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In a given region of space, the scalar potential is related to the electric field by the gradient of the scalar potential. The electric field is the negative gradient of the scalar potential. This means that the electric field points in the direction of the steepest decrease in the scalar potential.

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What is the relationship between the electric field and electric potential in a given region of space?

The electric field and electric potential in a given region of space are related by the equation E -V, where E is the electric field, V is the electric potential, and is the gradient operator. This means that the electric field is the negative gradient of the electric potential. In simpler terms, the electric field points in the direction of the steepest decrease in electric potential.


What is the electric potential in a region of uniform electric field?

In a region of uniform electric field, the electric potential is constant.


What is the direction of the electric field in a region where the potential decreases from high to low?

In a region where the potential decreases from high to low, the direction of the electric field is from high potential to low potential.


If potential is constant throughout a given region of space can you say that electric field is zero in that region?

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.


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.

Related Questions

What is the relationship between the electric field and electric potential in a given region of space?

The electric field and electric potential in a given region of space are related by the equation E -V, where E is the electric field, V is the electric potential, and is the gradient operator. This means that the electric field is the negative gradient of the electric potential. In simpler terms, the electric field points in the direction of the steepest decrease in electric potential.


What is the electric potential in a region of uniform electric field?

In a region of uniform electric field, the electric potential is constant.


What is the direction of the electric field in a region where the potential decreases from high to low?

In a region where the potential decreases from high to low, the direction of the electric field is from high potential to low potential.


If potential is constant throughout a given region of space can you say that electric field is zero in that region?

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.


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.


What is the relationship between the density of the equipotential lines and the strength of the electric field in a given region?

The density of equipotential lines is inversely proportional to the strength of the electric field in a given region. This means that where the equipotential lines are closer together, the electric field is stronger, and where they are farther apart, the electric field is weaker.


What is the relationship between the patellar and femoral region?

The patellar region is DISTAL to the femoral region.


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

the electrons flow from the region of low potential to region of high potential. the electric current also flow in this direction but for convention we took it as the flow of positive charge from region of low to high region potential.


Why is electric potential mid-way between two opposite charges is zero?

acting oppisite forces make it so they cancel midway The repulsion of the like charges creates a space (Gap X) between their electric fields. At this region there would be no force felt as both charges have the same electric force magnitude; they push each other away equally, thereby making a "neutral" zone. Since there is no force the electric field would be zero.


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.