## How do we determine the electric field of a spherical charge distribution?

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 electric potential due to a point charge?

Electric potential of a point charge is V=kQ/r V = k Q / r . Electric potential is a scalar, and electric field is a vector. Addition of voltages as numbers gives the voltage due to a combination of point charges, whereas addition of individual fields as vectors gives the total electric field.

### What is electric field in charge distribution?

If a charge distribution is continuous rather than discrete, we can generalize the definition of the electric field. We simply divide the charge into infinitesimal pieces and treat each piece as a point charge.

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

The relation between electric field , E and potential, V at a point is E=−drdV.

## What is the electric field inside a charged sphere?

If we assume any hypothetical sphere inside the charged sphere, there will be no net charge inside the Gaussian surface . So, Σq = 0 . So, the net flux φ = 0. So, the electric field inside a hollow sphere is zero.

Which law is used to calculate the electric field at a point P situated distance from the R?

Use Gauss’s law to calculate the electric field at distance r from an infinitely long line of charge with a uniform positive linear charge density λ .

### How does electric field due to point charge and a line charge vary with distance?

Solution : The electric field varies inversely as the square of the distance from the point charge.

How does electric potential due to a point charge vary with distance from it?

Electric potential is inversely proportional to the square of the distance from the centre of the dipole (i.e. V ∝ 1 r 2 ). Where as the potential due to point charge is inversely proportional with the distance from the charge (i.e. V ∝ 1 r ).

## What is formula for electric field?

E = F q test = k | Q | r 2 . This equation gives the magnitude of the electric field created by a point charge Q. The distance r in the denominator is the distance from the point charge, Q, or from the center of a spherical charge, to the point of interest.

What is the relationship between the electric field and electric potential V between the plates of the capacitor?

The electric field strength in a capacitor is directly proportional to the voltage applied and inversely proportional to the distance between the plates.

### Which is the suitable relation between electric field and potential?

The relation between Electric field and Potential is generally given by -the electric field is the negative gradient of the electric potential.

Can a spherical charge distribution create an electric field?

Furthermore, spherical charge distributions (like on a metal sphere) create external electric fields exactly like a point charge. The electric potential due to a point charge is, thus, a case we need to consider. Using calculus to find the work needed to move a test charge

## What is the electric potential due to a point charge?

The electric potential due to a point charge is, thus, a case we need to consider. Using calculus to find the work needed to move a test charge . V = kQ r ( Point Charge).

What is the electric field for a line charge?

Solution The electric field for a line charge is given by the general expression A general element of the arc between and is of length and therefore contains a charge equal to The element is at a distance of from P, the angle is , and therefore the electric field is

### What happens when an electric field is present at a point?

The charge placed at that point will exert a force due to the presence of an electric field. The electric potential at any point at a distance r from the positive charge +q + q is shown as: