How to Rank Charge Density of Conductive Spheres?

[isukatphysics69]

Homework Statement

Sphere 1 has net positive charge Sphere 2 has net negative charge Sphere 3 has net positive charge

The ranking of net charge magnitudes are
SPHERE 3 > SPHERE 2 > SPHERE 1

All spheres are conductors


Sphere 2 is moved away from Sphere 1 and toward Sphere 3 so that 2 and 3 touch.

Rank the charge density at each labeled point A -- E, greatest first. (Note that point E indicates the left side of Sphere 3; there is no labeled point on the right side of Sphere 3.)

Rank positive charge greater than negative charge. Include zero in your ranking.
HINT: Image what would happen is Sphere 1 were removed; then, consider what effect Sphere 1 has on Spheres 2 and 3 when it is present.

Homework Equations

None

The Attempt at a Solution

Sphere 3 has net positive charge and has the highest magnitude of net charge, sphere 3 is pushing the positives in sphere 2 to point C and since sphere 3 has the most net charge points E and D now have net positive charge, sphere 1 is net positive so it is pushing the positives in sphere 2 towards sphere 3 so I think C, D & E are all positively charged now and all the negative charged has transferred to the right corner of sphere 3. since sphere 1 is net positive I feel A and B are also positively charged

 

[SammyS]

Homework Statement

Sphere 1 has net positive charge Sphere 2 has net negative charge Sphere 3 has net positive charge

The ranking of net charge magnitudes are
SPHERE 3 > SPHERE 2 > SPHERE 1

All spheres are conductorsSphere 2 is moved away from Sphere 1 and toward Sphere 3 so that 2 and 3 touch.
View attachment 230361Rank the charge density at each labeled point A -- E, greatest first. (Note that point E indicates the left side of Sphere 3; there is no labeled point on the right side of Sphere 3.)

Rank positive charge greater than negative charge. Include zero in your ranking.
HINT: Image what would happen is Sphere 1 were removed; then, consider what effect Sphere 1 has on Spheres 2 and 3 when it is present.

Homework Equations

None

The Attempt at a Solution

Sphere 3 has net positive charge and has the highest magnitude of net charge, sphere 3 is pushing the positives in sphere 2 to point C and since sphere 3 has the most net charge points E and D now have net positive charge, sphere 1 is net positive so it is pushing the positives in sphere 2 towards sphere 3 so I think C, D & E are all positively charged now and all the negative charged has transferred to the right corner of sphere 3. since sphere 1 is net positive I feel A and B are also positively charged

What were the initial positions of the spheres?

 

[isukatphysics69]

What were the initial positions of the spheres?

initially 2 was in the middle, 1 was far left 3 was far right,
then
2 was touching 1 and was moved away towards 3

 

[isukatphysics69]

Need halp

 

[SammyS]

initially 2 was in the middle, 1 was far left 3 was far right,
then
2 was touching 1 and was moved away towards 3

Seems like this is the tail end of a post which has been either removed from view or deleted.

If that's so, can you at least summarize the results of those parts?

 

[isukatphysics69]

Seems like this is the tail end of a post which has been either removed from view or deleted.

If that's so, can you at least summarize the results of those parts?

Yes, I will be back momentarily with the results

 

[isukatphysics69]

Seems like this is the tail end of a post which has been either removed from view or deleted.

If that's so, can you at least summarize the results of those parts?

Three conducting spheres -- 1, 2, and 3 -- are shown below. Spheres 1 and 2 are initially neutral and Sphere 3 initially has a net positive charge. Spheres 2 and 3 are the same size, but Sphere 1 is larger, as indicated in the diagram. Note also that the center of Sphere 1 is about 10 times farther from the center of Sphere 3 as the radius of Sphere 3.

Rank the charge density at each labeled point A -- E, greatest first. Input your answer in the format A>B=0>C>D=E.

Rank positive charge greater than negative charge. Include zero in your ranking.

CORRECT ANSWER : E>C>A>0>B>DSphere 2 is moved toward Sphere 1 so that they touch.

Rank the magnitude of the net charge on each of the three spheres 1 -- 3 in the previous image, greatest first. Here, magnitude means absolute value, so ignore the sign of the charge.

CORRECT ANSWER: 3>2=1

Rank the charge density at each labeled point A -- E, greatest first. Input your answer in the format A>B=0>C>D=E.

Rank positive charge greater than negative charge. Include zero in your ranking.

CORRECT ANSWER: E>A>B=C=0>DSphere 2 is moved away from Sphere 1 and toward Sphere 3 so that 2 and 3 touch.

Rank the magnitude of the net charge on each of the three spheres 1 -- 3, greatest first. Here, magnitude means absolute value, so ignore the sign of the charge.

CORRECT ANSWER: 3>2>1Rank the charge density at each labeled point A -- E, greatest first. (Note that point E indicates the left side of Sphere 3; there is no labeled point on the right side of Sphere 3.)

Rank positive charge greater than negative charge. Include zero in your ranking.
HINT: Image what would happen is Sphere 1 were removed; then, consider what effect Sphere 1 has on Spheres 2 and 3 when it is present.

CORRECT ANSWER: THIS IS WHERE I AM COMPLETELY STUCK

 

[SammyS]

Three conducting spheres -- 1, 2, and 3 -- are shown below. Spheres 1 and 2 are initially neutral and Sphere 3 initially has a net positive charge. Spheres 2 and 3 are the same size, but Sphere 1 is larger, as indicated in the diagram. Note also that the center of Sphere 1 is about 10 times farther from the center of Sphere 3 as the radius of Sphere 3.
...

Sphere 2 is moved away from Sphere 1 and toward Sphere 3 so that 2 and 3 touch.

Rank the magnitude of the net charge on each of the three spheres 1 -- 3, greatest first. Here, magnitude means absolute value, so ignore the sign of the charge.

CORRECT ANSWER: 3>2>1Rank the charge density at each labeled point A -- E, greatest first. (Note that point E indicates the left side of Sphere 3; there is no labeled point on the right side of Sphere 3.)

Rank positive charge greater than negative charge. Include zero in your ranking.
HINT: Image what would happen is Sphere 1 were removed; then, consider what effect Sphere 1 has on Spheres 2 and 3 when it is present.

CORRECT ANSWER: THIS IS WHERE I AM COMPLETELY STUCK

I'm surprised that the answer given for magnitude in this case is correct. I would have Sphere2 > Sphere3 > Sphere1

Use the hint(s). The first part seems straight forward.

It seems clear to me which point has the greatest (positive) charge density What do you think it may be?

 

[isukatphysics69]

I'm surprised that the answer given for magnitude in this case is correct. I would have Sphere2 > Sphere3 > Sphere1

Use the hint(s). The first part seems straight forward.

It seems clear to me which point has the greatest (positive) charge density What do you think it may be?

I think E has the greatest charge density

 

[SammyS]

I think E has the greatest charge density

Why is that?

Notice the answers for Spheres 1 and 2 touching?

 

[isukatphysics69]

Why is that?

Notice the answers for Spheres 1 and 2 touching?

I was thinking that E is the greatest because 3 has the greatest net charge and it is a positively charged sphere

 

[isukatphysics69]

My thinking was E>C>B>0>A>D

Sphere 3 has greatest net charge and positive, so it is E with the greatest, then that positive charge is pushing the positives in sphere 2 to the left so C is also positive but now as I am typing this I think B is before C

 

[SammyS]

I was thinking that E is the greatest because 3 has the greatest net charge and it is a positively charged sphere

Yes, but 2 and 5 are touhing and they're conductors. What effect does 1 have on them?

 

[isukatphysics69]

Yes, but 2 and 5 are touhing and they're conductors. What effect does 1 have on them?

1 is polorizing them pushing the positives to the right

 

[isukatphysics69]

So where do the negatives in the net negative sphere 2 go? its so confusing because you have 1 polorizing from the left and 3 polorizing on the right but 3 is more powerful so it should be pushing the positives to C but I don't know what happens to the negatives from 2, do they just go to the right corner of 3?

 

[SammyS]

1 is polarizing them pushing the positives to the right

Oh ! I mis-read the answer to the case of 1 and 2 touching.

 

[SammyS]

My thinking was E>C>B>0>A>D

Sphere 3 has greatest net charge and positive, so it is E with the greatest, then that positive charge is pushing the positives in sphere 2 to the left so C is also positive but now as I am typing this I think B is before C

I doubt that A is negative, likewise doubt that B is positive. The side of Sphere 1 closest to the Spheres 2&3 should have positive (like) charge driven to the far side and negative (unlike) charge attracted.

 

[isukatphysics69]

I doubt that A is negative, likewise doubt that B is positive. The side of Sphere 1 closest to the Spheres 2&3 should have positive (like) charge driven to the far side and negative (unlike) charge attracted.

Im wondering what happens to the negatives from the net negatively charged sphere 2?

 

[isukatphysics69]

Im getting really pissed off at physics right now

 

[SammyS]

Im wondering what happens to the negatives from the net negatively charged sphere 2?

They are neutralized by some of the positive charges which make up the net positive charge of Sphere 3. After all, they're conductor making contact..

 

[Delta2]

Since 2 and 3 touch and have exact same geometry, I expect 2 and 3 to have exact same charges (both positive if understood correctly the previous processes that lead to this setup). But after we examine the effect of sphere 1, 2 will have abit less positive charge and 3 abit more positive charge since the net electric field inside 2 and 3 must cancel the electric field from sphere 1. So indeed it will be 3>2>1 for the charge.

And for the charge densities, it will be C>A>D=E=0>B

 

[isukatphysics69]

They are neutralized by some of the positive charges which make up the net positive charge of Sphere 3. After all, they're conductor making contact..

So my understanding at this time is all of points are positive. My professor told me earlier that the combination of spheres 2 and 3 are not polorizing sphere 1 enough to make point B negative, I was just confused about the contact between them because I don't know how much more sphere 3 is positive than sphere 2 is negative and I didn't know if it was only slightly more it would be able to neutralize

 

[isukatphysics69]

Since 2 and 3 touch and have exact same geometry, I expect 2 and 3 to have exact same charges (both positive if understood correctly the previous processes that lead to this setup). But after we examine the effect of sphere 1, 2 will have abit less positive charge and 3 abit more positive charge since the net electric field inside 2 and 3 must cancel the electric field from sphere 1. So indeed it will be 3>2>1 for the charge.

And for the charge densities, it will be C>A>D=E=0>B

Hey man thank you for your time but please do not tell the answers, that is incorrect but in the future please do not just tell the answer thank you

 

[Delta2]

Ok I am sorry, can you tell me the web page to check myself, I did the mistake of taking B as negative but now I realized this is not the case. (and also D=E=0 doesn't look quite correct ).

 

[isukatphysics69]

Ok I am sorry, can you tell me the web page to check myself, I did the mistake of taking B as negative but now I realized this is not the case. (and also D=E=0 doesn't look quite correct ).

I am logged into my personal moodle account so I cannot share the web page unfortunately

 

[isukatphysics69]

right now I was thinking E>D>C>A>B>0 but that was also incorrect

 

[Delta2]

I was thinking C>A>B>E=D=0 but hard to explain my reasoning.

I ask for this : What is the net charge of sphere 2 on her way to touch the sphere 3 and before the touch. If I understood correctly sphere 2 has negative charge and in absolute value smaller than the positive charge of sphere 3. Is that correct?

 

[SammyS]

Look at part 1 of the hint again.

 

[isukatphysics69]

I was thinking C>A>B>E=D=0 but hard to explain my reasoning.

I ask for this : What is the net charge of sphere 2 on her way to touch the sphere 3 and before the touch. If I understood correctly sphere 2 has negative charge and in absolute value smaller than the positive charge of sphere 3. Is that correct?

Incorrect@SammyS I think I know what you are saying, so I am only looking at half of the charge in sphere 3 so E = C = D?

Nvm that is wrong toohow does C > D = E sound

 

[isukatphysics69]

I was thinking C>A>B>E=D=0 but hard to explain my reasoning.

I ask for this : What is the net charge of sphere 2 on her way to touch the sphere 3 and before the touch. If I understood correctly sphere 2 has negative charge and in absolute value smaller than the positive charge of sphere 3. Is that correct?

Also yes you are correct with reasoning but not answer