What resistance R should be connected in series with an inductance L=291mH and capacitance C=13.8μF for the maximum charge on the capacitor to decay to 97.9% of its initial value in 66.0 cycles? (Assume ω ′
≅ω.)

Answers

Answer 1

To decay the charge on the capacitor to 97.9% of its initial value in 66.0 cycles, a resistance of approximately 9.20 Ω should be connected in series with an inductance of 291 mH and a capacitance of 13.8 μF.

The decay of the charge on the capacitor can be analyzed using the concept of damping in an RLC circuit. The decay of the charge over time is determined by the resistance connected in series with the inductance and capacitance.

The damping factor (ζ) can be calculated using the formula ζ = R/(2√(L/C)), where R is the resistance, L is the inductance, and C is the capacitance. The number of cycles (n) it takes for the charge to decay to a certain percentage can be related to the damping factor using the equation n = ζ/(2π).

Given that the charge decays to 97.9% of its initial value in 66.0 cycles, we can rearrange the equation to solve for the damping factor: ζ = 2πn. Substituting the given values, we find ζ ≈ 0.329.

Using the damping factor, we can then calculate the resistance needed using the formula R = 2ζ√(L/C). Substituting the given values, we find R ≈ 9.20 Ω.

Therefore, a resistance of approximately 9.20 Ω should be connected in series with an inductance of 291 mH and a capacitance of 13.8 μF to achieve the desired decay of the charge on the capacitor.

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Related Questions

what types of properties does light have?

Answers

Answer:

The primary properties of visible light are intensity, propagation-direction, frequency or wavelength spectrum and polarization.

The si unit of measurement is a way for scientists to?

Answers

Have a universal record base. Everyone is able to understand the data compiled since the same measurement systems are being used around the world. This is just to simplify all of the information.

If You Increase The Distance Between The Plates Of A Capacitor, How Does The Capacitance Change? Not Sure Now Choose From One Of The Following Options Why? A. Doubling The Distance Between Capacitor Plates Will Reduce The Capacitance Four-Fold. B. Doubling The Distance Between Capacitor Plates Will Reduce The Capacitance Two-Fold. C. Doubling the distance between capacitor plates will increase the capacitance two times.
D. Doubling the distance between capacitor plates will increase the capacitance four times.

Answers

B. Doubling The Distance Between Capacitor Plates Will Reduce The Capacitance Two-Fold.  

What is Capacitor?

Capacitor is an electrical device used to store energy. It is composed of two conducting plates separated by an insulating material called the dielectric. When a voltage is applied to the two plates, an electric field forms between them, storing energy in the form of an electrical charge. Capacitors are used in a variety of applications, such as in filter circuits, timing circuits, and power supply circuits.

The capacitance of a capacitor is directly proportional to the area of the plates and inversely proportional to the distance between the plates. Therefore, when the distance between the plates is doubled, the capacitance is halved.

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Place the molecules in the list in order with the smallest molecules at the top and largest molecules at the bottom: starch molecule, water molecule, glucose molecule, carbon dioxide molecule, protein molecule, amino acid molecule, oxygen molecule

Answers

Explanation:

list in order with the smallest molecules at the top and largest molecules at the bottom:

1.Oxygen

2.Water

3.Carbon dioxide

4.amino acid

5.Glucose

6. Starch

7. Protein

The molecules can be arranged as follows with the smallest at the top is oxygen, water, carbon dioxide, amino acid, glucose, starch, protein.

The given molecules;

starch, water, glucose, carbon dioxide, protein, amino acid, oxygen

The molecular weight of the given compounds is listed as follows;

water -------- 18 g/mol

glucose -------  180.2 g/mol

starch (2 or more glucose) ------ 360 g/mol

carbon dioxide ------ 44 g/mol

protein -------- 20,000 g/mol

amino acid (glycine) ----- 75 g/mol

oxygen -------- 16 g/mol

Thus, the molecules can be arranged as follows with the smallest at the top;

oxygenwatercarbon dioxideamino acidglucosestarchprotein

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Do not bounce as stretching because this can cause muscle fibers to shorten, not lengthen, causing injury to the muscles

True or False

Answers

Answer:

True

Explanation:

I searched it up :)

if the retina is 1.7 cm from the lens in the eye, how large is the image on the retina of a person of height 1.8 m standing 8.0 m away?

Answers

The image size on the retina of a person of height 1.8 m standing 8.0 m away is: 0.094 cm.

The size of the image on the retina of a person of height 1.8 m standing 8.0 m away is determined by the size of the object, the distance between the object and the lens, and the distance between the lens and the retina.

The image size on the retina is inversely proportional to the distance between the object and the lens and is directly proportional to the distance between the lens and the retina. In this case, the object is 1.8 m away and the lens is 1.7 cm from the retina.

Therefore, the image size on the retina is (1.7 cm/1.8 m) times 8.0 m, or 0.094 cm. This means that the image size on the retina of a person of height 1.8 m standing 8.0 m away is 0.094 cm.

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A 2.4 nc charge is at the origin and a -5.4 nc charge is at x = 1.2 cm. part a at what x-coordinate could you place a proton so that it would experience no net force?

Answers

We need to place the proton at x = 1.2 cm, which is the same distance away from the positive charge.To find the x-coordinate at which a proton would experience no net force, we need to calculate the distance between the proton and the two charges.

Given that the positive charge is located at the origin (x = 0) and the negative charge is at x = 1.2 cm, we can use the formula for the distance between two points in a coordinate system:

Distance = √(\((x2 - x1)^2\)+ \((y2 - y1)^2\))
Plugging in the values, we get:
Distance = √(\((1.2 - 0)^2\) + \((0 - 0)^2\))
        = √(1.44 + 0)
        = √1.44
        = 1.2 cm
To experience no net force, the distance between the proton and the negative charge should be equal to the distance between the proton and the positive charge. Therefore, we need to place the proton at x = 1.2 cm, which is the same distance away from the positive charge.

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Which of the following is not true of marshes, swamps, and bogs?
a.
They can be seasonal or permanent.
b.
They have very little groundwater.
c.
They can be very important to migrating animals.
d.
They are considered the most biodiverse ecosystems.



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

b

Explanation:

hope it helps ya

Answer B

Explanation: They have very little groundwater.

A platinum resistance thermometer measures temperature by the change in the electrical resistance of a platinum wire. The coefficient of resistivity for platinum is 3.92×10
−3


C
−1
. At a temperature of 20.0

C, the thermometer has a resistance of 50.0Ω; when immersed in a crucible containing melting indium its resistance is 76.8Ω. What is the melting point of indium? Question 9 An electric fire has a heating element rated at 1 kW when operating at 230 V. (a) what is its resistance? (b) what will be the power dissipation if the mains voltage drops to 210 V, assuming that the element obeys Ohm's Law?

Answers

From the calculation;

1) Melting point of indium = 171.4°

2) The resistance is 52.9 ohm

3) The power dissipated is  834 W

Temperature coefficient of resistance

The temperature coefficient of resistance is a measure of how much the resistance of a material changes with temperature. It quantifies the relationship between the change in resistance and the change in temperature.

We have that;

R1/R2 = (1 + αt1)/(1 + αt2)

50/76.8 = (1 + (3.92 * \(10^-3\) * 20))/(1 +  (3.92 *\(10^-3\) * t))

0.65 = 1.0784/1 + 0.00392t

0.65(1 + 0.00392t) =  1.0784

0.65 + 0.0025t = 1.0784

t = 171.4°

P = \(V^2\)/R

R = \(V^2\)/P

R = \(230^2\)/1000

R = 52.9 ohm

The new power is;

P =\(210^2\)/52.9

P = 834 W

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A farmer is pushing a 75 kg plow across a field with 700 N at an angle of 35 degrees above the ground. If the kinetic frictional force between the plow and the field is 250 N. What is the Normal Force from the ground onto the plow? And what is the acceleration of the plow?

Answers

Given :

A farmer is pushing a 75 kg plow across a field with 700 N at an angle of 35 degrees above the ground.

The kinetic frictional force between the plow and the field is 250 N.

To Find :

The Normal Force from the ground onto the plow.

The acceleration of the plow.

Solution :

Normal force = mg + F sin Ф

= 75×10 + 700 × sin 35°

= 1151.50 N

Now,

ma = 700 cos Ф - 250

75×a = 323.4

a = 4.31 m/s²

Hence, this is the required solution.

What happens to the capacitance of a parallel plate capacitor when it is connected to a battery and dielectric is inserted?
(pls help fast it's urgent)

Answers

Answer:

After the dielectric is inserted the capacitance is increased hence the stored energy is also increased . It may be noted here that since voltage between the capacitor V0 is constant the electric field between the plates also remains constant .


Hint In the previous sections, you found v² = 2ugd and determined you could
plot v² on the vertical axis and d on the horizontal axis to get a straight line
where the slope is equal to 2µg.

Hint In the previous sections, you found v = 2ugd and determined you couldplot v on the vertical axis

Answers

Answer:

Explanation:

Based on the given hint, it appears that the question is related to the analysis of a physics experiment involving the relationship between velocity, distance, and acceleration due to gravity.

Given that the formula v² = 2ugd is being used, it suggests that the experiment involves dropping an object from a height d and measuring the distance it travels over time, as well as the final velocity it reaches. By plotting the squared velocity (v²) on the vertical axis and distance (d) on the horizontal axis, a straight line can be obtained with a slope of 2ug, where u is the coefficient of friction and g is the acceleration due to gravity.

However, without further information or data from the experiment, it is impossible to determine the specific value of the scale factor used.

An object’s distance from a converging lens is 16.1 times the focal length.
How far is the image from the lens?
Answer in units of f .

Answers

Answer:Hey I just wanted to tell you that Jesus LOVES YOU SO MUCH He died on the cross for all your sins so you won’t have to suffer the consequences of your sin He paid for ALL OF IT! He loves you SO FREAKING MUCH like unconditionally... all you have to do is confess with your mouth and believe in your heart that Jesus is Lord and God raised Him from the dead 3 days later you will be saved ;)))))))) He wants an intimate relationship with you all you have to do is reach out to Him I love you AND ABOVE ALL JESUS LOVES YOU

Have a blessed day;))

Explanation:

Across the northern part of our continent, many bodies of water are covered by a thick layer of ice for many months of the year. Which properties of water make it possible for life to continue to exist in those lakes? Water has a high specific heat in comparison to other substances. Water has a high solvent capacity for a variety of substances. Old water is denser than ice, so the ice floats to the top. a I only b I and II only c I and III only d I, II, and III

Answers

Answer:

Bbbbbbbbbbbbbb. bbbbbbbbbbbbbbb

The properties of water that makes it possible for life to continue to exist in lakes covered by a thick layer of ice for many months of the year are:

Water has a high specific heat in comparison to other substancesCold water is denser than ice, so the ice floats to the top.

The correct option is C.

How does the water in frozen lakes support life?

The water in frozen lakes supports life because of the following properties f water;

Water has a high specific heat in comparison to other substancesCold water is denser than ice, so the ice floats to the top.

As soon as the water turns to ice, the ice loses a lot of its water-like density and continues to float on the lake's surface. Water loses density when it grows colder below 4° Celsius, forcing water that is about to freeze to float to the top.

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A certain car is capable of accelerating at a rate of 0.60m/s. how long does it take for this car to go form a speed of 55 mi/h to 60mi/h?

Answers

By using uniform motion, the time taken to accelerate is 3.72 seconds.

We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule

vt = vo + a . t

vt² = vo² + 2a . s

s = vo . t + 1/2 . a . t²

where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.

From the question above, we know that

a = 0.6 m/s²

vo = 55 mi/h

vt = 60 mi/h

Convert the velocity to m/s

vo = 55 mi/h

vo = 55 x 1609.34/3600 m/s

vo = 24.59 m/s

vt = 60 mi/h

vt = 60 x 1609.34/3600 m/s

vt = 26.82 m/s

Find the time taken

vt = vo + a . t

26.82 = 24.59 + 0.6t

0.6t = 2.23

t = 3.72 seconds

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Do you think a circuit breaker is wired in series or parallel? Why?

Answers

Answer:

I think it's in a series

Explanation:

is this an aviation class

A spring with spring constant 58N/cm is stretched 4cm. How much force is it applying

Answers

Answer:

232 N

Explanation:

By Hooke's law, the force applied to a spring is proportional to the stretch of the spring, so

F = kx

Where F is the force, k is the spring constant and x is how much it is stretched.

So, replacing k by 58N/cm and x by 4 cm, we get

F = (58 N/cm)(4 cm)

F = 232 N

Therefore, the force applied is 232 N

briefly compare and contrast the alignment of the sun, earth, moon system and how they affect the tides in both scenarios.

Answers

The tides on Earth are affected by the gravitational pull of both the Moon and the Sun.  When the Sun, Earth, and Moon are aligned, either during a full or new moon, their combined gravitational pull produces higher high tides and lower low tides, known as spring tides.  

On the other hand, when the Sun, Earth, and Moon form a right angle, during the first or third quarter moon, their gravitational pull partially cancels each other out, leading to lower high tides and higher low tides, known as neap tides.

During spring tides, the high tides are at their highest and low tides are at their lowest, producing a greater tidal range. In contrast, during neap tides, the tidal range is at its lowest, with high tides not reaching as high and low tides not going as low.

Overall, the alignment of the Sun, Earth, and Moon affects the magnitude and frequency of the tides on Earth.

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An airplane traveling at half the speed of sound emits a sound of frequency 5.00 kHz. At what frequency does a stationary listener hear the sound (a) as the plane approaches? (b) After it passes?

Answers

10 kHz is the frequency does a stationary listener hear the sound as the plane approaches.

What is frequency?Frequency refers to the number of waves passing through a fixed point in a unit of time. Also, the number of cycles or oscillations per unit  time experienced by an object in periodic motion.Frequency describes how many times a periodic waveform or signal stationary at a particular amplitude. It can be expressed in hertz, kilohertz, megahertz, etc. A class interval frequency is the number of observations that occur in a particular predefined interval.So, for example, if there are 20 him aged 5-9 in the survey data, the frequency of the  interval 5-9 is 20.Frequency is an important parameter used in science and engineering to describe the  rate of change over time observed in oscillatory and periodic phenomena such as mechanical vibrations, audio signals, radio waves, and light.

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What is the purpose of setting a deadline for a goal?

Answers

Answer:

To help push yourself to reach the goal, It can also help you pace yourself time wise

Explanation:

LOOK AT THE PICTURE> PLEASE HELP NO LINKS AT ALL
What level of organization is represented by this figure?
A. subsystem

B. cellular level

C. body system

D. organ

LOOK AT THE PICTURE> PLEASE HELP NO LINKS AT ALLWhat level of organization is represented by this

Answers

Answer: D

Explanation:

It is at organ level because the kidney is an organ

A quantum particle in an infinitely deep square well has a wave function given byψ₂(x) = √2/L sin ( 2πx/ L) for 0 ≤ x ≤ L and zero otherwise.(d) Argue that the result of part (a) does not contradict the results of parts (b) and (c).

Answers

The result of part (a) does not contradict the results of parts (b) and (c) because they provide different information about the quantum particle in the infinitely deep square well. The energy levels are quantized and determined by the wave function, while the probability density and expectation value of the position are determined by the specific form of the wave function.

In order to argue that the result of part (a) does not contradict the results of parts (b) and (c), we need to consider the given wave function ψ₂(x) = √2/L sin(2πx/L) for 0 ≤ x ≤ L and zero otherwise.

(a) In part (a), the result is that the energy of the particle in the square well is quantized, meaning it can only have certain discrete energy levels. This is determined by the equation E = (n²π²ħ²)/(2mL²), where n is the quantum number, ħ is the reduced Planck's constant, m is the mass of the particle, and L is the length of the well.

(b) In part (b), the result is that the probability density |ψ(x)|² represents the likelihood of finding the particle at a particular position x. In this case, the probability density is given by |ψ₂(x)|² = (2/L) sin²(2πx/L) for 0 ≤ x ≤ L and zero otherwise. The probability density is highest at the antinodes of the sine function and lowest at the nodes.

(c) In part (c), the result is that the expectation value of the position  is determined by the integral ∫x|ψ(x)|² dx over the range of 0 to L. For the given wave function ψ₂(x), the calculation of  leads to a value of L/2, which is the midpoint of the well.

Now, to argue that the result of part (a) does not contradict the results of parts (b) and (c), we need to consider the relationship between the energy levels, probability density, and expectation value of the position.

The wave function ψ₂(x) is a standing wave pattern with nodes and antinodes. The nodes represent points where the probability density is zero, indicating that the particle is unlikely to be found at those positions. The antinodes, on the other hand, represent points where the probability density is highest, indicating a higher likelihood of finding the particle at those positions.

The energy levels of the particle in the square well are determined by the wave function, and each energy level corresponds to a specific standing wave pattern. The different energy levels have different numbers of nodes and antinodes, leading to different probabilities of finding the particle at different positions within the well.

So, while the energy levels are quantized and determined by the wave function in part (a), the probability density and expectation value of the position are determined by the specific form of the wave function in parts (b) and (c). These quantities provide information about the likelihood of finding the particle at different positions within the well, and they do not contradict the quantization of energy levels.

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if the height difference between the lower and upper pipe is 12 m and the area of the upper pipe is 10 cm2, what is the water pressure in the upper pipe? ignore the viscosity of water and assume the water always fills the pipe. (the density of water is 1000 kg/m3.)

Answers

The water pressure in the upper pipe is approximately 117.72 Pa if the height difference between the lower and upper pipe is 12 m and the area of the upper pipe is 10 cm2.

The pressure of water in the upper pipe can be calculated using the following formula:

P = ρgh

where P is the pressure, ρ is the density of water (1000 kg/m³), g is the acceleration due to gravity (9.81 m/s²), and h is the height difference between the lower and upper pipe (12 m).

However, the area of the upper pipe is given in square centimeters (cm²), so we need to convert it to square meters (m²) before we can use the formula.

1 cm² = 0.0001 m²

Therefore, the area of the upper pipe is:

10 cm² * 0.0001 m²/cm² = 0.001 m²

Now we can plug in the known values into the formula to get:

P = ρgh = 1000 kg/m³ * 9.81 m/s² * 12 m * 0.001 m²

Simplifying, we get:

P = 117.72 Pa

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A car travels for 2 hours at a speed of 55 km/h. calculate the distance traveled

Answers

This is a uniform rectilinear motion (MRU) exercise.

We get the data:

d = ?, v = 55 km/h, t = 2 hr

To calculate the distance, multiply the speed by the time.

d = v * t

d = 55km/h * 2hr = 110km

The distance traveled is 110 km.

A train travelling at 20 m/s has 2 000 000 J of kinetic energy. What is the mass of
the train?

Answers

Answer:

10,000 kg

Explanation:

The mass of the train can be found by using the formula

\(m = \frac{2k}{ {v}^{2} } \\ \)

k is the kinetic energy

v is the velocity

From the question we have

\(m \frac{2(2000000)}{ {20}^{2} } = \frac{4000000}{400} = \frac{40000}{4} \\ \)

We have the final answer as

10,000 kg

Hope this helps you

Answer:

10,000 kg

Explanation:

.

Why does a black smith heat the iron block before hammering it to change its shape ?

Answers

Heating iron to a "forging heat" allows bending as if it were a soft, ductile metal, like copper or silver.


Hope it helps

Which two explanations are based on personal beliefs?

I A. Certain mineral crystals have properties that help protect the

body from illness.

IB. A constellation's position in the night sky can be used to predict

events in a person's life.

I C. Medical data gathered over many years show that lack of

adequate sleep causes health problems.

D. Observations using microscopes reveal that all known organisms

are composed of tiny structures called cells.

I E. Data gathered during experiments show that there is an inverse

relationship between the force of gravity and distance.

Answers

Answer:

The correct options are A and B

Explanation:

Personal beliefs can be described as beliefs that have not been scientifically proven. These beliefs are generally as a result of religion, culture or tradition. Scientifically in theory, these beliefs lack clear path of possibility. For example, being in possession of certain mineral crystals in order to help protect the body against illness have a little possibility of being scientifically (in theory) explained. There is also no scientific evidence to support this claim.

There is also no scientific evidence to support the idea of the constellation's position to predict  events in a person's life. This also has little possibility of being theoretically explained in science.

It should however be noted that there are exceptions/coincidences that suggest these events happen as it has been listed in the two options.

Answer: A and B!

Explanation: Just took the quiz.

Suppose that a 15.0 cm x 5.00 cm plane rectangular loop of wire has 12 turns. A magnetic field of 2.50 T is normal to the plane of the loop. This field is reduced to 1.00 T at a uniform rate in 3.00 ms. What is the current induced in the loop if its total resistance is 2.00 Ω?

Answers

The current induced in the loop if its total resistance is 2.00 Ω is 0.0188 A

How to solve for the current

\(BAcos(theta) = (2.50 T)(0.15 m)(0.05 m)*cos(0)\)

= 0.01875 Wb

When the magnetic field is reduced to 1.00 T, the magnetic flux through the loop changes to:

\(phi_2 = BAcos(theta) = (1.00 T)(0.15 m)(0.05 m)*cos(0)\)

= 0.0075 Wb

The rate of change

\(= (0.0075 Wb - 0.01875 Wb) / (3.00 ms)\)

\(= -3.125*10^{-3} Wb/s\)

\(= -(12)(3.125*10^{-3} Wb/s)\)

= -0.0375 V

The current induced in the loop is given by Ohm's law:

I = EMF / R

where R is the total resistance of the loop. Plugging in the values, we get:

I = (-0.0375 V) / (2.00 Ω) = -0.0188 A

The current induced in the loop if its total resistance is 2.00 Ω is 0.0188 A

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Urgent! Which is not an example of work? Question 2 options: pushing a box across the floor picking up a box off the floor raising a barbell over your head trying to push a rock that never moves

Answers

Answer:

trying to push a rock that never moves

Explanation:

Given the vectors in the figure below, find vector R
that solves the following equations. Assume the +x-axis is horizontal to the right. (Express your answers in vector form.)

Answers

The vector R that solves the given equations is R = (3i + 2j) m.

To determine the value of vector R, we need to add the given vectors together. From the figure, we can see that vector A is represented as 2i m and vector B is represented as i + j m.

Adding the components of vector A and vector B, we have:

Vector A = 2i m

Vector B = i + j m

Adding the corresponding components, we get:

R = (2i m) + (i + j m) = 3i + j m

Therefore, the vector R that solves the given equations is R = 3i + 2j m.

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