What is the value of electric field and electric potential inside a charged spherical shell?

Inside the sphere, the field is zero, therefore, no work needs to be done to move the charge inside the sphere and, therefore, the potential there does not change.

What is the value of electric field at any point inside a charged spherical shell?

Now, the gaussian surface encloses no charge, since all of the charge lies on the shell, so it follows from Gauss’ law, and symmetry, that the electric field inside the shell is zero.

What is the electric potential inside a charged sphere?

The electrostatic potential inside a charged spherical ball is given by potential inside a charged spherical ball is given by [phi =a{{r}^{2}}+b]where r is the distance from the centre and a b are constants.

What is the electric potential inside the shell?

If you’re talking about a uniform shell of charge (with no other charge inside), the electric field inside will be zero: this follows from Gauss’s Law. However the potential inside need not be zero: it will be a constant.

What is the electric potential and electric field inside a charged hollow spherical conductor?

As we know that the electric field intensity inside the hollow spherical charged conductor is zero. Hence, the work done in moving a point charge inside the hollow spherical conductor is also zero. This implies that the potential difference between any two points inside or on the surface of the conductor is zero.

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Is the electric potential inside a conductor zero?

Since an electric field requires the presence of a charge, the electric field inside the conductor will be zero i.e., E=0 . Now the electrostatic field can be expressed as E=−dVdr . Thus the electric potential will be constant inside the conductor.

Why potential inside a conductor is constant?

As inside the conductor the electric field is zero, so no work is done against the electric field to bring a charge particle from one point to another. … Since E=0, therefore the potential V inside the surface is constant.

How do you find electric field potential?

a process we call calculating the gradient of the potential. Calculate the electric field of a point charge from the potential. The potential is known to be V=kqr, which has a spherical symmetry. Therefore, we use the spherical del operator (Equation 7.5.

What is the general relation between electric field and potential?

The relationship between potential and field (E) is a differential: electric field is the gradient of potential (V) in the x direction. This can be represented as: Ex=−dVdx E x = − dV dx . Thus, as the test charge is moved in the x direction, the rate of the its change in potential is the value of the electric field.

What is electric potential due to a point charge?

Electric potential of a point charge is V=kQr 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.

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What is electric field formula?

Electric field can be considered as an electric property associated with each point in the space where a charge is present in any form. An electric field is also described as the electric force per unit charge. The formula of electric field is given as; E = F /Q.