What is Conducting spheres: Definition and 46 Discussions
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First assuming only one sphere at a potential of 1500 V, the charge would be q = 4πεrV = 4π(8.85×10
−12C2/N · m)(0.150 m)(1500 V) = 2.50×10−8C.
The potential from the sphere at a distance of 10.0 m would be V =(1500V)(0.150m)/(10.0m) =22.5V.
I don't understand the reasoning of the...
For this part (b) of this problem,
The solution is,
However, would a better explanation be:
As the spheres are conductors, there will be free electrons within and on the surface of the conductors that will be polarized by the external electric field between the conductor. This will decrease...
you can treat the center of two conducting sphere's like two point charges. Therefore it should be equal to ##k_e q^2/d^2##, but the answer is greater than ##k_e q^2/d^2##. Can someone explain how? Thank you
Here are the answer choices:
a) F1 = 2F2
b) F1 = 8F2
c) 2F1 = F2
d) F1 = 4F2
e) F1 = F2
I figured that Coulomb's law would tell us the magnitude of the forces are identical, so I answered E, but that was incorrect.
(Screenshot of question attached)
Hi,
I think this problem is solved in exactly as a similar problem where the two spheres are very far apart and connected by a very long thin conducting wire. I'm trying to explain this in words, since LaTeX does not seem to work any more (for some reason LaTeX syntax is not replaced by maths in...
1. Homework Statement
Hi everyone. I am having trouble figuring out how to solve this problem. The right answer is E
Homework Equations
Well, we do have the law of conservation of charge.
I also know that Work by a conservative force = - change in potential energy
The Attempt at a Solution...
Homework Statement
Two charged metallic spheres of same size repel each other by a force F. They are now touched with each other and are then separated to same initial distance. Now the force of repulsion is F'.Homework Equations
On touching the spheres will reduce their charges... So the new...
Hi, I need some help with this homework from my Electromagnetism course. I hope this is the correct place to post this. (Please excuse any potential english mistake I made trying to translate this).
Problem 1:
Copper (conductor) sphere of radious R with an spheric bubble inside placed at...
A point charge outside a hollow conducting sphere will produce no field in the hollow interior: the metal shields the interior. But a point charge inside the hollow interior will produce a field outside: the same metal ceases to act as a shield. Why is this?
(In particular, aren’t “inside” and...
Here is the question that we have been debating for the past day or so:
Take a conducting cubic box and center a conducting sphere with charge +q inside of it. Will the induced charge density on the sphere be uniform or not?My gut instinct is no. The cube and sphere have different symmetries...
Homework Statement
In the figure, two conducting balls of identical mass m = 20 g and identical charge q hang from nonconducting threads of length L = 100 cm. If x = 5.9 cm, what is q? Since x is much smaller than L approximate sin(θ) by θ.
Homework Equations
Tcos theta = mg
Tsin theta =...
Homework Statement
One of two nonconducting spherical shells of radius a carries a charge Q uniformly distributed over its surface, the other a charge -Q, also uniformly distributed. The spheres are brought together until they touch. What does the electric field look like, both outside and...
Homework Statement
Q1. A non-uniform electric field is given by the expression E=3yi+2zj-k.
Determine the electric field flux through a rectangle in the xy plane, extending from x=0 to x=20 cm and y=0 to y=15cm
Q2. A point charge q1 = +5nc is placed at the center of a non-conducting sphere...
Homework Statement
Two conducting spheres of radii rA and rB are connected by a very long conductive wire. The charge on sphere A is Qa and rA < rB.
What is the charge on sphere B?
Which sphere has the greater electric field strength immediately above its surface.
Homework Equations...
Homework Statement
We are given two concentric conducting shells centered around a common origin. Within the inner shell there is a positive point charge q and somewhere outside the two shells is another positive point charge q. The question wants the field lines for this system and then again...
The electric potential immediately outside a charged conducting sphere is 200 V, and 10.0 cm farther from the center of the sphere the potential is 150 V. Determine (a) the radius of the sphere and (b) the charge on it. The electric potential immediately outside another charged conducting sphere...
Homework Statement
Two tiny conducting spheres are identical and carry charges of -19.4 μC and +49.3 μC. They are separated by a distance of 2.55 cm. What is the magnitude of the force that each sphere experiences?
Homework Equations
Coulombs Law: F=kelq1q2l/r2
Ke = 8.99E9
The Attempt...
Hi physicists here. :)
I've just joined the forums and here's my very first question :P :
Aakash PHYSICS JEE (Main & Advanced) Study Package - 5 & 6 (Class XII)
Chapter - Electric Charges and Field
Assignment (page 12)
SECTION - A; Q.no - 1
What I expected the answer to be was...
Homework Statement
Two conduction spheres with radius R1 og R2 are connected with a conducting wire. The length difference between the spheres is large enough to neglect any effect their respective electric fields have on each other. The total charge of the system is Q.
Find the charges...
Homework Statement
Suppose we have three identical conducting spheres and one of them carries a charge of Q. if they are lined up in a row and then separated one at a time without grounding them...
a. only one will be charged with Q
b. they will all be discharged
c. one of them will have a...
Homework Statement
You have two identical tiny conducting spheres: sphere A carries positive charge qA, and sphere B carries negative charge qB. First the spheres are placed distance d = 0.404 m apart, and they attract each other with a force F1 = 0.748 N. Then the spheres are brought...
Homework Statement
A conducting sphere of radius R2 has a central cavity of radius R1 that holds a charge q in its centre. Determine the electrical field for r > R2, r < R1 and R1 < r < R2 and determine the charge density induced by q.
I'm not allowed to include a link to my figure, but I'm...
Hi,
I tried to make some simulations of two conducting spheres in a constant electric field. The simulations seem to indicate that the electric field in the gap increases with increasing diameter of the spheres at a constant gap distance. Does this make sense? I expected just the reverse. What...
Homework Statement
Two spherical conductors of radii r1 and r2 are separated by a distance much greater than the radius of either sphere. The spheres are connected by a conducting wire. The charges on the sphere are in equilibrium are q1 and q2 respectively, they are uniformly charged. Find...
Why is the Qenclosed zero if there's a charge inside the shell?
Homework Statement
A solid conducting sphere of radius a is placed inside a conducting shell which has an inner radius b and an outer radius c. There is a charge q1 on the sphere and a charge q2 on the shell.
Find the...
Hi. I have this problem, which I must solve. It says: two concentric conducting spherical shells, of radius a and b (a<b), are charged at Q and -Q respectively. The space between the spheres is filled at its half by an hemisphere of dielectric with dielectric constante ε.
a)Find the field for...
Homework Statement
Two uncharged conductors A and B are of different sizes. They are charged as follows:
1. A is charged via an electrostatic generator to charge q
2. A is briefly touched to B.
3. Steps 1 and 2 are repeated until the charge on B reaches a maximum value.
If the...
Question:
Two identical conducting spheres, fixed in place, attract each other with an electrostatic force of 0.141 N when their center-to-center separation is 67.0 cm. The spheres are then connected by a thin conducting wire. When the wire is removed, the spheres repel each other with an...
Homework Statement
There are two conducting spheres, one hollow outer sphere which originally had +60nC of charge on it, and a smaller inner sphere enclosed by the hollow outer sphere which contains +20nC of charge.
Homework Equations
INT(E.DA) = Qenclosed/epsilon0
The Attempt at a...
Homework Statement
Two concentric conducting spheres of radii a and b (a < b) are separated into four hemispheres by a nonconducting sheet. The upper ( 0 < θ < π / 2 ) outer (radius b) and lower ( π / 2 < θ < π ) inner (radius a) hemispheres are kept at potential +V. The upper inner and lower...
X and Y are two identical conducting spheres separated by a distance d. X has a charge of +6µC and Y has a charge of -2µC. The electric force between them is +F (i.e. attractive). The spheres are touched together and are then returned to their original separation d. What is the new value of the...
Homework Statement
Homework Equations
potential, V = kq/r where k is 1/4 pi epsilon
conservation of charge, sum of q = Q
The Attempt at a Solution
what i did is let q1 + q2 + q3 = 4*10^-4
then let V1 = V2 = V3 and solve for q3
but i end up getting q3 = 0.0002 which is...
Homework Statement
In the figure, r1 = 5 and r2 = 7 cm. Before the conducting spheres are connected by the wire a charge of 5×10-7 C is placed on the smaller sphere while the larger sphere is uncharged. Calculate the charge on the smaller sphere after the wire is connected. Assume that the...
...if the spheres are separated by a large distance - one with charge Q, the other with charge -Q - isn't the force between them just the same as the force between two oppositely charged point charges, since the electric field produced by one of the spheres "looks like" the field of a point...
Homework Statement
We're supposed to find the capacitance of a system of two conducting spheres, one of radius r_1 and charge Q, the other of radius r_2 and charge -Q, separated by a distance L (this is the distance between their centers) that's very large compared to either r_1 or r_2.Homework...
Homework Statement
Figure 21-36 shows four identical conducting spheres that are actually well separated from one another.
Figure 21-36
Sphere W (with an initial charge of zero) is touched to sphere A and then they are separated. Next, sphere W is touched to sphere B (with an initial...
Homework Statement
2 conducting spheres with radii 2 & 3m are connected with a conducting rod of thickness 0.1m & length 0.5m. 500C charge is put on the 2m radius sphere.
Find the amount of charge on each sphere & on the rod.
Homework Equations
The Attempt at a Solution
By...
Homework Statement
two thin conducting spheres, one inside the other. They are both centered about the same point. The outer sphere has a total charge Q and radius R2 and the inner sphere has a total charge -Q and radius R1.
The magnitude of the charges is Q = 500 nC, and the radii are R1 =...
When a charge is applied to a conducting sphere and connected to another conducting sphere by an ideal thin wire (infinite distance apart), the potential at the surface of each sphere is the same.
However, that means (for spheres of different radii) that the charge density on each sphere...
Was curious how some of you guys would solve this problem...
Three conducting spheres of radii a, b and c are connected by negligibly thin conducting wires. Distances between the spheres are much larger than their sizes. The electric field on the surface of a is measured to be E_{a}. What is...
Homework Statement
9. Two identical conducting spheres, fixed in place attract each other with an electrostatic forces of 0.108 N when their center-to-center separation is 50.0 cm. The spheres are then connected by a thin conducting wire. When the wire is removed, the spheres repel each...
Homework Statement
Two hollow concentric conducting spheres hold charges Q[1] and Q[2] as shown in the attachment.
Find the potential of each sphere, and the potential difference.
Homework Equations
Potential difference V = Phi[2] - Phi[1]
The Attempt at a Solution
I'm having...
The question is the following one:
Two isolated conducting spheres of equal radius have charges +Q (#1)and -Q (#2) respectively. If they are separated by a large distance compared to their radius, what is the capacitance of this unusual capacitor?
The first remark :wink: : C= \frac{Q}{V}...
The question i am stuck on and am unable to find anything in my notes about (although i can't find my notes from tuesday however we seem to have covered the topic on friday and maybe just not finished it off in time) is ...
Two isolated spherical conductors one with radius R and one with...