Please explain equipotential surfaces/ contour maps

In summary, a contour map for equipotential surfaces is a visual representation of how potential (voltage) changes over distance. The closer spaced lines on the map indicate a more rapid change in potential. The term "equipotential" refers to the fact that all points on a given line have equal potential, similar to how all points on a line of an elevation map have equal altitude.
  • #1
mujadeo
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Homework Statement


Can someone please define contour map for equipotential surfaces in really simple terms.
I understand that the potential diff is from the neg side
I don't understand what it means when the lines are closer together?
I thought the lines are just divisions of the voltage, and an equipotential surface means that the potential anywhere along each individual line is uniform, but it is different from line to line (cuz your moving further or closer to the negative)

Please help!

Homework Equations




an example:

// / / / / / / /

if this is contour map, what do the close-together lines mean??



The Attempt at a Solution

 
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  • #2
An analogy is a contour map for elevation (topographical). The closer spaced lines indicate the elevation changing more rapidly (example: hill or ravine). With equipotential surfaces, closer spaced lines indicate that potential (voltage), is changing more rapidly over distance. Here is an http://www.britannica.com/eb/art-1327/Equipotential-surfaces [Broken]
 
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  • #3
Ok thanks, that helps, but now i guess I am having prob with the actual word.
"EQUI" ... --what exactlly is equal in the contour map? i am assuming equi word root means "equal"
 
  • #4
All points along any given line have equal potential.

Just like on a map, all points on any line have equal altitude.
 

1. What are equipotential surfaces?

Equipotential surfaces are imaginary surfaces in space that connect points with the same potential or voltage. They are perpendicular to electric field lines and are used to visualize the distribution of electric potential in a given space.

2. How are equipotential surfaces related to contour maps?

Equipotential surfaces and contour maps are both used to represent the distribution of a physical quantity, such as electric potential or elevation, in a two-dimensional space. Contour maps use lines to connect points with the same value, while equipotential surfaces use surfaces to connect points with the same value.

3. How are equipotential surfaces calculated?

Equipotential surfaces are calculated using the equation V = kQ/r, where V is the electric potential, k is a constant, Q is the charge, and r is the distance from the point of reference. This equation is derived from Coulomb's Law and helps determine the potential at any point in space.

4. Why are equipotential surfaces important in scientific research?

Equipotential surfaces are important in scientific research because they help us understand and visualize the distribution of a physical quantity in a given space. They are particularly useful in studying electric fields and can aid in the design of electrical systems and devices.

5. How can contour maps and equipotential surfaces be used in everyday life?

Contour maps and equipotential surfaces are used in everyday life in a variety of ways. For example, contour maps are used in weather forecasting to show areas of equal temperature, pressure, or precipitation. Equipotential surfaces are also used in the design of electrical systems and devices, such as circuit boards and power grids.

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