Table of Contents
- 1 Can you treat a charged sphere as a point charge?
- 2 What is the electric field outside a charged sphere?
- 3 What charge does a sphere carry?
- 4 How do you find the charge of a sphere?
- 5 Can a charged sphere be treated as a point charge?
- 6 What happens when the charge distribution is spherically symmetric?
Can you treat a charged sphere as a point charge?
(Where the charge of the point charge equals the total charge of the sphere.) So in cases when the charge is uniformly distributed over its volume or its surface, the sphere can be treated as a point charge? yep.
What is the electric field outside a charged sphere?
The electric field outside the sphere is given by: E = kQ/r2, just like a point charge. The excess charge is located on the outside of the sphere.
Is sphere a point charge?
Strategy. As we have discussed in Electric Charge and Electric Field, charge on a metal sphere spreads out uniformly and produces a field like that of a point charge located at its center. Thus we can find the voltage using the equation V=kQr V = k Q r .
How we explain electric field of charge in hollow sphere and solid sphere?
Electric Field Of Charged Hollow Sphere The conducting hollow sphere is positively charged with +q coulomb charges. If the sphere has equal density all over its surface , then +q charge will be equally distributed all over the surface. So, the entire system is a symmetric system. E is constant through the surface .
What charge does a sphere carry?
Each sphere will have half of the total charge: Q=Q1+Q22x=9,6×10−18+(−9,6×10−18)2x=0C. So each sphere is now neutral. No net charge means that there is no excess of electrons or protons.
How do you find the charge of a sphere?
The uniform charge per unit volume ρ in the insulating sphere is its total charge (Q) divided by its total volume.
How do you charge a conducting sphere?
The electric field of a conducting sphere with charge Q can be obtained by a straightforward application of Gauss’ law. Considering a Gaussian surface in the form of a sphere at radius r > R , the electric field has the same magnitude at every point of the surface and is directed outward.
What is the potential of a charged sphere?
A spherical sphere of charge creates an external field just like a point charge, for example. The equation for the electric potential due to a point charge is V=kQr V = kQ r , where k is a constant equal to 9.0×109 N⋅m2/C2.
3 Not much more to add to the title. The electric field outside a (uniformly) charged sphere is equal to the electric field that would have been created by a point charge with the same total charge. When the charge distribution is spherically symmetric, the field outside the sphere is exactly that of a point charge at the center of the sphere.
Can a charged sphere be treated as a point charge?
But if the radius of the sphere is very small compared to characteristic lengths of the system, then you can treat it as a point charge even if it is not isolated because the induced charges will be spherically symmetric as an approximation if the sphere is very small. “When can a charged sphere be treated as a point charge? ”
What happens when the charge distribution is spherically symmetric?
When the charge distribution is spherically symmetric, the field outside the sphere is exactly that of a point charge at the center of the sphere. (Where the charge of the point charge equals the total charge of the sphere.)
How can a Gaussian field be viewed as a point charge?
But it can still be viewed as an point charge by taking a new gaussian surface where the centre shifts to the new equivalent point charge and take a larger sphere. Everywhere outside the surface the model is still valid. But when there is an external charge the field is again distorted.