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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 relationship between the scalar potential and the electric field in a given region of space?
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.
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 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.
What determines the direction of the electric field in a given region?
The direction of the electric field in a given region is determined by the direction in which a positive test charge would move if placed in that region.
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 relationship between the scalar potential and the electric field in a given region of space?
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.
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 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.
What determines the direction of the electric field in a given region?
The direction of the electric field in a given region is determined by the direction in which a positive test charge would move if placed in that region.
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.
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.
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.
How is the direction of an electric field indicate with electrical fields lines?
The direction of an electric field is indicated by the direction in which the electric field lines point. Electric field lines point away from positive charges and towards negative charges. The closer the field lines are together, the stronger the electric field in that region.
How do their directions compare with the direction of the force that acts on a positive test charge in the same region?
The electric field and force due to it in a region both point in the same direction for a positive test charge. This means that the direction of the force acting on a positive test charge will be the same as the direction of the electric field in that region.
