A dipole is centered at the origin, with its axis along the axis, so that at locations on the axis, the electric field due to the dipole is given by E = (0, 1/4 pi epsilon_0 2qs/gamma^3, 0) v/m The charges making up the dipole are q_1 = +4 nC and q_2 = nC, and the dipole separation is s = 8 mm. What is the potential difference along a path starting at location p_1 = (0, 0.04, 0) m and ending at location P_2 = (0, 0.05, 0) m?

Answers

Answer 1

Answer:

Explanation:

Given that:

[tex]q_1 = + 4nC \\ \\ q_2 = -4nC \\ \\ q = 4nC[/tex]

[tex]P_1 = (0,0.04,0) m\\\\ P_2 = (0,0.05,0) m[/tex]

As [tex]q_1[/tex] [tex]\text{is nearer to }[/tex][tex]P_1 \& P_2[/tex] then [tex]q_2,q_1[/tex] [tex]\text{is positive, Thus}[/tex], [tex]E \limits^{\to}[/tex][tex]\text{ will be along the positive X-axis.}[/tex]

Recall that:

[tex]E ^{\to} = \dfrac{-dV}{dr}\implies E_y = \dfrac{-dV}{dy} \\ \\ = \int^{P_2}_{P_1}dV = -\int \limits ^{(0.05)}_{(0.04)}E_y \ dy \\ \\ \implies (V_{P_2}}-V_{(P_1)}) = \dfrac{-2q_5}{4 \pi \varepsilon _o} \int \limits ^{(0.05)}_{(0.04)} \dfrac{dy}{y^3} \\ \\ \implies (V_{P_2}}-V_{(P_1)}) = \dfrac{-2q_5}{4 \pi \varepsilon _o} \Big[ \dfrac{-1}{2y^2} \Big]^{0.05}_{0.04} \\ \\ \implies (V_{P_2}}-V_{(P_1)}) = \dfrac{q_5}{4 \pi \varepsilon _o} \Big[\dfrac{1}{y^2}\Big] ^{0.05}_{0.04}[/tex]

[tex]\\ \\ \implies (V_{P_2}}-V_{P_1}) = \dfrac{(4\times 10^{-9})(8\times 10^{-3})}{4 \pi (8.854 \times 10^{-12})} \Big [\dfrac{1}{(0.05)^2}-\dfrac{1}{(0.04)^2} \Big ]V \\ \\ (V_{P_2}}-V_{P_1}) = \mathbf{-64.71 \ volts}[/tex]


Related Questions

what is the significance of the reed dance

Answers

Answer:

brings together the unmarried girls and young women of the country to cut reeds for the annual repairs

Answer:

The Umhlanga/Reed Dance brings together unmarried girls and young women of the country to cut reeds for the annual repairs to the windbreaks of the queen mother's village. It lasts for five days, and is also symbol of the unity of the nation.

1. What is the velocity of an 250-kg that has 6,250 J of energy?


Please help

Answers

Explanation:

KE = 1/2mv^2

6,250 J =1/2(250kg) v ^2

6250 J = 125kgv^2

125kg. 125kg

v =

[tex] \sqrt{50} [/tex]

What is the energy transformation of home gas?

Answers

Answer:

The Sun transforms nuclear energy into heat and light energy.

Our bodies convert chemical energy in our food into mechanical energy for us to move.

An electric fan transforms electrical energy into kinetic energy.

The diagram shows forces acting on a boat.
Which arrow represents the direction of upthrust?

look at the photo

Answers

A

I hope this helps!!:)

The arrow A represents the direction of upthrust.

What is thrust?

Thrust is the pressure acting generally on a surface. Its SI unit is Newton (N). Thrust is the pressure that actions a plane via the air. Thrust is used to triumph over the drag of an airplane, and to conquer the load of a rocket.

As anxiety is the significance of pressure, it is measured in newtons (or now and again kilos-force) and is usually measured parallel to the string on which it applies. Thrust is a response pressure defined quantitatively by means of Newton's.

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definition of angle of incidence​

Answers

The definition of incidence is In geometric optics, the angle of incidence is the angle between a ray incident on a surface and the line perpendicular to the surface at the point of incidence, called the normal.

The amount of matter in an object is mass or weight

Answers

Answer:

mass

Explanation:

Mass, hope this helps

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What is the numerical value of the universal gravitational constant?

A) 9.8
B) 6.673 X 10-11
C) 6.3781 X 106
D) 0

Answers

The answer is B 6.673 X 10 - 11

Putting a beaker of water in a microwave and turning it on for a minute or two will increase the temperature of the water. Describe an experiment to investigate the relationship between the time the microwave is on and the increase in temperature of water in a beaker. In your answer, include: The equipment you will use The measurements you will take The safety precautions you will take

Answers

Answer:

The equipment to use is: a beaker, a fixed amount of water, a thermometer.

The mass of water, the time, the temperature for each time should be noted and a graph of Temperature versus time should be made

Explanation:

The design of an experiment is to place the beaker in the microwave, with a good amount of water (approximately ⅔ of its capacity) and turn it on for small periods of time, generally the minimum is 30 s, quickly open the microwave, place a thermometer or better yet an infrared thermometer to measure the temperature of the water; repeat this several times.

The advantage of the infrared thermometer is that it reduces the transfer of heat between the water and the thermometer.

The mass of water, the time, the temperature for each time should be noted and a graph of Temperature versus time should be made.

The equipment to use is: a beaker, a fixed amount of water, a thermometer.

The main precaution that must be taken is not to open the microwave while it is on.

1)Move your eraser on your desk What do you feel while you turn on the eraser?

Answers

Answer:

The warmth you feel is the heat generated by the force of friction created by the rough surfaces of your hands rubbing together. As the abrasives in your eraser are rubbed against paper, friction produces heat, which helps the rubber become sticky enough to hold onto the graphite particles.

Explanation:

I hope this helps and pls mark me brainliest :)

Now consider θc, the angle at which the blue refracted ray hits the bottom surface of the diamond. If θc is larger than the critical angle θcrit, the light will not be refracted out into the air, but instead it will be totally internally reflected back into the diamond. Find θcrit.

Answers

Answer:

θ_c = 24.4º

Explanation:

To find the critical angle, let's use the law of refraction where index 1 refers to the incident medium (diamond) and index 2 refers to the medium where it is to be refracted (air)

          n₁ sin θ₁ = n₂ sin θ₂

for the critical angle the ray comes out refracted parallel to the surface, therefore the angle is

         θ₂ = 90

        n₁ sin θ₁ = n₂

        θ_c = θ₁ = sin⁻¹ [tex]\frac{n_2}{n_1}[/tex]

the index of refraction of the diamond is tabulated

       n₁ = 2.419

let's calculate

          θ_c = sin⁻¹ ([tex]\frac{1}{2.419}[/tex])

         θ_c = 24.4º

Thermal energy involves the___stored in a system


A. Friction
B.electric current
C.heat
D.electromagnetic waves


Pls help

Answers

Answer:

c. heat

Explanation:

thermal energy IS heat energy

Thermal energy is also known as heat energy.

The answer is C. Heat

What is a convex lens?​

Answers

The convex lens is a lens that converges rays of light that convey parallel to its principal axis (i.e. converges the incident rays towards the principal axis) which is relatively thick across the middle and thin at the lower and upper edges. The edges are curved outward rather than inward.

a lens bound by two spherical surfaces bulging outwards and a single piece of glass that curves outward and converges the light incident on it are both convex lenses

Rank the items from slowest to faster

Answers

Answer:since time goes to the right you look at the lines that are most pointed to the right with less distance so that would be B, A, D, C

Explanation:

Based on Nia's notes, what would be the BEST way to investigate the heat transfer based on the movement of the molecules?

Answers

Answer: Nia could measure the temperature of the bottom floor of a house to see if the heat had risen in the house due to convection.

Explanation:

Answer:

Nia could measure the temperature of the bottom floor of a house to see if the heat had risen in the house due to convection.

Explanation:

Because energy transferred by the mass motion of molecules.

31 The diagrams show the forces acting on four identical balls.
Which ball has a resultant force acting to move it to the right?

Answers

Answer:

C

Explanation:

The force applied to it is causing it to move right.

Which of the following shows a balanced nuclear reaction?

Answers

Answer:

No. 2

Explanation:

The balanced nuclear reaction is shown by the following: ²³⁷₉₃ Np[tex]\rightarrow[/tex]⁴ ₂He +²³³₉₅ Am nuclear fission reaction.

What are nuclear reactions?

There are two types of nuclear reactions which are nuclear fusion and nuclear fission .They involve the combination and disintegration of the element's nucleus respectively.

In nuclear fission, the nucleus of the atom is bombarded with electrons of low energy which splits the nucleus in to two parts .Large amount of energy is released in the process.It is used in nuclear power reactors as it produces large amount of energy.

In nuclear fusion,on the other hand, is a reaction which occurs when two or more atoms combine to form a heavy nucleus.Large amount of energy is released in the process which is greater than that of the energy which is released in nuclear fission process.

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A skier skies down a slope with an average speed of 50 km/s. How far does the skier travel in 5 minutes?

Answers

Answer:

15000000 m

Explanation:

From the question,

Speed (S) = Distance(d)/Time(t)

S = d/t....................... Equation 1

Make d the subject of the equation

d = St..................... Equation 2

Given: S = 50 km/s = 50000 m/s, t = 5 minutes = 5*60 seconds = 300 seconds

Substitute these values into equation 2

d = 50000(300)

d = 15000000 m

Hence the skier travels 15000000 m


Essential Question: How do different forces affect our daily experience? Think about us walking, gravity, etc.

Answers

Answer:

dd

Explanation:

I dont know I dont know I dont know I dont know

Bill and Nageen have each built an electric motor and they are testing them by having them lift boxes. Bill's motor lifts a box 0.39 metres in 2 seconds. Nageen's motor lifts the same box 0.35 metres in 2 seconds. Whose motor has applied more power to the box?

Answers

Answer:

Bill's motor

Explanation:

Bill's motor lifts a box 0.39 metres in 2 seconds.

Nageen's motor lifts the same box 0.35 metres in 2 seconds.

Power = Work done/time

or

[tex]P=\dfrac{mg\times h}{t}[/tex]

Power of bill's motor,

[tex]P_1=\dfrac{m\times 9.8\times 0.39}{2}\\\\P_1=1.91m\ Watts[/tex]

Power of Nageen's motor,

[tex]P_2=\dfrac{m\times 9.8\times 0.35}{2}\\\\P_2=1.71m\ Watts[/tex]

So, Bill's motor applied more power to the box.

Solve each problem. Show all work.
1. If the mass of an object is 5 kg and its velocity is 7.3 m/s, calculate the kinetic
energy

Answers

Answer:

Given

mass (m) =5kg

velocity (v) =7.3m/s

kinetic energy (k. e) =?

Form

[tex]k.e = \frac{1}{2} MV {}^{2} \\ = \frac{1}{2} \times 5 \times 7.3 {}^{2} \\ 133.23kj[/tex]

I hope this help

explain how to perform the exercise leg raises

Answers

Lift your legs up and down and redo that

5. There is a bell at the top of a tower that is 45 m high. The bell's mass is 200 kg. The bell has energy. Calculate it.





45000


900000 J


9000 J


88200 J

Answers

Answer:

Explanation:

Since the bell is at rest in an elevated position, we can assume that it only has potential energy.

U=mgh is the formula for potential energy where U=potential energy, m= mass, g=acceleration due to gravity, and h=height.

Plug in known variables....

U=200kg*9.8m/s^2*45m

U=88200 joules of potential energy or letter D.

How would you describe a crescent moon?

1.) A crescent moon is when we can view more than half of the illuminated
side of the moon.

2.) A crescent moon is when we can view less than half of the illuminated
side of the moon.

3.) A crescent moon is when we can view all of the illuminated side of the
moon.

4.) A crescent moon is when we can view none of the illuminated side of the
moon.

Answers

2 yw I know I know I’m smart

A lift that weighs 300 N moves a man with a weight of 950 N upwards by 12 m. How much work is done to move the lift this height?

Answers

Work done formula - work done(J) = Force (N) x Distance (m)
300N + 950N = 1250N
1250N x 12m = 15000J
Answer = 15000J of work is done.

The total work done to move the lift to this height if, A lift that weighs 300 N moves a man with a weight of 950 N upwards by 12 m, is 15000 Joules.

What is work done?

When an object is moved over a distance by an external force, at least a portion of that force must be applied in the direction of the displacement. This is known as work in physics.

Given:

A lift that weighs 300 N moves a man with a weight of 950 N upwards by 12 m,

Calculate the total force as shown below,

Total force = Lift weight + man weight

Total force = 300 + 950

Total force = 1250 N

Calculate the work done as shown below,

The work done = Total force × displacement by total force

The work done = 1250 × 12

The work done = 15000 Joules

Thus, the total work done is 15000 joules.

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A 20 kg cart moving at 4 m/s has how much momentum?

40 kg*m/s
40 kg*m/s

5 kg*m/s
5 kg*m/s

80 kg*m/s

Answers

Answer:

We conclude that the required momentum is 80 kgm/s.

Explanation:

Given

Mass m = 20 kgVelocity v = 4 m/s

To determine

The momentum p = ?

Important Tip:

The momentum of an object is the product of mass and velocity.

We can determine the momentum using the formula

[tex]p = mv[/tex]

where

p is the momentumm is the massv is the velocity

now substituting m = 20 and v = 4 using the equation

[tex]p = mv[/tex]

[tex]p = (20) (4)[/tex]

[tex]p = 80[/tex] kg m/s

Therefore, we conclude that the required momentum is 80 kgm/s.

The momentum of the moving cart is 80kgm/s.

HOW TO CALCULATE MOMENTUM:

The momentum of a body can be calculated by multiplying the mass of that body by its velocity. That is;

Momentum (p) = mass (m) × velocity (v)

According to this question, a 20kg cart moving at 4 m/s will have a momentum as follows:

Momentum (p) = 20kg × 4m/s

Momentum (p) = 80kg*m/s.

Therefore, the momentum of the moving cart is 80kgm/s.

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Two coulombs of charge pass through a wire in 5 seconds. Calculate the current in the wire. 1​

Answers

Answer:

0.4A.

Explanation:

Current (A) = Charge (coulomb)/Time (secs)

2 coulombs/5 secs = 0.4A

What are three types of electromagnetic waves that are used to transmit information? What types of devices are used to receive each type of wave?


Type of electromagnetic wave:


Receiver devices:

Answers

Answer:

Three types of electromagnetic waves, used to transmit various information

Explanation:

A form of energy waves having both electric & magnetic fields are Electromagnetic waves. Three types -

Radio Waves - These have longest wavelengths & transmit data through radio, satellites, radar .

Micro Waves - These have shorter wavelengths & are used in cooking appliances & predicting weather.

X rays - These have more short wavelength and can penerate soft tissues like skin & muscle, hence are used for medical examining

Answer:

Three types of electromagnetic waves that are commonly used to transmit information are:

Radio Waves:

Radio waves are used for transmitting radio signals, television signals, and wireless communication. They are received by devices such as radios, televisions, and mobile phones with radio receivers.

Microwaves:

Microwaves are used for various purposes, including satellite communication, microwave ovens, and wireless data transmission. They are received by devices such as microwave antennas, satellite receivers, and Wi-Fi routers.

Light Waves (Optical Waves):

Light waves, specifically in the form of optical waves, are used for fiber optic communication, which involves transmitting data through optical fibers. They are received by devices such as optical receivers, which convert the light signals back into electrical signals for processing.

Each type of wave requires specific devices to receive and interpret the transmitted information effectively.

Can someone answer these questions? Im really sorry for the long 15 questions but it would save me and basically my whole class.

Answers

Answer:

yes

Explanation:

???????????????

Can someone help me answer this question what type of rock will form in this type of environment. Pls don’t guess and actually answer it

Answers

Answer:

Looks like A but I'm not sure.

Explanation:

dont take my word for it I might be wrong

Answer:

deforestación en el mundo es incontrolable

The answer to anyones problems-

Answers

Answer:

POGGGGGGGGGGGGGGG

Explanation:

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