Sphere B of charge +8q is at a distance a to the left of sphere A, and sphere C of charge +2q is to the right of sphere A.

What must be the distance from sphere A to sphere C on the right such that the original small sphere remains at rest?

Answers

Answer 1

Answer:

The distance from sphere A to sphere C on the right such that the original small sphere remains at rest is a/2

Explanation:

The force of a charge at a point is given as follows;

From an online source, we have;

E₁ + E₂ = 0

The electric field due to the sphere B of charge +8q = E₁

[tex]E_1 = \dfrac{k \cdot (8 \cdot Q)}{a^2}[/tex]

The position of the sphere B = A distance 'a' to the left of 'A'

The electric field due to the sphere C of charge +2q = E₂

The position of the sphere C = A distance to the right of 'A'

Therefore, for the electric field strength of sphere 'B' at 'A', we have;

[tex]E_1 = \dfrac{k \cdot (8 \cdot Q)}{a^2} = 4 \times \dfrac{k \cdot (2 \cdot Q)}{a^2}[/tex]

Let 'x' be the distance of the +2q charge to the right of 'A', we have;

[tex]E_2 = \dfrac{k \cdot (2 \cdot Q)}{x^2}[/tex]

Therefore, for the force of the +2q charge to balance the +8q charge at C, we have;

[tex]\dfrac{k \cdot (2 \cdot Q)}{x^2} = \dfrac{k \cdot (8 \cdot Q)}{a^2} = 4 \times \dfrac{k \cdot (2 \cdot Q)}{a^2}[/tex]

[tex]\therefore \ \dfrac{1}{x^2} = \dfrac{4}{a^2}[/tex]

[tex]\therefore \ \sqrt{ \dfrac{1}{x^2} }= \sqrt{\dfrac{4}{a^2}}[/tex]

[tex]\dfrac{1}{x} = \dfrac{2}{a}[/tex]

[tex]x= \dfrac{a}{2}[/tex]

Therefore, the distance, 'x', from sphere A to sphere C on the right such that the original small sphere remains at rest is x = a/2.


Related Questions

The displacement current density between the plates of a parallel-plate capacitor is uniform and has a magnitude of 19.9 A/m2 as the capacitor is being charged. What is dE/dt, the rate at which the electric field strength is changing between the plates

Answers

Answer:

[tex]\dfrac{dE}{dt} \approx 2.261 \overline {36} \times 10^{12} \ V/ms[/tex]

Explanation:

The parameters given in the question are;

The magnitude of the displacement current density between the plates of a parallel-plate capacitor, J = 19.9 A/m²

We have;

[tex]i_d = \epsilon _0 \times \dfrac{d \Phi_E}{dt} =\epsilon _0 \times A \times \dfrac{d E}{dt}[/tex]

Therefore;

[tex]\therefore \dfrac{dE}{dt} =\dfrac{i_d}{\epsilon _0 \cdot A} =\dfrac{J}{\epsilon_0} = \dfrac{19.9}{8.8 \times 10^{-12}} \approx 2.261 \overline {36} \times 10^{12}[/tex]

Therefore;

[tex]\therefore \dfrac{dE}{dt} \approx 2.261 \overline {36} \times 10^{12} \ V/ms[/tex]

the atomic number of Krypton si 36. if the mass number of a Krypton atom si 84, which table shows the number of subatómico inside anda outside the nucleus of the Krypton atom?

Answers

Answer:

A

Explanation:

You did not list the options. However, knowing the possible options from having seen the material myself - I can infer that the answer option is A. I apologize sincerely if this is wrong.

Which best describes the effect of force on the motion of an object

Answers

Answer:

change of speed or direction

What force can be seen when North Pole is brought near to South Pole

Answers

Answer:

Explanation:

The answer is magnetic force

Answer:

Magnetic forces which causes attraction between the two poles

Once a player has stopped dribbling, how many steps are they allowed to take at maximum?

Answers

Answer:

2 steps

Explanation:

:)

this makes basketball interesting

Answer:

2 steps tops. If it is more that is called "traveling".

Explanation:

PLSSSS HELPPPP PLSSSS 25 POINTS PLS I REALLY NEED THIS AND GET THEM RIGHT SO PLS DONT ANSWER IF U DONT KNOW

Answers

Answer:

1- C   2-B    3-B   - these are ur best answers

Explanation:

Answer:

1. C(bone structure)

2. B (Common ancestor)

3.D (DNA)

Explanation:

- 3000 J of work is done on a 2kg object over a distance of 10m. What is the force acting on the object?
A.1500N
B.300N
C.3000N
D.600ON

Answers

The answer is B. 300N

Find the wavelength of a transverse wave the frequency of the wave motion is 3 Hz and the wave travels with a velocity of 48 m/s .

Answers

Answer:

16 m

Explanation:

Neutrons have a
charge______.
Answer here

Answers

Answer:

neutral

Explanation:

Which layer of the earth is the thickest?

A) Crust
B) Mantle
C) Outer core
D) Inner core

Answers

C) OUTER CORE

IT IS THE THICKEST

No it is B the Mantle

Hich type of electromagnetic waves are dangerous enough to be used to kill cancerous cells? gamma rays visible light infrared light microwaves

Answers

Answer:

gamma rays

Explanation:

Electromagnetic waves is a propagating medium used in all communications device to transmit data (messages) from the device of the sender to the device of the receiver.

Gamma rays is a type of electromagnetic waves that are dangerous enough to be used to kill cancerous cells.

In the electromagnetic spectrum, gamma rays are known to have the greatest amount of energy and shortest wavelength among the wave particles. They are generally produced through the disintegration of radioactive elements.

Answer:

A. Gamma rays

Explanation:

Proof:

PLEASE HELP ASAPPPP!!!!!


Katrina replaced the batteries in her camera with rechargeable ones. Later as she was recharging the batteries, Katrina told her mother “I am creating energy so that I can use these batteries again!” What was Katrina actually doing?

removing energy
destroying energy
transforming energy
repairing energy

Answers

She was actually removing energy

What is the name of the process where rocks are being broken down into small grains of sediment or soil?
A) Weathering
B) Erosion
C) Deposition
D) Uplifting

Answers

Answer:

a. weathering

Explanation:

weathering is the breakdown of rocks into sediments and soil

how far will an automobile move if 168000 j of work is created by 2000 n of force

Answers

Answer:

Distance = 84 meters

Explanation:

Given the following data;

Work done = 168,000 Joules

Force = 2,000 Newton

To find the distance covered by the automobile, we would use the formula;

[tex] Workdone = force * distance [/tex]

Substituting into the formula, we have;

[tex] 168000 = 2000 * distance [/tex]

[tex] Distance = \frac {168000}{2000} [/tex]

Distance = 84 meters


A6 kg mass moving at 10m/s collides with a 4 kg mass moving in the
same direction at 4 m/s. After the collision both the 6 kg and 4 kg mass
continue to move in the same direction. If the 4 kg mass is moving at
10m/s, what is the speed of the 6 kg mass?

Answers

Answer:

Explanation:

mdeemmkdkwdmwdmw

Who wants to do my missing physics work

Answers

Answer:

WHAT IF I HATE PHYSICS ?

What 2 materials are the planets in our solar system made of?

Please answer this quickly please please please please please please please

Answers

they are made up of rock and gas

Answer:

Hydrogen and Helium. 75% Hydrogen and 25% Helium.

Explanation:

describe what happens when light strikes a translucent material, transparent material , opaque material . give one specific example of an object that has each type of surface.

Answers

Answer: according to https://www.doe.virginia.gov When light strikes translucent materials, only some of the light passes through them. The light does not pass directly through the materials. ... Opaque objects block light from traveling through them. Most of the light is either reflected by the object or absorbed and converted to thermal energy.

Explanation:

Explain how tangential speed depends on distance.

Answers

The equation v=rω says that the tangential speed v is proportional to the distance r from the center of rotation. ... This makes sense because a point farther out from the center has to cover a longer arc length in the same amount of time as a point closer to the center.

Which term describes a long-term weather pattern?
air mass
climate
humidity
front

Answers

Answer:

Explanation:

The answer is Climate

Answer:

climate

Explanation:

Climate is defined as an area's long-term weather patterns. The simplest way to describe climate is to look at average temperature and precipitation over time.

As a projectile travels down its trajectory path, it covers _____.

A. more distance each second
B. a distance that depends on how it was dropped
C. the same amount of distance each second
D. less distance each second

Answers

Answer:

it is C.

definitely C

Explanation:

if I am right.

plz help me out and give brainliest

What happens to the magnetic force as an object gets further away from the magnetic field?

Answers

The strength of magnetic field decreases as we move away from a magnet.

PLS HELP, WILL GIVE BRAINLIEST
What subatomic particle has a negative charge and is found outside of the nucleus?
a. electron
b. nucleus
c. neutron
d. proton​

Answers

Answer:

A

Explanation:

Hope this helps and have a wonderful day!!!

Answer:

A. electron

Explanation:

The electron is the only negatively charged particle in the answers. The proton is positive. The nutron has a neutral charge. The nucleus isn't really a particle. It's a group of protons and neutrons.

Which of the following describes a seamount?
A. ocean floor at the edge of a continental margin
B. underwater mountain range
C. sediment piled at the base of the continental slope
D. underwater volcano that is more than 1 km high

Answers

Answer:

B. underwater mountain range

Answer:

an underwater mountain range

What electromagnetic waves are used in these applications?

Diagnosing illnesses:

Warming and cooking food:

Transmitting data from remote controls to televisions:

Answers

Diagnosing illnesses: Radio Waves
Warming and cooking food: microwaves
Transmitting data from remote controls to televisions: infrared waves

The electromagnetic waves are used in these applications are:

Diagnosing illnesses: X-rays.

Warming and cooking food:  infrared waves.

Transmitting data from remote controls to televisions: Radio waves.

What is electromagnetic waves?

The oscillations between an electric field and a magnetic field produce waves known as electromagnetic waves, or EM waves. In other words, magnetic and electric fields oscillate to form electromagnetic (EM) waves.

When an electric field interacts with a magnetic field, electromagnetic waves are created. Therefore, they are referred to as "electromagnetic" waves. An electromagnetic wave's electric field and magnetic field are perpendicular to one another (at right angles). Additionally, they are perpendicular to the EM wave's direction. An electromagnetic wave can pass through any medium, including vacuum, solid materials, and air. It can spread or move from one area to another without the use of a medium.

Learn more about electromagnetic wave here:

https://brainly.com/question/3101711

#SPJ5

the nearest star to our planet other than the sun , is 4.4 light year away.One light-year is the distance light travels in a year.
* HOW LONG DOES IT TAKE FOR TO REACH US?
* SUGGEST WHY LIGHT-YEAR IS USED AS THE UNIT FOR MEASURING THE DISTANCE BETWEEN DISTANT STARS AND OUR PLANET, RATHER THAN THE UNIT 'KILOMETER,

Answers

Answer:

1606

The main reason for using light years, however, is because the distances we deal with in space are immense. If we stick to miles or kilometers we quickly run into unwieldy numbers just measuring the distance to the nearest star: a dim red dwarf called Proxima Centauri that sits a mere 24,000,000,000,000 miles away!

Explanation:

Scott is making a chart to show the difference between chemical reactions and nuclear reactions. Which part of his chart is incorrect? Chemical Reaction Nuclear Reaction Line 1 Happens in the nucleus of atoms Happens between atoms Line 2 Forms new compounds Forms new atoms and radioactive particles Line 3 Involves small amounts of energy Involves large amounts of energy

Answers

Answer:

The incorrect part of the chart is;

Line 1

Chemical [tex]{}[/tex] Reaction   [tex]{}[/tex]                                   Nuclear Reaction

Line 1 Happens in the nucleus of atoms   [tex]{}[/tex] Happens between atoms

Explanation:

The given chart can be presented as follows;

  Chemical Reaction [tex]{}[/tex]                               Nuclear Reaction

1. Happens in the nucleus of atoms    [tex]{}[/tex]   Happens Between atoms

2. Forms new compounds [tex]{}[/tex]                     Forms new atoms

3. Involves small amounts of energy [tex]{}[/tex]    Involves large amounts of energy

From the above chart, line 1 is incorrect because a chemical reaction happens between the valence electrons of the reacting atoms while a nuclear reaction is the reaction that takes place between the nucleus of two or more atoms or the nucleus of an atom and a subatomic particle to produce one or more than new nuclide of a new atom with a change in the mass of the nucleus being represented by the large amount of energy in the reaction. Therefore, a nuclear reaction takes place in the nucleus of an atom, forms new atoms and involves large amounts of energy

The correct arrangement is presented as follows;

  Chemical Reaction [tex]{}[/tex]                              Nuclear Reaction

1. Happens Between atoms    [tex]{}[/tex]                Happens in the nucleus of atoms

4
12. The term, bullet, is often incorrectly applied to the:
a. primer, which includes primer powder, gunpowder, the bullet, and the
casing material that holds them all together.
b. cartridge, which includes primer powder, gunpowder, the bullet, and the
casing material that holds them all together.
c. anvil, which includes primer powder, gunpowder, the bullet, and the casing
material that holds them all together.
d. headstamp, which includes primer powder, gunpowder, the bullet, and the
casing material that holds them all together.

Answers

Don’t open file it’s probably a hacker

Answer:

B. Cartridge, which includes primer powder, gunpowder, the bullet, and the

casing material that holds them all together.

Explanation:

It is right trust me.

"On a good day, it takes Mr. Hess 23 minutes (1380 seconds) to drive the 12 miles (19,300 meters). What is his average velocity on the way to school?"

I uh, don't understand this at all. If someone could help me solve this, I'd greatly appreciate it!

Answers

Answer:

his average velocity is

[tex]v = \frac{19300}{1380} = 13.9855(m \div s)[/tex]

Explain why gases are more compressible than solid

Answers

Answer:

If we put pressure on a solid or a liquid, there is essentially no change in volume. ... The kinetic-molecular theory explains why gases are more compressible than either liquids or solids. Gases are compressible because most of the volume of a gas is composed of the large amounts of empty space between the gas particles.

Explanation:

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