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Miraj Kayastha
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is electric field strength always equal to negative potential gradient or can it be equal to positive potential gradient sometimes?
DaleSpam said:For completeness ##\mathbf{E}=-\nabla V - \partial \mathbf{A}/\partial t##
So the sign of ##\nabla V## is always negative, never positive, but there is an additional term besides just the negative gradient of the potential. This is what cabraham is talking about.
Miraj Kayastha said:is electric field strength always equal to negative potential gradient or can it be equal to positive potential gradient sometimes?
Electric potential is a measure of the amount of work needed to move a unit charge from one point to another in an electric field. It is measured in volts (V) and is a scalar quantity.
The electric potential at a point is directly proportional to the electric field at that point. This means that if the electric field is stronger, the electric potential will be higher, and vice versa. The relationship is given by the equation: V = Ed, where V is the electric potential, E is the electric field, and d is the distance between the two points.
Negative electric potential gradient is a measure of the decrease in electric potential per unit distance. It indicates that the electric potential is decreasing in the direction of the electric field. In other words, the electric field is doing work on the charge and decreasing its potential energy.
Negative electric potential gradient is represented by a downward sloping line on a graph of electric potential versus distance. This indicates that as the distance increases, the electric potential decreases.
The negative electric potential gradient is important because it helps us understand the behavior of electric fields. It shows us that electric fields have a direction and can do work on charges, leading to changes in their potential energy. It also allows us to calculate the electric field strength at a given point using the equation E = -dV/dx, where E is the electric field, V is the electric potential, and x is the distance along the field direction.