What Determines the Direction of Potential Gradient?

In summary, the homework statement is attached and the relevant equation is E=-∇V. The attempt at a solution involved considering the direction opposite the electric field and crossing through the most equipotential surfaces, leading to the answer being C. Any confirmation or denial would be appreciated.
  • #1
Yosty22
185
4

Homework Statement



Attached.

Homework Equations



E=-∇V

The Attempt at a Solution



I think that the answer is C because it goes in the direction opposite the electric field and crosses through the most equipotential surfaces. Any confirmation or denial would be great.
Thank you.
 

Attachments

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  • #2
Just in case it is hard to look at, I rotated the attachment to make it easier.
 

Attachments

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  • #3
Yosty22 said:

Homework Statement



Attached.


I think that the answer is C because it goes in the direction opposite the electric field and crosses through the most equipotential surfaces. Any confirmation or denial would be great.
Thank you.

Yes, it is C.


ehild
 

Related to What Determines the Direction of Potential Gradient?

1. What is a potential gradient?

A potential gradient is a measure of the change in potential energy per unit distance in an electric field. It is a vector quantity and is expressed in units of volts per meter.

2. How is potential gradient calculated?

The potential gradient is calculated by taking the change in potential (ΔV) and dividing it by the distance (Δx) between the two points where the potential is measured. This can be written as ΔV/Δx or dV/dx. The resulting unit is volts per meter (V/m).

3. What is the significance of potential gradient in physics?

Potential gradient is an important concept in physics as it helps to determine the strength and direction of an electric field. It also plays a role in determining the movement of charged particles within the field and the overall behavior of electric circuits.

4. How does potential gradient relate to electric potential and electric field?

Electric potential and electric field are related to potential gradient through the equation E = -dV/dx, where E is the electric field, dV is the change in potential, and dx is the distance between points. This means that the potential gradient is equal to the negative of the electric field strength.

5. Is potential gradient the same as electric potential?

No, potential gradient and electric potential are not the same. Electric potential is a scalar quantity that represents the amount of work needed to move a unit charge from one point to another in an electric field. Potential gradient, on the other hand, is a vector quantity that measures the change in potential per unit distance in an electric field.

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