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If the electric field is zero, the electric potential is a constant value, but it does not tell you what that value is. All the electric field tells you is how the electric potential changes within the region you are looking at. If the electric potential at one end of a cylindrical region is 7 V and the electric field is zero within the whole cylinder, then the electric potential is 7 V at the other end, or somewhere in the middle, or on the side, and so forth. An electric field of zero tells you the potential does not change, but doesn't say anything about what it is outside of the region you're looking at.

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11y ago
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2mo ago

No, the electric field does not necessarily have to be zero just because the potential is constant in a given region of space. The electric field is related to the potential by the gradient, so if the potential is constant, the electric field is zero only if the gradient of the potential is zero.

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11y ago

The electric field is zero. In general terms, the electric field is the change in potential over a distance. If the potential does not change, the field is zero

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Q: If potential is constant throughout a given region of space can you say that electric field is zero in that region?
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Is the electric field zero or nonzero in a region of space if the potential is constant throughout this given region?

In a region of space where the potential is constant, the electric field is zero. This is because the electric field is the gradient of the electric potential, so if the potential is not changing, there is no electric field present.


The potential is constant through a given region of space Is the electrical field zero or non zero?

If the potential is constant through a given region of space, the electric field is zero in that region. This is because the electric field is the negative gradient of the electric potential, so if the potential is not changing, the field becomes zero.


What is potential inside the hollow charged sphere?

Inside a hollow charged sphere, the electric potential is constant and zero throughout the interior of the sphere. This is because the electric field due to the charges on the outer surface cancels out within the hollow region, resulting in no work done on a test charge to move it within the hollow sphere.


Is the electric intensity at any two points in a uniform electric field equal?

Yes, in a uniform electric field, the electric intensity is the same at any two points. This is because the electric field strength is constant in magnitude and direction throughout the entire region of the field.


Electric charge is uniformly distributed on the surface of a spherical balloon. Show how electric intensity and electric potential vary (a) on the surface (b) inside and (c) outside?

(a) On the surface of the balloon, the electric intensity is perpendicular to the surface and is constant. The electric potential varies across the surface with the highest value at the region of highest charge density. (b) Inside the balloon, the electric intensity and potential will be zero since the Gaussian surface does not enclose any charge. (c) Outside the balloon, the electric intensity decreases inversely with the square of the distance from the center of the balloon, while the electric potential also decreases with distance, following a similar inverse square law.

Related questions

Is the electric field zero or nonzero in a region of space if the potential is constant throughout this given region?

In a region of space where the potential is constant, the electric field is zero. This is because the electric field is the gradient of the electric potential, so if the potential is not changing, there is no electric field present.


What is the electric potential when the electric field is zero?

When the electric field is zero, the electric potential is constant throughout the region and is independent of position. This means that the electric potential is the same at every point in the region where the electric field is zero.


The potential is constant through a given region of space Is the electrical field zero or non zero?

If the potential is constant through a given region of space, the electric field is zero in that region. This is because the electric field is the negative gradient of the electric potential, so if the potential is not changing, the field becomes zero.


When air pressure is constant throughout a region of the atmosphere the region is in a state is called what?

When air pressure is constant throughout a region of the atmosphere, the region is in a state known as "hydrostatic equilibrium".


What is potential inside the hollow charged sphere?

Inside a hollow charged sphere, the electric potential is constant and zero throughout the interior of the sphere. This is because the electric field due to the charges on the outer surface cancels out within the hollow region, resulting in no work done on a test charge to move it within the hollow sphere.


When air pressure is constant throughout a region of the atmosphere the region is in a state of?

Air Mass or equlibrium


Is the electric intensity at any two points in a uniform electric field equal?

Yes, in a uniform electric field, the electric intensity is the same at any two points. This is because the electric field strength is constant in magnitude and direction throughout the entire region of the field.


Electric charge is uniformly distributed on the surface of a spherical balloon. Show how electric intensity and electric potential vary (a) on the surface (b) inside and (c) outside?

(a) On the surface of the balloon, the electric intensity is perpendicular to the surface and is constant. The electric potential varies across the surface with the highest value at the region of highest charge density. (b) Inside the balloon, the electric intensity and potential will be zero since the Gaussian surface does not enclose any charge. (c) Outside the balloon, the electric intensity decreases inversely with the square of the distance from the center of the balloon, while the electric potential also decreases with distance, following a similar inverse square law.


Mentoin two special properties for uniformly charged spherical shell?

A uniformly charged spherical shell will have a constant electric field inside the shell and zero electric field in the hollow region. Additionally, the electric potential on the surface of the shell is constant and only dependent on the total charge and radius of the shell.


Why it is possible to define an electrostatic potential in a region of space that contains an electrostatic field?

The electrostatic potential is a scalar quantity that represents the potential energy of a unit positive charge at a specific point in the electric field. It is defined as the work done in moving a unit positive charge from infinity to that point. This potential does not depend on the path taken and can be defined at any point in a region of space regardless of the presence of an electric field.


What is the difference between electron flow direction and electric current flow direction?

The direction of electron flow is from negative to positive within a circuit due to the negatively charged electrons moving towards the positively charged terminal. However, conventional electric current flow is considered to be in the opposite direction, from positive to negative, following the historical convention established before the discovery of electrons.


Which one of the following statements best explains why it is possible to define an electrostatic potential in a region of space that contains an electrostatic field?

It is possible to define an electrostatic potential in a region of space with an electrostatic field because the potential is a scalar field that describes the energy per unit charge at a point in space due to the presence of a source charge distribution. This potential provides a convenient way to describe the behavior of the electric field in that region.