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: