phasor diagram, together with the source current 200mA/0° as a phase reference (graph paper is not required). (iii) Calculate the maximum rms power that can be provided by this AC source and, by first calculating the circuit's power factor, calculate the rms power dissipated in the resistor. (iv) Explain how all of the available source power can be dissipated in the resistor by adding a single component and deduce the type and value of this component.
Q3. (a) A 12V DC voltage source (of negligible output resistance) is suddenly connected across a series combination of a resistor R = 2002 and an inductor L = 100mH. (i) Calculate the initial values of resistor voltage, inductor voltage and circuit current just after the voltage source has been connected. (ii) Calculate the final values of resistor voltage, inductor voltage and circuit current after a very long time has elapsed after connecting the voltage source. (iii) Sketch fully-labelled plots of the resistor voltage, inductor voltage and circuit current after connecting the DC voltage source (graph paper is not required, neat sketches using a ruler are fine). (iv) Calculate the time at which the circuit current reaches 90% of its steady-state value. (b) A 200mA, 50Hz AC current source (of negligible output impedance) is connected across the same RL series combination of Q3(a). (i) Calculate the resistor voltage, inductor voltage and source voltage, all as phasors (you may ignore the transient effects which occur just after the AC source has been connected). (ii) Sketch the voltage phasors of Q3(b)(i) on a fully-labelled phasor diagram, together with the source current 200mA/0° as a phase reference (graph paper is not required). (iii) Calculate the maximum rms power that can be provided by this AC source and, by first calculating the circuit's power factor, calculate the rms power dissipated in the resistor. (iv) Explain how all of the available source power can be dissipated in the resistor by adding a single component and deduce the type and value of this component.
Transcribed Image Text:Q3. (a) A 12V DC voltage source (of negligible output resistance) is suddenly connected across a series combination of a resistor R = 2002 and an inductor L = 100mH. (i) Calculate the initial values of resistor voltage, inductor voltage and circuit current just after the voltage source has been connected. (ii) Calculate the final values of resistor voltage, inductor voltage and circuit current after a very long time has elapsed after connecting the voltage source. (iii) Sketch fully-labelled plots of the resistor voltage, inductor voltage and circuit current after connecting the DC voltage source (graph paper is not required, neat sketches using a ruler are fine). (iv) Calculate the time at which the circuit current reaches 90% of its steady-state value. (b) A 200mA, 50Hz AC current source (of negligible output impedance) is connected across the same RL series combination of Q3(a). (i) Calculate the resistor voltage, inductor voltage and source voltage, all as phasors (you may ignore the transient effects which occur just after the AC source has been connected). (ii) Sketch the voltage phasors of Q3(b)(i) on a fully-labelled phasor diagram, together with the source current 200mA/0° as a phase reference (graph paper is not required). (iii) Calculate the maximum rms power that can be provided by this AC source and, by first calculating the circuit's power factor, calculate the rms power dissipated in the resistor. (iv) Explain how all of the available source power can be dissipated in the resistor by adding a single component and deduce the type and value of this component.
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