Potential at a point due to conducting sphere and sheet

In summary, the potential at a point due to a conducting sphere and sheet can be calculated by finding the sum of the potentials due to each object separately. The potential due to a conducting sphere is given by the equation V = kq/r, where k is the Coulomb's constant, q is the charge of the sphere, and r is the distance from the center of the sphere to the point. The potential due to a conducting sheet is given by the equation V = σ/2ε, where σ is the surface charge density and ε is the permittivity of free space. The total potential at a point is the sum of these two values. It is important to note that the potential due to a conducting sheet is constant throughout the
  • #1
olivia rogers
1
0
There's this question, A conducting sphere of radius R and charge Q is placed near a uniformly charged non conducting infinitely large thin plate having surface charge density σ. The potential at point A on sphere due to charge on sphere is? I have uploaded the picture.
Now I know the net field inside a conductor is zero. So the sum of Electric field due to sphere and field due to sheet should be zero. So both are equal in magnitude. So the net potential should be kQ\R + potential due to sheet. How do i calculate potential due to sheet??
 

Attachments

  • 08820808-60e2-4c33-af92-0678bca8ad71.jpg
    08820808-60e2-4c33-af92-0678bca8ad71.jpg
    24.3 KB · Views: 800
Physics news on Phys.org

FAQ: Potential at a point due to conducting sphere and sheet

What is potential at a point due to a conducting sphere?

The potential at a point due to a conducting sphere is the amount of electric potential energy per unit charge at that point. It is influenced by the charge and radius of the sphere, as well as the distance of the point from the center of the sphere.

How is the potential at a point affected by a conducting sheet?

The potential at a point due to a conducting sheet is also influenced by the distance of the point from the sheet, as well as the charge density of the sheet. However, unlike a conducting sphere, the potential at a point due to a conducting sheet is independent of the size of the sheet.

What is the relationship between potential at a point and electric field?

The potential at a point is directly proportional to the electric field at that point. This means that as the potential increases, the electric field also increases. The potential is also dependent on the direction of the electric field, with a positive potential indicating an inward electric field and a negative potential indicating an outward electric field.

How can the potential at a point be calculated for a conducting sphere and sheet?

The potential at a point due to a conducting sphere can be calculated using the equation V = kQ/r, where V is the potential, k is the Coulomb constant, Q is the charge of the sphere, and r is the distance from the center of the sphere. For a conducting sheet, the equation is V = 2kσ, where σ is the charge density of the sheet.

What is the difference between potential at a point and potential difference?

The potential at a point is the potential energy per unit charge at a specific point, while potential difference is the difference in potential between two points. Potential difference is a measure of the change in potential energy as a charge moves from one point to another, while potential at a point is the potential energy at a single point in space.

Similar threads

Electrodynamics: Conducting sphere of radius R cut in half
2
Replies
49
Views
5K
Potential Difference & Force on Electrostatic Sphere
Replies
1
Views
2K
On charge image method over a conducting sphere and its Char
Replies
6
Views
2K
Electrostatic Potential Energy of a Sphere/Shell of Charge
Replies
2
Views
2K
Potential of a non-conducting sphere
Replies
29
Views
3K
[Griffiths ex4.2] Electric field of a uniformly polarized sphere
Replies
4
Views
3K
Electrostatic field of a sphere
Replies
2
Views
1K
Induced charge on a conducting sphere sliced by a plane
Replies
2
Views
619
Potential from point charge at distance ##l## from conducting sphere
Replies
3
Views
1K
Electric field external to Conducting Hollow Sphere with charge inside
Replies
23
Views
2K

Hot Threads

Recent Insights

Back
Top