Complete Question
A series RLC circuit has R = 405 Ω, L = 1.40 H, C = 3 µF. It is connected to an AC source with f = 60.0 Hz and ΔVmax = 150 V. What if the frequency is now increased to f = 69 Hz, and we want to keep the impedance unchanged? (A) What new resistance should we use to achieve this goal? R = Ω (B) What is the phase angle (in degrees) between the current and the voltage now? ϕ = ° (C) Find the maximum voltages across each element.
Answer:
A
[tex]R = 513.9 \ \Omega[/tex]
B
[tex]\theta = 34.79^o[/tex]
C
[tex]V_c =212.96 \ V[/tex] , [tex]V_L = 168.139 \ V[/tex] , [tex]V_R = 142.35 \ V[/tex]
Explanation:
From the question we are told that
The resistance is [tex]R = 405 \ \Omega[/tex]
The inductance is L = 1.40 H
The capacitance is [tex]C = 3 \mu F = 3 *10^{-6} \ F[/tex]
The original frequency is [tex]f = 60 \ Hz[/tex]
The new frequency is [tex]f_1 = 69 \ Hz[/tex]
Generally the reactance of the inductor is mathematically represented as
[tex]X_L = 2 \pi * f * L[/tex]
=> [tex]X_L = 2 * 3.142 * 60 * 1.40[/tex]
=> [tex]X_L = 527.5 \ \Omega[/tex]
Generally the reactance of the capacitor is mathematically represented as
[tex]X_c = \frac{1}{2 \pi * f * C}[/tex]
[tex]X_c = \frac{1}{2 * 3.142 * 60 * 3*10^{-6}}[/tex]
=> [tex]X_c = 884.6 \ \Omega[/tex]
Generally the impedance of the circuit is mathematically represented as
[tex]Z = \sqrt{[X_L - X_c ]^2 + R^2}[/tex]
=> [tex]Z = \sqrt{[527.5 -884.6 ]^2 + 405^2}[/tex]
=> [tex]Z = 540 \ \Omega[/tex]
Generally when the frequency is changed , the reactance of the inductor becomes
[tex]X_L' = 2 * 3.142 * 69 * 1.4[/tex]
=> [tex]X_L' = 607 \ \Omega[/tex]
Generally when the frequency is changed , the reactance of the capacitor becomes
[tex]X_c' = \frac{1}{2 * 3.142 * 69 * 3*10^{-6}}[/tex]
=> [tex]X_c ' = 768.8 \ \Omega[/tex]
Generally the new resistance is mathematically represented as
[tex]R ^2 = Z^2 - ( X_c' - X_L')^2[/tex]
=> [tex]R ^2 = 540^2 - ( 603 - 768.8 )^2[/tex]
=> [tex]R = \sqrt{264110.4}[/tex]
=> [tex]R = 513.9 \ \Omega[/tex]
Generally the phase angle is mathematically represented as
[tex]\theta = tan^{-1}[\frac{[X_L - X_C]}{R} ][/tex]
=> [tex]\theta = tan^{-1}[\frac{[ 884.6 - 527.5]}{513.92} ][/tex]
=> [tex]\theta = 34.79^o[/tex]
Generally the maximum current flowing through the circuit is mathematically represented as
[tex]I_{max} = \frac{\Delta V}{ Z}[/tex]
=> [tex]I_{max} = \frac{150}{540 }[/tex]
=> [tex]I_{max} = 0.2778 \ A[/tex]
Generally the maximum voltage across the capacitor is
[tex]V_c = I_{max} * X_c'[/tex]
[tex]V_c = 0.2778* 768.8[/tex]
=> [tex]V_c =212.96 \ V[/tex]
Generally the maximum voltage across the inductor is
[tex]V_L = I_{max} * X_L[/tex]
[tex]V_L = 0.2778* 607[/tex]
=> [tex]V_L = 168.139 \ V[/tex]
Generally the maximum voltage across the resistor is
[tex]V_R = I_{max} * R[/tex]
[tex]V_R = 0.2778* 513.9[/tex]
=> [tex]V_R = 142.35 \ V[/tex]
if your smart in science please help me, thank u
Answer:
Air steel water
Explanation:
During exercise, the supply of oxygen and __________ to muscles increases. What one word completes the sentence?
Answer:
Glucose
Explanation:
During exercise, muscles need more energy. They get this energy by aerobic respiration, which uses oxygen and glucose to release energy.
Note: If the body fails to supply oxygen to the muscles fast enough, the muscles will produce energy by anaerobic respiration, which is not as effective as aerobic respiration in addition to producing lactic acid.
During exercise, the supply of oxygen and glucose to muscles increases. During exercise, muscles need more energy.
What happens during exercise?They get this energy by high-impact breath, which utilizes oxygen and glucose to deliver energy.
During exercise, your muscles are working diligently. Your breathing and pulse increment, maneuvering more oxygen into the circulation system. As you work out, the oxygen that arrives at your muscles changes over accessible glucose into ATP, furnishing your body with the energy it requires to finish your exercise.
Find more information about Exercise here:
brainly.com/question/3524635
Find the mass of the car.
[tex]\huge\boxed{770.8\overline{3}\ \text{kg}}[/tex]
We know that force equals mass times acceleration, so substitute in the known values and solve.
[tex]\begin{aligned}F&=ma\\1850&=m*2.4\\1850\div2.4&=m*2.4\div2.4\\\boxed{770.8\overline{3}}&=m\end{aligned}[/tex]
An object with a mass of 5kg accelerates 20m/s" when an unknown force is applied. What is the amount of force?
please help!!
Answer:
100 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question we have
force = 5 × 20
We have the final answer as
100 NHope this helps you
If F applied is 17 Newtons to the right, what is the magnitude and direction of the friction force, if the object is traveling with the constant velocity?
Find friction force and its direction
There's some missing context here, but I would guess you're talking about a box or something with some mass m being pushed over a flat surface. Since it's moving with constant velocity, there is no acceleration and so the box is in equilibrium. In particular, the horizontal forces cancel each other. If f is the magnitude of the friction force, then
17 N + (-f ) = 0
f = 17 N
and this force points opposite the direction of motion.
The purpose of concept-mapping is to
a. Identify sequence
b. Identify vocabulary
c. Identify relationships
d. Identify questions
Please select the best answer from the choices provided
Ο Α
OB
ОС
OD
Answer:
c. Identify relationships
Explanation:
One of the most important feature of concept-mapping is to identify relationships between the phenomenon being mapped.
Concept map is the process of using shapes, colors and lines to represent a person's thought process. Concept maps are very useful study aids. They present the relationship between different part of a study.Answer:
its a... i have seen one for every letter lol
Explanation:
PLS HURRY Give two ways that citizens can influence the technology that affects
them. *
Answer:
They can use it to help them get a job, for example, tech typically have apps to help aid the citizen.
They can use their technology to try and make their life style easier for example, Google Home.
What is the force due to gravity of a 38 kg student?
Answer:
F_g = 372.78 N
Explanation:
Formula for force of gravity is;
F_g = mg
Where;
m is mass
g is acceleration due to gravity
We are given;
Mass = 38 kg
Acceleration due to gravity has a constant value of 9.81 m/s²
Thus;
F_g = 38 × 9.81
F_g = 372.78 N
Sam lifted his backpack with 5 Newtons of force a total of 400
meters. How much work did he do?
80 watts
2000 watts
2000 joules
80 joules
2000joules
Explanation:
work done=force×meters
pls help i’m begging you
Answer:
true,true,false,true
Explanation:
I am unsure about what I'm suppose to do
Answer:
1st box: increase
supporting evidence: As the girl swings downward she will gain more height due to the increasing force pushing her
2nd box: increase
supporting evidence: the magnetic force of the earth will increase the kinetic energy of the girl when she goes downward slightly as she swings forward
3rd box :increase
supporting evidence:As the girl swings downward she will gain more speed due to the gravitational pull
Explanation:
Why do we close our eyes when we sleep
Answer:
because our some of the energy goes from our eyes
explanation;
There are several reasons why it's important to close our eyes while we sleep. Closed eyelids block light, which stimulates the brain to wakefulness. Closing our eyes also protects and lubricates the eyes while we sleep
The other name for 'net force' is 'unbalanced force'. What is the name of the force that could be applied to an object that would balance a net force and create a state of equilibrium?
Answer:
Since these two forces are of equal magnitude and in opposite directions, they balance each other. The book is said to be at equilibrium. There is no unbalanced force acting upon the book and thus the book maintains its state of motion. When all the forces acting upon an object balance each other, the object will be at equilibrium; it will not accelerate.
Explanation:
A toy car is tied to a post with string, causing it to drive in a tight circle. This is
shown in the picture below.
In which direction will the toy car go if the string breaks?
Answer:the answer is direction b
Explanation:
If the string breaks, the toy car go on path B. The correct option is D.
What is centrifugal force?The pseudo force which acts when the centripetal force ceases to act on the particle moving in the circular path. While moving, the centripetal force acts towards the center of the circular path.
A toy car is tied to a post with string, causing it to drive in a tight circle. If the string breaks, the toy car is thrown out of the track.
The centrifugal force acts away from the center. But the velocity of motion will be tangential to the circular path. So, when string breaks, the toy car will follow the path B.
Thus, the correct option is D.
Learn more about centrifugal force.
https://brainly.com/question/17167298
#SPJ2
Calculate the average time it took the car to travel 0.25 and 0.50 meters with four washers attached to the pulley. Record the averages, rounded to two decimal places, in Table C of your Student Guide.
What is the average time it took the car to travel 0.25 meters?
seconds
What is the average time it took the car to travel 0.50 meters?
seconds
Answer:
0.88 seconds
1.33 seconds
on edge (when four washers are attached)
Explanation:
Answer:
0.88 seconds
1.33 seconds
Explanation:
Near Earth's surface, the acceleration due to gravity is __________ and directed __________.
Answer:
gravity can help us walk
Explanation:
i know cuz we are able to walk
Calculate how much steam from water boiling at 100 C will just melt 50 gm of wax at 20 C. (Melting point of wax=55 C, sp. heat capacity of wax=0.7cal/g C, sp. latent heat of fusion of wax=35cal/g)
Answer:
m₁ = 5.507 x 10⁻³ kg = 5.507 g
Explanation:
The heat released by the steam must be absorbed by the melting wax, according to the law of conservation of energy:
Heat Released by Steam = Heat Absorbed by Wax
Latent Heat of Fusion of Steam = Heat Absorbed by Wax + Latent Heat of Fusion of Wax
m₁H₁ = m₂CΔT₂ + m₂H₂
where,
m₁ = mass of water = ?
H₁ = Latent Heat of Fusion of Water = 2260 KJ/kg = 2.26 x 10⁶ J/kg
m₂ = mass of wax = 50 g = 0.05 kg
C = specific heat capacity of wax = (0.7 cal/g°C)(1000 g/1 kg)(4.184 J/1 Cal)
C = 2928.8 J/kg.°C
ΔT₂ = Change in Temperature of Wax = 55°C - 20°C = 35°C
H₂ = Latent Heat of Fusion of Wax = (35 cal/g)(1000 g/1 kg)(4.184 J/1 Cal)
H₂ = 146440 J/kg
Therefore,
m₁(2.26 x 10⁶ J/kg) = (0.05 kg)(2928.8 J/kg.°C)(35°C) + (0.05 kg)(146440 J/kg)
m₁ = (5125.4 J + 7322 J)/2.26 x 10⁶ J/kg
m₁ = 5.507 x 10⁻³ kg = 5.507 g
which action will decrease the gravitational force between two objects ?
Answer:
c
Explanation:
moving the mass of each object
Answer:C. Moving the objects farther apart
Explanation:
Question 4 What is the standard Hz rate (cycles per second) in the US? 60 Hz 20 Hz 50 Hz 80 Hz
The standard in the United States is 120-volt and 60Hz AC electricity.
Answer:
120-volt and 60Hz AC electricity.
Explanation:
30 PT Pweese help one more timeeee
pweese look at the image below
Answer:
A
Explanation:
X Is going vertical while the other is horizontal
Answer:
(I dont know why my answer was deleted but here it is again)
A) slowing down in the negative direction
Explanation:
{Reason why is because it is slowing down, negative wise (it said i have to give a an explanation so you don't have to mind this parenthesis lololol)}
Hope this helps!!
God Bless!!
~DuffyDuck~
(Btw it said you gave me brainliest so thank you, even though it was deleted lol. You are awesome haha)
The mechanical energy of a coconut falling from a tree______
A. doesn't exist
B. increases
C. decreases
D. remains constant
Answer:
D. is the answer
Explanation:
Answer:
D
Explanation:
Select all that apply.
Which of the following is a valid reason why females are underrepresented in STEM jobs?
Females like technology and science, but they are not confident in their mathematics abilities.
Females are more likely to pursue STEM education in societies where females have STEM jobs.
Females like to study STEM subjects, but they do not want to work in STEM jobs.
Females are not as competent as males in mathematics, science, and technology.
Answer:
Its most likely answer number 2
Answer:
Females like technology and science, but they are not confident in their mathematics abilities.
and
Females are more likely to pursue STEM education in societies where females have STEM jobs.
Im doing this assignment right now
Why sonic the hedgehog its so broken in power?
Answer:
Because of the perpindicularity of the bisectors reacting with the photosynthesis of the lines.
Explanation:
Answer:
it`s quite simple
Explanation
he can use the chao esmeralds and the chaos esmeralds holds a lot of energy what makes he stronger and more quick
Which of the following describes air temperature and air pressure at higher altitudes?
Group of answer choices:
Air temperature increase while air pressure decreases
Air temperature and air pressure both decrease
Air temperature and air pressure both increase
Air temperature decreases while air pressure increases
Answer:
Air temperature and air pressure both decreases
Answer: A
Explanation:
Cody lives in Florida along the eastern coast. The kind of air mass likely to occur
over his region would be
Choose...
. It would develop here because
Choose...
.
Fiber is not easily digested by the body.
True
False
Answer:
true
Explanation:
Answer:
Is Falseeee
Explanation:
Hope it helps
If there was a ball falling from a tree and there was a guy under the tree, the balls was falling 12 mph and the guy under the tree has 2 seconds to escape. Did the ball land in his head or did he dodge it?
Answer:
He dodged it.
Explanation:
What is the Energy Transformation of an electric radiant heater?
Answer:
energy transfer electric to heat
Explain the difference between a government Law and a Law of Science
Answer:
U.S. Federal Government Law addresses government interactions on a national scale, and is largely composed of administrative law and constitutional law. ... State law also establishes and regulates local government for cities, towns, counties, and other communities.In general, a scientific law is the description of an observed phenomenon. It doesn't explain why the phenomenon exists or what causes it. The explanation of a phenomenon is called a scientific theory
Explanation:
PLEASE ANSWER
15. A 20-kilogram monkey hangs from a tree limb by both arms. Draw a free-body diagram showing the forces on the monkey. Hint: 20 kilograms is not a force!
Answer:
Farm = 98.1 [N]
Explanation:
To solve this problem we must draw the respective free body diagram, with the forces acting on the monkey. An analysis of the sums on the y-axis must be performed, in this axis the weight is acting down and the forces of both arms pulling up.
Weight is defined as the product of mass by gravitational acceleration.
W = m*g
where:
m = mass = 20 [kg]
g = gravity acceleration = 9.81 [m/s²]
W = 196.2 [N] (units of Newtons)
As this force points down, the force of both arms must go up, therefore each arm exerts a force of:
Farm = 196.2 / 2
Farm = 98.1 [N]
