1) Voltage Phasors I Suppose you have a circuit that adds together two time-varying voltage inputs...
1) Voltage Phasors I Suppose you have a circuit that adds together two time-varying voltage inputs to get a time-varying voltage output; ?1 (?) + ?2 (?) = ????(?). The input voltages have the same driving frequency, ?? = 60 ??, but they have different amplitudes and phase angles. ?1 (?) = ?1 cos(?? ? + ?1 ) ?2 (?) = ?2 cos(?? ? + ?2 ) ?1 (?) has an amplitude of ?1 = 5.0 ? and a phase of ?1 = 0.927 ??? at ? = 0, and ?2 (?) has an amplitude of ?2 = 7.0 ? and a phase of ?2 = 3.421 ??? at ? = 0. Find an expression for ????(?).
2) Voltage Phasors II Consider again the situation from the previous problem. Sketch ?1 (?), ?2 (?), and ????(?) from ? = 0 to ? = 0.04 ?. Remember to label your axes.
3) Voltage Phasors III Consider one last time the same situation as above. Illustrate phasor addition by drawing ?1 (?), ?2 (?), and ????(?) at ? = 0.008 ?. Draw the vectors to scale. An appropriate scale might be 1 or 2 ?? equals 1 ?.
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1) Voltage Phasors I Suppose you have a circuit that adds
together two time-varying voltage inputs...
PHYS 212 RECITATION EXERCISE 1: USING PHASORS FOR A DRIVEN RC CIRCUIT We will consider a...
PHYS 212 RECITATION EXERCISE 1: USING PHASORS FOR A DRIVEN RC CIRCUIT We will consider a circuit consisting of a time varying emf in series with a capacitor and resistor. The capacitance and resistance are fixed but we can tune the frequency of the source. In an AC circuit, each element has a "reactance" which can be used to relate the peak current through the element to the peak voltage across the element 1. What does the angular frequency of...
EXERCISE 2: USING PHASORS FOR A DRIVEN RC CIRCUIT 10. On the middle set of axes,...
EXERCISE 2: USING PHASORS FOR A DRIVEN RC CIRCUIT 10. On the middle set of axes, draw phasors for k and ε using the provided ve phasor as a basis for a circuit in which R- 2Xc. Start by deciding what the peak voltage across the capacitor must be compared to the peak voltage across the resistor and then draw the appropriate Vc phasor We will consider a circuit consisting of a time varying emf in series with a capacitor...
Question #01 (30 points) Consider the following circuit. Let us define the phasors in terms of...
Question #01 (30 points) Consider the following circuit. Let us define the phasors in terms of the Sine function. 0.25 F 12 H 222 1H = 0.5 F {52 8 sin (2t + 30°) V Zeq + 1. Draw phasor domain circuit. (4 points) 2. Find Zee for the circuit as seen from input voltage source. (6 points) 3. Draw Zeq phasor. (2 points) 4. Find resistance and reactance for Zeq. Is the reactance capacitive or inductive? (3 points) 5....
(a) Write the relationship between the instantaneous time voltage i(t) = 1, cos(wt+p) and its phasor...
(a) Write the relationship between the instantaneous time voltage i(t) = 1, cos(wt+p) and its phasor transform I. Write phasor transforms of the following voltages and currents. All answers should be in the form of AZB where A is a positive number A 20 and B is given in degrees over the range of -180° <B S 180°. Make sure that you include the units. Show all work to receive partial credit. (6) v(t) = VŽ cos(7t + 1/4 -...
B oth 100 Day PH262 Page 1 of 5 Lab #13 AC Circuits, Part 1 RC...
B oth 100 Day PH262 Page 1 of 5 Lab #13 AC Circuits, Part 1 RC & RL, Phase Measurements THEORY The rotating phase representation for series AC circuits should be familiar from textbook and lecture notes A brief outline of the essential points is provided here. If a series RLC circuit is connected across a source of om which is a sinusoidal function of time, then und all its derivatives will also be inside. Sonce all demits in a...
1. (i) In a circuit, the voltage is given by: Vs (t) 12 cos(50t10) V (a)...
1. (i) In a circuit, the voltage is given by: Vs (t) 12 cos(50t10) V (a) What is the amplitude of the voltage? (b) What is the phase of the voltage? (c) What is the angular frequency (radians/sec.) of the voltage? (d) What is the frequency (in cycles/sec.) of the voltage? (e) Determine vs (t) at time t 2.5ms (ii) Given v1(t)cos(50t 50°) V and v2(t) 12 sin(50t 10°) V, determine the phase angle between the two sinusoids and determine...
2. LRC series circuit. [10 pts.] Consider an LRC series circuit driven by an ac voltage source Vi...
2. LRC series circuit. [10 pts.] Consider an LRC series circuit driven by an ac voltage source Vin Vo cos(wt). (a) Derive an expression for the real ac current in the circuit in terms of L, R, C, and a. (b) Determine the resonant frequency f, and angular frequency w, by direct differentiation of the current amplitude from part (a). Compare your result to LC (c) Determine the Q factor of this circuit in terms of L, R, and C....
Consider an extension cord plugged into wall outlet. We plug in a small washing machine and...
Consider an extension cord plugged into wall outlet.
We plug in a small washing machine and dryer into this extension
cord. Washing machine and its internal motor are shown below.
Dryer and its internal motor are shown below:
The simplified equivalent circuits of the motors are shown
below:
Problem # 01: Numerical Work
Complete following numerical tasks.
Draw the complete circuit of this situation.
Find the phasor and sinusoidal expression for voltage across
washing machine and dryer machine.
Find the...
For the same circuit of your group(group 2), and consider a diode voltage drop of 0.8...
For the same circuit of your group(group 2),
and consider a diode voltage drop of 0.8 and an input signal of 2
volt amplitude (4Vpp) 100 Hz frequency sketch;
a) The time domain input and the output voltages at one
graph.
b) The output voltage versus the input voltage (output as a
function of input). Must show axes with scale and units (you can
use Matlab or excel)
Group 1 1K Group 2 1K Group 3 1K Vin Φ 1K3...
I am currently trying to figure out the experiment below. Please complete Table 1 with an...
I am currently trying to figure out the experiment below. Please
complete Table 1 with an explanation, I appreciate it thank
you! Promise to give thumbs up!
Introduction The phase differences between the output voltage, the voltage across the inductor, the voltage across the capacitor, and the voltage across the resistor will be examined at resonant frequency. The voltage and phase relationship will also be examined for frequencies above and below resonance. Theory An inductor, a capacitor, and a resistor are...
PHYS 212 RECITATION EXERCISE 1: USING PHASORS FOR A DRIVEN RC CIRCUIT We will consider a circuit consisting of a time varying emf in series with a capacitor and resistor. The capacitance and resistance are fixed but we can tune the frequency of the source. In an AC circuit, each element has a "reactance" which can be used to relate the peak current through the element to the peak voltage across the element 1. What does the angular frequency of...
EXERCISE 2: USING PHASORS FOR A DRIVEN RC CIRCUIT 10. On the middle set of axes, draw phasors for k and ε using the provided ve phasor as a basis for a circuit in which R- 2Xc. Start by deciding what the peak voltage across the capacitor must be compared to the peak voltage across the resistor and then draw the appropriate Vc phasor We will consider a circuit consisting of a time varying emf in series with a capacitor...
Question #01 (30 points) Consider the following circuit. Let us define the phasors in terms of the Sine function. 0.25 F 12 H 222 1H = 0.5 F {52 8 sin (2t + 30°) V Zeq + 1. Draw phasor domain circuit. (4 points) 2. Find Zee for the circuit as seen from input voltage source. (6 points) 3. Draw Zeq phasor. (2 points) 4. Find resistance and reactance for Zeq. Is the reactance capacitive or inductive? (3 points) 5....
(a) Write the relationship between the instantaneous time voltage i(t) = 1, cos(wt+p) and its phasor transform I. Write phasor transforms of the following voltages and currents. All answers should be in the form of AZB where A is a positive number A 20 and B is given in degrees over the range of -180° <B S 180°. Make sure that you include the units. Show all work to receive partial credit. (6) v(t) = VŽ cos(7t + 1/4 -...
B oth 100 Day PH262 Page 1 of 5 Lab #13 AC Circuits, Part 1 RC & RL, Phase Measurements THEORY The rotating phase representation for series AC circuits should be familiar from textbook and lecture notes A brief outline of the essential points is provided here. If a series RLC circuit is connected across a source of om which is a sinusoidal function of time, then und all its derivatives will also be inside. Sonce all demits in a...
1. (i) In a circuit, the voltage is given by: Vs (t) 12 cos(50t10) V (a) What is the amplitude of the voltage? (b) What is the phase of the voltage? (c) What is the angular frequency (radians/sec.) of the voltage? (d) What is the frequency (in cycles/sec.) of the voltage? (e) Determine vs (t) at time t 2.5ms (ii) Given v1(t)cos(50t 50°) V and v2(t) 12 sin(50t 10°) V, determine the phase angle between the two sinusoids and determine...
2. LRC series circuit. [10 pts.] Consider an LRC series circuit driven by an ac voltage source Vin Vo cos(wt). (a) Derive an expression for the real ac current in the circuit in terms of L, R, C, and a. (b) Determine the resonant frequency f, and angular frequency w, by direct differentiation of the current amplitude from part (a). Compare your result to LC (c) Determine the Q factor of this circuit in terms of L, R, and C....
Consider an extension cord plugged into wall outlet.
We plug in a small washing machine and dryer into this extension
cord. Washing machine and its internal motor are shown below.
Dryer and its internal motor are shown below:
The simplified equivalent circuits of the motors are shown
below:
Problem # 01: Numerical Work
Complete following numerical tasks.
Draw the complete circuit of this situation.
Find the phasor and sinusoidal expression for voltage across
washing machine and dryer machine.
Find the...
For the same circuit of your group(group 2),
and consider a diode voltage drop of 0.8 and an input signal of 2
volt amplitude (4Vpp) 100 Hz frequency sketch;
a) The time domain input and the output voltages at one
graph.
b) The output voltage versus the input voltage (output as a
function of input). Must show axes with scale and units (you can
use Matlab or excel)
Group 1 1K Group 2 1K Group 3 1K Vin Φ 1K3...
I am currently trying to figure out the experiment below. Please
complete Table 1 with an explanation, I appreciate it thank
you! Promise to give thumbs up!
Introduction The phase differences between the output voltage, the voltage across the inductor, the voltage across the capacitor, and the voltage across the resistor will be examined at resonant frequency. The voltage and phase relationship will also be examined for frequencies above and below resonance. Theory An inductor, a capacitor, and a resistor are...
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