In the given circuit, V(t)=12cos(2000t+45)V, R1=R2=2Ω, L1=L2=L3=3mH and C1=250μF. You are required to find the Thevenin equivalent of this circuit using phasors. If you write the Thevenin voltage, Vth, in phasor form, what is the magnitude of this phasor? Put your answer in the box below without units.
Answers
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
In the given circuit, V(t)=12cos(2000t+45)V, R1=R2=2Ω, L1=L2=L3=3mH and C1=250μF. You are required to find the Thevenin equivalent of this circuit using phasors.
a. If you write the Thevenin voltage, Vth, in phasor form, what is the magnitude of this phasor? Put your answer in the box below without units.
b. What is the value of the angle associated with the phasor Vth, in degrees?
c. Now, calculate the Thevenin impedance, Zth. What is the magnitude of this phasor?
d. What is the angle associated with the phasor Zth, in degrees?
Answer:
Vth = 6 < 45° V
Zth = 1.414 < 45°
a. The magnitude of the Thevenin voltage is 6 V
b. The phase angle of the Thevenin voltage is 45°
c. The magnitude of the Thevenin impedance is 1.414 V
d. The phase angle of the Thevenin impedance is 45°
Explanation:
The given voltage is
V(t)=12cos(2000t+45)
In phasor form,
V(t) = 12 < 45° V
So the magnitude of voltage is 12 V and the phase angle is 45°
Also the frequency ω = 2000
then the inductance is
L₁ = L₂ = L₃ = jωL = j×2000×0.003 = j6 Ω
and the capacitance is
C₁ = 1/jωC = 1/(j×2000×250x10⁻⁶) = -j2 Ω
and the resistance is
R₁ = R₂ = 2 Ω
Thevenin voltage:
The Thevenin voltage is the voltage that appears across the open-circuited terminals a-b (after removing L₃)
The Thevenin voltage is given by
Vth = V(t) × [ (R₂ + L₂) / (R₁ + L₁) + (R₂ + L₂) ]
Please note that there is no current flow in the capacitor due to open-circuited terminal a-b
Vth = 12 < 45° × [ (2 + j6) / (2 + j6) + (2 + j6) ]
Vth = 12 < 45° × [ (2 + j6) / (4 + j12) ]
Vth = 4.24264 + j4.24264 V
In phasor form,
Vth = 6 < 45° V
a. The magnitude of the Thevenin voltage is 6 V
b. The phase angle of the Thevenin voltage is 45°
Thevenin Impedance:
The Thevenin Impedance is the impedance of the circuit calculated when looking from the terminal a-b
Zth = [ (R₁ + L₁) × (R₂ + L₂) / (R₁ + L₁) + (R₂ + L₂) ] + (-j2)
Zth = [ (2 + j6) × (2 + j6) / (2 + j6) + (2 + j6) ] - j2
Zth = [ (2 + j6) × (2 + j6) / (2 + j6) + (2 + j6) ] - j2
Zth = [ (-32 + j24) / (4 + j12) ] -j2
Zth = [ (1 +j3) ] - j2
Zth = 1 + j Ω
In phasor form,
Zth = 1.414 < 45°
c. The magnitude of the Thevenin impedance is 1.414 V
d. The phase angle of the Thevenin impedance is 45°
Related Questions
The inception of cavitation
Answers
Answer:
The overview of the given question is described in the explanation segment below.
Explanation:
Cavitation inception or emergence happens whenever the localized temperature decreases far enough underneath the saturated or dissolved vapor pressure, a quantity determined by the thermal strength or conductivity of the fluid beyond a certain point (temperature).To respond to induce cavitation emergence, the cavitation "bubbles" usually allow a layer on which they could be nucleated.Amdahl’s LAW Question:
Suppose that we want to enhance the execution time used for web serving, two designs have been proposed, show which one is better
Design 1: Use a new processor 15 times faster than the original processor, assuming that the original processor is busy with computation 50% of the time and waiting for the I/O 50% of the time.
Design 2: Use a new Processor 20 time faster. While the processor is 30% of the time busy with the computation and 70% waiting for the IO
Answers
Answer:
Explanation:
As per Amdahl's law :
[tex]\text {Speedup} = {\frac{\text{Old Execution time}}{\text {New Execution time} }[/tex]
[tex]\text {Speedup} = \frac{1}{( (1- \text {FractionEnhanced}) + (\text {FractionEnhanced} / \text {SpeedupEnhanced}) )}[/tex]
Here :
Design 1:
FractionEnhanced = 0.5 (50% of computation )
[ Note that I/O wait has nothing to do with speed ]
SpeedupEnhanced = 15 times
[tex]\text {Overall speedup} =\frac{1}{( ( 1- 0.5) + (0.5/ 15) )}[/tex]
[tex]\text {overall Speedup} = \frac{1}{(0.5 + 0.033)}[/tex]
[tex]\text {overall Speedup} = \frac{1}{ 0.533} = 1.876[/tex]
========
Design 2:
FractionEnhanced = 0.3 (30% of computation )
SpeedupEnhanced = 20 times
[tex]\text {overall speedup} = 1 / ( ( 1- 0.3) + (0.3/ 20) )\\\\\text {overall speedup} = 1/ (0.7 + 0.015)\\\\\text {overall speedup} = 1/ 0.715 \\\\\text {overall speedup}= 1.398[/tex]
========
So as we can see Design 1 is better with overall speedup of 1.876 times the original processor.
A completely reversible heat pump produces heat at a rate of 300 kW to warm a house maintained at 24°C. The exterior air, which is at 7°C, serves as the source. Calculate the rate of entropy change of the two reservoirs and determine if this heat pump satisfies the second law according to the increase of entropy principle
Answers
Answer:
Entropy generation rate of the two reservoirs is approximately zero ([tex]\dot S_{gen} = 9.318 \times 10^{-4}\,\frac{kW}{K}[/tex]) and system satisfies the Second Law of Thermodynamics.
Explanation:
Reversible heat pumps can be modelled by Inverse Carnot's Cycle, whose key indicator is the cooling Coefficient of Performance, which is the ratio of heat supplied to hot reservoir to input work to keep the system working. That is:
[tex]COP_{H} = \frac{\dot Q_{H}}{\dot W}[/tex]
The following simplification can be used in the case of reversible heat pumps:
[tex]COP_{H,rev} = \frac{T_{H}}{T_{H} - T_{L}}[/tex]
Where temperature must written at absolute scale, that is, Kelvin scale for SI Units:
[tex]COP_{H, rev} = \frac{297.15\,K}{297.15\,K-280.15\,K}[/tex]
[tex]COP_{H, rev} = 17.479[/tex]
Then, input power needed for the heat pump is:
[tex]\dot W = \frac{\dot Q}{COP_{H,rev}}[/tex]
[tex]\dot W = \frac{300\,kW}{17.749}[/tex]
[tex]\dot W = 16.902\,kW[/tex]
By the First Law of Thermodynamics, heat pump works at steady state and likewise, the heat released from cold reservoir is now computed:
[tex]-\dot Q_{H} + \dot W + \dot Q_{L} = 0[/tex]
[tex]\dot Q_{L} = \dot Q_{H} - \dot W[/tex]
[tex]\dot Q_{L} = 300\,kW - 16.902\,kW[/tex]
[tex]\dot Q_{L} = 283.098\,kW[/tex]
According to the Second Law of Thermodynamics, a reversible heat pump should have an entropy generation rate equal to zero. The Second-Law model for the system is:
[tex]\dot S_{in} - \dot S_{out} - \dot S_{gen} = 0[/tex]
[tex]\dot S_{gen} = \dot S_{in} - \dot S_{out}[/tex]
[tex]\dot S_{gen} = \frac{\dot Q_{L}}{T_{L}} - \frac{\dot Q_{H}}{T_{H}}[/tex]
[tex]\dot S_{gen} = \frac{283.098\,kW}{280.15\,K} - \frac{300\,kW}{297.15\,K}[/tex]
[tex]\dot S_{gen} = 9.318 \times 10^{-4}\,\frac{kW}{K}[/tex]
Albeit entropy generation rate is positive, it is also really insignificant and therefore means that such heat pump satisfies the Second Law of Thermodynamics. Furthermore, [tex]\dot S_{in} = \dot S_{out}[/tex].
The rate of entropy change of the two reservoirs is; 9.318 * 10⁻⁴ kW/K and it satisfies second law of thermodynamics
What is the rate of entropy?
The formula for Coefficient of Performance is;
COP = T_H/(T_H - T_L)
Where;
T_H = 24°C = 297.15 K
T_L = 7°C = 280.15 K
Thus;
COP = 297.15/(297.15 - 280.15)
COP = 17.479
Input power is;
Input power needed for the heat pump is:
W' = Q'/COP
We are given; Q' = 300 kW
Thus;
W' = 300/17.479
W' = 16.902 kW
From first law of thermodynamics, we can deduce that;
Q_L = Q_H - W'
Thus;
Q_L = 300 - 16.902
Q_L = 283.098 kW
From second law of thermodynamics, the rate of entropy generation is;
S_gen = (Q_L/T_L) - (Q_H/T_H)
S_gen = (283.098/280.15) - (300/297.15)
S_gen = 9.318 * 10⁻⁴ kW/K
Read more about Entropy at; https://brainly.com/question/15022152
the overall management of the availability, usability, integrity, and security of data used in an enterprise is called ?
Answers
Answer:
Data Governance
Explanation:
Data governance is a government organization which allows the users to access the shared data.
This is achieved as the Data governance involves the management, integrity, usability, availability and security.
Data governance plays an important role in IT industries and business practices so that business can work more efficiently. The governance involves selecting a team, discover data quality and data security.
Thus, Data governance is the correct answer.
Answer:
ate/kuya poca please
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