Related to your specific question, if the electric field is constant, then the slope of the potential is a constant which means that the potential is changing linearly. If the potential is constant, then the slope of the potential is zero, which means the electric field is zero.
Why electric field is zero when potential is constant?
According to the relation, the electric field is the negative gradient of electric potential. If the electric potential is constant throughout the given region of space, then change in electric potential , hence E= 0. So the answer is E will be zero in this case.
What is the electric intensity in region where the electric potential is constant?
If the electric potential is constant, say 1 V, then there is no direction of greatest increase. Hence the gradient of the electric potential is zero, and the electric field is zero everywhere inside the region of constant electric potential.
What happens in a region of constant potential?
In a region of constant potential (V = constant) , E=-dVdr=0, i.e., electric field is zero. As E=0, there can be no charge inside the region.
What can you say about the electric field in a region of space that has the same potential throughout?
What can you say about the electric field in a region of space that has the same potential throughout? The electric field would be zero in a region of space that has the same potential throughout. The electric field is related to the change in potential as you move from place to place.
Is electric potential constant?
The electric field is not continuous across an idealized surface charge, but it is not infinite at any point. Therefore, the electric potential is continuous across an idealized surface charge. An idealized linear charge has ln(r) potential, which is continuous everywhere except on the linear charge.
Can electric potential zero?
Yes, electric potential can be zero at a point even when the electric field is not zero at that point. … At the midpoint of the charges of the electric dipole, the electric field due to the charges is non zero, but the electric potential is zero.
What is special about the direction of the electric field compared to the electric 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.
How can electric potential be high when electric potential energy is low?
A negative charge, if free to move in an electric field, will move from a low potential point to a high potential point.
What is relationship between potential difference and electric potential energy?
In summary, the relationship between potential difference (or voltage) and electrical potential energy is given by ΔV=ΔPEq Δ V = Δ PE q and ΔPE = qΔV.
What is the reason of constant potential?
A constant-potential (CP) charging source implies that the charger maintains a constant voltage independent of the charge current load.
What does potential constant mean?
Potential, Constant. Unchanging potential or potential difference. The ordinary system of incandescent lighting is a constant potential system, an unvarying potential difference being maintained between the two leads, and the current varying according to requirements.
Which of following option is correct in a region of constant potential?
Therefore, the electric field in this region is zero. We know that charge produces electric fields. Since there is no electric field in the given region, we can say there are no any charges in the region. So, the correct answer is option (B) and (C).