For an RC circuit, find an expression for the angular frequency at which VC=1/2E0.
Express your answer in terms of the variables R, C, and E0.

Answers

Answer 1

The angular frequency at which VC=1/2E0 of an RC circuit is √3/RC where R is the resistance and C is the capacitance of the circuit.

Let the voltage across a resistor = Vr

Given The voltage across a capacitor = Vc = 1/2E0

The angular frequency = ω = 2πf

The current in the circuit = I

The permittivity of free space = E0

The resistance of resistor = R

Vc = ω/x = E0/2 then E0 = 2ω/x

We know that E0 = √Vc^2 + Vr^2 such that E0^2 = E0^2/4+Vr^2

Then Vr^2 = 3E0^2/4 such that Vr = √3E0/2

The capacitance (C) can be calculated as: C = Vr/Vc x 1/ωR

ω = (Vr/Vc) x 1/RC = (√3E0/2)/E0/2 x 1/RC

So  ω = √3/RC

Hence the angular frequency of an RC circuit is √3/RC

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Related Questions

A motorcyclist is making an electric vest that, when connected to the motorcycle's 12 V battery, will warm her on cold rides. She is using 0.25-mm-diameter copper wire, and she wants a current of 4.2 A in the wire. Part A What length wire must she use

Answers

Answer:

L = 8.35 m

Explanation:

The lenght of a wire L can be calculated using the following expression:

L = R A/ρ  (1)

Where:

R: resistance of the wire

A: Cross section area of the wire

ρ: resistivity of the copper wire.

With this expression we realize that we do not have the area of the cross section, and the resistance of the wire either.

To calculate the area we can use the following expression:

A = πr²    (2)

If the diameter is 0.25 mm, then the radius is half, 0.125 mm. Converting this in meter it will have to be:

0.125 /1000 = 0.000125 m

Replacing we have:

A = π(0.000125)²

A = 4.91x10⁻⁸ m²

The reported resistivity of a copper wire is 1.68x10⁻⁸ Ω.m, so we just need to determine the resistance, which can be found using Ohm's law:

R = V/I  (3)

Replacing (3) into (1) we have:

L = (V * A) / (I * ρ) (4)

So finally, the length of the copper wire will be:

L = (12 * 4.91x10⁻⁸) / (4.2 * 1.68x10⁻⁸)

L = 8.35 m

Hope this helps

Work is a measurement of the transfer of which of the following?
A. Impulse
B. Power
C. Energy

Answers

Answer:Enegry

Explanation:Energy transfer is used to do work

What was the average speed in km/h of a car that travels 788 km in 7.1 h?

Answers

Answer:

Well the answer is 111 (rounded) km/h

Explanation:

788/7.1 is 110.9... so if you round it it would equal 111.

A transformer used on a 220V line deliver 1.5A at 1800V. what current is drawn from the line assuming the ideal Transformers

Answers

The current drawn from the line, assuming an ideal transformer, is approximately 12.27A.

In an ideal transformer, the power remains the same before and after transformation. Therefore, we can use the power equation to determine the current drawn from the line.

The power equation for a transformer is given by:

P1 = P2

where P1 is the input power, P2 is the output power.

Given that the input voltage (V1) is 220V, the input current (I1) is unknown, the output voltage (V2) is 1800V, and the output current (I2) is 1.5A, we can rewrite the equation as:

V1 * I1 = V2 * I2

Substituting the known values:

220V * I1 = 1800V * 1.5A

Simplifying:

I1 = (1800V * 1.5A) / 220V

I1 ≈ 12.27A

Therefore, the current drawn from the line, assuming an ideal transformer, is approximately 12.27A.

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You will need to know that Force (N) is equal to mass (kg) multiplied by acceleration (m/s2) for this problem. A fearless space explorer has discovered a new planet with a frictionless surface! He pushes a large crate with a mass of 220kg a distance of 5.3 km, as he does so, it accelerates at a rate of 2m/s2. How much work has our intrepid hero done?

Answers

Our intrepid hero has done 2332 kJ of work pushing the crate on the frictionless surface of the newly discovered planet.

The work done by the space traveler can be determined utilizing the recipe W = F x d, where W is work, F is power, and d is distance. To find the power, we can utilize the recipe F = m x a, where m is mass and an is speed increase. Connecting the given qualities, we get F = 220 kg x 2 m/s^2 = 440 N.

Presently we can compute the work done by increasing the power by the distance: W = 440 N x 5.3 km = 2332 kJ. Accordingly, our fearless legend has done 2332 kJ of work pushing the container on the frictionless surface of the newfound planet.

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A steel cylinder of length 10 cm, mass 160 g and density 8 g/em. The radius of the cylinder is​

Answers

Answer:

0.8cm

Explanation:

Volume = mass/density = 160/8 = 20cm³

Volume = πr²h

r² = v/πh = 20/10π =0.64

r = √0.64 = 0.8

If a shopping cart is pushed by a person exerting 50 J of work on it, what is the energy transfer to the shopping cart if it has a mass of 2 kg?

A. 52 J
B. 50 J
C. 25 J

Answers

Answer:

B

Explanation:

how is work and energy inter-related?? (in simple words)​

Answers

Answer:

The work and energy is inter- related because if we are energetic then only we are able to work.

People who are weak and not energetic cannot work continuously.

Explanation:

hope this helps you....

A flower as an object in front of a convex mirror. A smaller upright flower closer to the mirror. A smaller upright flower close to the mirror on the other side of the mirror. An inverted smaller flower on the on the other side of the mirror just past the focal point. An inverted flower the same size as the object right below it.
Which flower would most likely represent the image formed by the mirror? Justify your answer.

Answers

Answer:

There are 13 a

Explanation:

That's the answer how many a r there

Answer:

the convex mirror will produce image 3. the image is virtual and is now behind the mirror and it becomes smaller but remains upright.

Explanation:

30 A student blows air through a liquid using a straw. This causes the liquid to evaporate quickly and therefore to cool. Which statement explains why the remaining liquid cools?
A Slower-moving molecules are carried away by the air bubbles. B The air molecules conduct heat from the liquid. C The air sets up convection currents in the liquid. D The molecules with most energy leave the liquid.​

Answers

The correct statement is B that explains why the remaining liquid cools when a pupil blows air through it using a straw .

The air  molecules conduct heat from the liquid.   When air is blown through a liquid, the moving air  motes come into contact with the liquid  motes and transfer some of their kinetic energy to them.

This transfer of energy results in the liquid  motes gaining kinetic energy, which in turn causes the liquid to dematerialize  snappily, leading to cooling.  

Also, the air molecules also carry away some of the heat from the liquid's  face, performing in  farther cooling. This process is called convection and involves the movement of liquid due to the temperature differences created by the blown air.  

Thus, Option B, which states that the air  motes conduct heat from the liquid, is the most accurate explanation for why the remaining liquid cools.

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a girl whose mass is 40kg walk up a flight of 20steps each 15mm hight in 10seconds.find power developed by the girl showing the solution

Answers

Answer: Approximately 11.76 joules per second

=========================================================

Work Shown:

Mass = 40 kg

Force pulling down = (mass)*(gravity) = 40*9.8 = 392 newtons

Roughly 392 newtons of force are pulling down on her.  

To climb the steps, she must apply 392 newtons of force upward.  

---------------

Displacement = 20*(15 mm) = 300 mm = 0.3 m

Work = Force*Displacement

Work = 392*0.3

Work = 117.6 joules of energy

---------------

Power = (Work)/(Time)

Power = (117.6 joules)/(10 seconds)

Power = (117.6/10) joules per second

Power = 11.76 joules per second, which is approximate

Which of the following helps prevent and cope with heat-related conditions?

Drinking water


Wear proper clothing


Rest frequently


all of the above

Answers

drinking water is ur answer.

An action which would help in preventing and coping with heat-related conditions is: A. Drinking water.

What is heat?

Heat can be defined as a form of energy that is transferred from a physical object (body) to another, as a result of a difference in temperature. Also, heat is a condition of weather that is generally characterized by a high degree of temperature.

This ultimately implies that, heat is most likely to cause dehydration and high body temperature.

In order to prevent and cope with heat-related conditions, you should ensure that you drink water at regular intervals for hydration.

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Semiconductors can simplistically be thought of as an intermediate state between insulators and conductors. In a semiconductor, charges are normally bound in place (like in an insulator), but when injected with enough energy, the charges can move freely (like in a conductor). Given what we have observed about the behavior of conductors and insulators in this exploration, what would happen if we replaced the glass rod with a semiconductor material

Answers

Answer:

The semiconductor rod will conduct electricity

Explanation:

Glass rod does not conduct electricity. Glass is one of the best insulators of electricity. But when a glass rod is replace with a semi conductor, then the semi conductor rod starts conducting electricity as the electrons are free to move.

Semi conductors are special materials in which the energy band lies in between the conductor and the non conductor. The conductivity of a semi conductor increases with the increasing temperature.

In an semi conductor the electrons are free to move and as they starts moving they conduct electricity. Thus a semi conductor rod replacing a glass rod conducts electricity.

f body with a mass of 6kg. (Ans: When we throw a stone with 12 N force to produce an acceleration of m/s², what is the mass of 6 kg? (Ans: 1.5kg) Calculate the acceleration produced when a force of 48 N is What They m​

Answers

a. When the force = 12 N, mass = 6 kg, the acceleration is a = 2 m/s²

b. When the force = 48 N, mass = 6 kg, the acceleration is a = 8 m/s².

What is the acceleration of the body?

The acceleration of the body is calculated by applying Newton's second law of motion as follows;

F = ma

where;

F is the force applied to the objectm is the mass of the objecta is the acceleration of the object

a = F / m

when the force = 12 N, mass = 6 kg, the acceleration is calculated as;

a = 12 N / 6 kg

a = 2 m/s²

when the force = 48 N, mass = 6 kg, the acceleration is calculated as;

a = 48 N / 6 kg

a = 8 m/s²

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A seesaw is balanced on a pivot point. If a 20 kg child sits 1 meter from the pivot point, how far from the pivot point should a 40 kg child sit in order to balance the seesaw?​

Answers

Okay, here are the steps to solve this problem:

1) The seesaw is balanced when the sum of moments is 0.

2) The moment created by a force depends on the force and the perpendicular distance from the pivot point.

3) The 20 kg child sits 1 meter from the pivot. So its moment is 20 * 1 = 20 kg*m.

4) We want to find the distance for the 40 kg child to create a moment that balances the 20 kg child's moment.

5) So the moment of the 40 kg child must be 20 kg*m.

6) The moment depends on force and distance. We know the force is 40 kg.

7) So we set: 40 kg * distance = 20 kg*m

8) And solve for the distance: distance = 20 / 40 = 0.5 meters

Therefore, for the seesaw to balance with a 20 kg child 1 meter from the pivot and a 40 kg child on the other side, the 40 kg child should sit 0.5 meters from the pivot point.

Let me know if you have any other questions!

Plzz answer correctly

Answers

“X”. Is the answer. Tell me if you got it correct

The "seeing" ability, or resolution, of radiation is determined by its wave length

The mass of an electrons is 9.10939 * 10^-31 kg and Planck's constant is 6.62607 * 10^-34 Js

If the size of an atom is an the order of 0.08 nm, how fast must an electron travel to have a wavelength small enough to "see" an atom? Answer in the units of m/s

Answers

ANSWER: 0.08nm !
Have a good night/day

A 0.15 kg baseball is traveling at 40 meters per second (about 90 miles per hour) if the ball comes to a complete stop when it hits the catchers mitt, what is the change in velocity?

Answers

Answer:

Please find attached pdf

Explanation:

Pls solve 50 points!!!!!!!!!​

Answers

Refer to the attachment for solution

The blood pressure at your heart is approximately 100 mm Hg. As blood is pumped from the left ventricle of your heart, it flows through the aorta, a single large vessel with a diameter of about 2.5 cm. The speed of blood flow in the aorta is about 60 cm/s. Any change in pressure as blood flows in the aorta is due to the change in height: the vessel is large enough that viscous drag is not a major factor into successively smaller and smaller blood vessels until it reaches the capillaries. Blood flows in the capillaries at the much lower speed of approximately 0.7 mm/s. The diameter of capillaries and other small blood vessels is so small that viscous drag is a major factor..Because the flow speed in your capillaries is much less than in the aorta, the total cross-section area of the capillaries considered together must be much larger than that of the aorta. Given the flow speeds noted, the total area of the capillaries considered together is equivalent to the cross-section area of a single vessel of approximately what diameter?

a. 25 cm
b. 50 cm
c. 75 cm
d. 100 cm

Answers

Answer:

The correct option is c. 75 for this question

Explanation:

The correct option is c. 75 for this question:

Let's see how.

Continuity Equation is given as:

AcVc = AaVa

Where,

Aa = Area of Aorta

Ac = Area of the capillary

Va = Fluid speed in Aorta

Vc = Fluid speed in Capillary

So,

Assuming the fluid is the ideal one/

[tex]\pi[/tex]/4 [tex]Dc^{2}[/tex] Vc= [tex]\pi[/tex]/4 [tex]Da^{2}[/tex] Va

[tex]Dc^{2}[/tex] Vc= [tex]Da^{2}[/tex] Va

Dc = Da x [tex]\sqrt{\frac{Va}{Vc} }[/tex]

Dc = 2.5 cm x [tex]\sqrt{\frac{60 cm}{0.07 cm } }[/tex]

Dc = 73.192 cm

Dc = 75 approximately

Hence, the diameter of the capillary = 75 cm approximately  

I love you


Please answer my question :-)

Answers

Answer:

A- Astronomical body

C- Galaxy

D- Comet

B- Moon

Hope this helps you! Have a great day!

Answer:

1. A

2. C

3. D

4. B

Explanation:

The low-frequency speaker of a stereo set has a surface area of and produces 1W of acoustical power. What is the intensity at the speaker

Answers

Answer:

      I =  [tex]\frac{1}{4\pi \ r^2}[/tex]

we see the intensity decreases with the inverse of the distance squared

Explanation:

Intensity is defined as power per unit area,

           I = P / A

in this case we have that the sound is emitted in a spherical form therefore the area is

           A = 4 pi r2

therefore the intensity is

          I =  [tex]\frac{1}{4\pi \ r^2}[/tex]

as we see the intensity decreases with the inverse of the distance squared

can you ans please ?????????????????????????????????????????

Answers

Answer:

ans a

Explanation:

as the circuit should not be completed until switch is closed

Stacy collected the data shown in the table.
Number of Washers Total Mass Total Force
0.6 kg 5.9 N
2
1.2 kg 11.8 N
3
1.8 kg 17.6N
4
2.5 kg 24.5 N
5
3.2 kg 31.4 N
What's the general relationship between mass and gravitational force?

Answers

Answer:

1.8 Kg 17.6N

Explanation:

I don't know the explanation hahaha

Answer:

The gravitational force on an object increases as the object’s mass increases.

Explanation:

This is the answer on Edmentum. :)

two small identical conducting spheres have charges of 2.0x10-9C and - 0.5x109 C respectively when they are placed 4cm apart, what is the force between them? If they are brought into contact and then separated by 4cm, what is the force between them? ​

Answers

Answer:

6

Explanation:

nothingnsbejejjdbsbzbawkje

A Van de Graaff generator is one of the original particle accelerators and can be used to accelerate charged particles like protons or electrons. You may have seen it used to make human hair stand on end or produce large sparks. One application of the Van de Graaff generator is to create x-rays by bombarding a hard metal target with the beam. Consider a beam of protons at 1.10 keV and a current of 4.65 mA produced by the generator.
(a) What is the speed of the protons?
(b) How many protons are produced each second?

Answers

Solution :

Given that :

The energy of the protons, K.E. = 1.10 keV

                                                    [tex]$= 1.10 \times 10^3 \ eV $[/tex]

The current produced by the generator is I = 5 mA

                                                                        [tex]$= 5 \times 10^{-3} \ A$[/tex]

Now [tex]$1 \ eV = 1.6 \times 10^{-19 }\ J$[/tex]

Mass of the proton, m = [tex]$1.67 \times 10^_{-27} $[/tex] kg

Charge of the proton, [tex]$q_p = 1.6 \times 10^{-19} \ C$[/tex]

a). Therefore using the formula for K.E. we can find out the velocity of the proton.

[tex]$K.E. =\frac{1}{2}mv^2$[/tex]

[tex]$v=\sqrt{\frac{2K.E.}{m}}$[/tex]

[tex]$v=\sqrt{\frac{2\times 10^3 \times 1.6 \times 10^{-19}}{1.67 \times 10^{-27}}}$[/tex]

  [tex]$= 4.38 \times 10^5 \ m/s$[/tex]

b). We know that the current is :

 [tex]$I=\frac{\Delta Q}{\Delta t}$[/tex]

Therefore, the total charge in one second is given by :

[tex]$\Delta Q = I \times \Delta t$[/tex]

     [tex]$= 5 \times 10^{-3} \times 1$[/tex]

    [tex]$= 5 \times 10^{-3}\ C$[/tex]

So, the number of protons in this charge is given by :

[tex]$n = \frac{\Delta Q}{q_p}$[/tex]

  [tex]$=\frac{5 \times 10^{-3} }{1.6 \times 10^{-19}}$[/tex]

  [tex]$= 3.13 \times 10^{16}$[/tex] protons

How does altitude from the surface of earth affect the time period of a simple pendulum

Answers

Answer:

because the strength of Earth's gravitational field is not uniform everywhere, a given pendulum swings faster, and thus has a shorter period, at low altitudes and at Earth's poles than it does at high altitudes and at the Equator.

What is the equivalent resistance of this network?

Answers

The equivalent resistance of the circuit network is determined as 1.6 ohms.

What is the equivalent resistance of the network?

The equivalent resistance of the circuit network is calculated as follows;

To determine the equivalent resistance of the circuit, we will decompose the circuit into series and parallel components.

The equivalent resistance at J₄ is calculated as follows;

The two 4 ohms are in series;

J₄ = 4Ω + 4 Ω = 8 Ω

The equivalent resistance at J₁ is calculated as follows;

The 4 ohms and 0 ohm are in series;

J₁ = 0 Ω + 4 Ω = 4 Ω

The equivalent resistance at J₂ and J₃ is calculated by applying the formula for parallel resistors;

1/Re = 1/J₁  + 1/J₄ + 1/J₂,₃

1/Re = 1/4 + 1/8 + 1/4

1/Re = 5/8

Re = 8/5

Re = 1.6 ohms

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during SHM an object has_____________at mean position
(a)P.E=0,K.E=0
(b)P.E=K.E
(c)P.E=MAX,K.E=0
(d)P.E=0,K.E=MAX

Answers

During Simple Harmonic Motion (SHM), an object at the mean position has potential energy (P.E)=0 and kinetic energy (K.E)=MAX. So, the correct option is (d).

In Simple Harmonic Motion (SHM), an object oscillates about a mean position, with the motion characterized by a restoring force proportional to its displacement from the mean position.

When the object is at the mean position, it has maximum kinetic energy (K.E) because it is at its maximum velocity, and it has zero potential energy (P.E) since it is not displaced from the equilibrium position.

As the object moves further from the mean position, its P.E increases, and K.E decreases. The correct answer to the question is option (d), where P.E=0 and K.E=MAX at the mean position.

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What information do you need to collect in order to study an object’s motion?

Answers

The information we will need to demonstrate that an object is in motion include;

initial position of the objectfinal position of the objecttime difference between the initial and final position of the object

What is an object in motion?

An object is in motion when it changes its position with time, relative to a stationary object.

Mathematically, we can use the following equation to demonstrate the motion of an object.

v = Δx / Δt

where;

Δx is the change in the position of the objectΔt is the change in time of motion of the object

So the data we will need to demonstrate that an object is in motion include;

initial position of the objectfinal position of the objecttime difference between the initial and final position of the object

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fill in the blank. ___ are expanding the possibilities of data displays as many of them allow users to adapt data displays to personal needs. consider two random variables x and y with joint pmf given by pxy(k,l)=12k l,for k,l=1,2,3,... show that x and y are independent and find the marginal pmfs of x and y. find p(x2 y210) Consider the reaction described in the first problem. First, some notation: H+H H2: n1 = density of free H atoms = N1/V n2 = density of H2 molecules = Nz/V N = total number of particles = N1 + N2 F = total free energy = F1+F2 = free energy of all free H atoms (F1) plus the free energy of all H2 molecules (F2) Choose expression(s) that can be used to calculate the equilibrium state of the reaction. A. (F1/N1) .V=0 B. (F2/N2) .V=0 C. (F/N2) .V=0 D. (F/N1) .V=0 Why is the banks recent borrowing of 30,000 gold napoleons a significant detail? find the first four terms of the sequence given by the following an= 8(2)^n-1 , n= 1,2,3 Wildhorse Co. issued$720,000,10-year,5%bonds at 103. (a) Prepare the journal entry to record the sale of these bonds on January 1, 2025, (List all debit entries before credit entries, Credit account titles are outomatically indented when amount is entered. Do not indent manually. If no entry is required, select "No Entry" for the account titles and enter 0 for the amounts.) let be the part of the plane 3x 4y z=1 which lies in the first octant, oriented upward. find the flux of the vector field f=3i 3j 1k across the surface s. In which of these areas would you be most likely to find the Highest concentration of people who practice Hinduism? why don't plasmids with the cloned gene have a complete lac-z gene? analysis of customer account balances by the length of time they have been unpaid1. Aging of receivables 2. Bank credit card Emphasizes expected net realizable value of accounts receivable 3. Promissory note 4. Trade receivables Amounts owed by customers from the sale of goods and services 5. Percentage of receivables approach give an efficient greedy algorithm that finds an optimal vertex cover for a tree in linear time. Water is a polar solvent and hexane is a non-polar solvent. Determine which solvent each of the following is most likely to be soluble in. Potassium chloride, KCL Octane, C8H18, a compound in gasoline Sodium bicarbonate, NaHCO3 For the system of differential equations x'(t) = -9/5 x + 5/3 y + 2xy y' (t) = - 18/5 x + 20/3 y - xy the critical point (x_0, y_0) with x_0 > 0, y_0 >, y_0 > is x_0 = 2/3 y_0 = 2/5 Change variables in the system by letting x(t) = x_0 + u(t), y(t) = y_o + v(t). The system for u, v is Use u and v for the two functions, rather than u(t) and v(t) For the n, v system, the Jacobean matrix at the origin is A = -1 3 -4 6 You should note that this matrix is the same as J(x_0, y_0) from the previous problem. Sheep were the best choice for the first domesticated livestock. Sheep wool was the most widely used animal stock. Sheep were communal animals with a varied diet. Sheep were often used as mythological and religious symbols. Sheep descended from a wild species in Europe and Asia. how many elements are there of order 2 in a8 that have the disjoint cycle form (a1a2)(a3a4)(a5a6)(a7a8)? Solve the initial value problem: y 2y y=(t1), y(0)=0, y(0)=0 use h(ta) for the heaviside function shifted a units horizontally. it is stated that a higher current ratio is better. there are a couple reasons that this is not completely true. what are they? a soap bubble (n = 1.33) is floating in air. if the thickness of the bubble wall is 114 nm, what is the wavelength of the light that is most strongly reflected? a particle travels in s straight line with a acceleration of a=(6-0.5s^2) mm/s^2 initially (at t=0), the position of the particle is s0 = 1m, and its velocity is v0 = 5m/s. For the time interval 0 t 6 seconds, please do the following:(a) Sketch the motion of the particle.Calculate the particle's (b) displacement, (c) average velocity, (d) total distance traveled, and (e) average speed. the function f is defined by f(x)=1 nsinx for all real numbers x, where n is a positive constant. if the amplitude of f is 4, what is the maximum value of f ?