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).

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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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