How do you calculate Equipotentials?
Equipotential lines are perpendicular to electric field lines in every case. W = −ΔPE = −qΔV = 0. W = Fd cos θ = qEd cos θ = 0. Note that in the above equation, E and F symbolize the magnitudes of the electric field strength and force, respectively.
Why are equipotential lines evenly spaced?
If the electric field strength is constant (uniform) then the equipotential lines/surfaces will be equally spaced. With this simulation you can add more positive and negative charges to investigate complex field and equipotential patterns.
How do you calculate the direction of groundwater flow?
Groundwater flow direction is reported as degrees clockwise from the positive y-axis defined by your x,y locations. For an unconfined aquifer, the calculation squares the input heads, then fits a plane through these squared heads.
What is equipotential line in hydrogeology?
An equipotential line, a line of constant head, may be used to form a constant head hydraulic boundary (Fig. 4.12), or specified flow rates may be calculated across the equipotential line and used to specify boundary flows.
How do electric field lines rank?
Several locations are labeled on the diagram. Rank these locations in order of the electric field strength – from smallest to largest. Electric field strength is greatest where the lines are closest together and weakest where lines are furthest apart.
How do you plot an equipotential line?
The equipotential lines can be drawn by making them perpendicular to the electric field lines, if those are known. Note that the potential is greatest (most positive) near the positive charge and least (most negative) near the negative charge.
What does it mean when equipotential lines are closer together?
When lines are close together, the slope is steep, e.g. a cliff, just as close equipotential lines indicate a strong electric field. Lakes are at the same elevation, in the same way conductors are at the same potential.
How do you calculate groundwater flow gradient?
The hydraulic gradient is the change in total head divided the distance over which the change occurs. average pore water velocity v = -K/n(∆h/∆L) The average velocity of the water is the Darcy equation divided by the porosity of the sediment.
How do you infer groundwater flow?
To first approximation, groundwater flows down-gradient (from high to low hydraulic head). As is the case with surface water, or a ball rolling down a hill, the water flows in the direction of the steepest gradient, meaning that it flows perpendicular to equipotentials.
What is equipotential drop?
The space between two adjacent equipotential lines represents a drop in head. The space between two adjacent equipotential lines is called an equipotential space.
What are equipotential and flow lines?
Equipotential and flow lines (streamlines) form a flow net, where the flow lines are imaginary impervious barriers because there is no cross-flow through them. Such nets are the basis of groundwater equipotential (piezometric) or water table contour maps ( Figure 2.6 ).
What is an equipotential sphere?
An equipotential sphere is a circle in the two-dimensional view of Figure 1. Since the electric field lines point radially away from the charge, they are perpendicular to the equipotential lines.
What are the equipotentials of a line charge?
For a line charge the equipotentials are cylinders, since a cylinder is traced out by moving in the two directions perpendicular to the radius vector. See Figure 5.9 (b).
Why are electric field lines perpendicular to the equipotential sphere?
This is true because the potential for a point charge is given by and thus has the same value at any point that is a given distance r from the charge. An equipotential sphere is a circle in the two-dimensional view of (Figure). Because the electric field lines point radially away from the charge, they are perpendicular to the equipotential lines.