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Electric and Magnetic Fields

Electric potential and field strength as a potential gradient

  • 2 things to know
  • Papers 1 and 3

Overview

Recall questions on the definition and unit of potential, field strength as minus the potential gradient, and reading each from the other's graph.

What you need to know

Answer each one before you reveal it.

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Numbers

What is the unit of electric potential, how is field strength related to potential, and why is there a minus sign?

Numbers

How is field strength found from a potential-distance graph, what does the area under a field strength-distance graph represent, and what is the field strength between two parallel charged plates?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    How is the electric potential at a point defined?

    Model answer

    It is the work done per unit positive charge in bringing a small charge from infinity to that point.

  2. 2

    What is the unit of electric potential?

    Model answer

    The volt, V, which is equivalent to the joule per coulomb, J C⁻¹.

  3. 3

    What is the relation between electric field strength and electric potential?

    Model answer

    The field strength is the negative of the potential gradient, E = −ΔV/Δx.

  4. 4

    Why does a minus sign appear in the relation between field strength and potential gradient?

    Model answer

    Because the field acts in the direction in which potential decreases.

  5. 5

    How can the field strength be found from a graph of potential against distance?

    Model answer

    It is the magnitude of the gradient of the potential-distance graph at that point.

  6. 6

    What does the area under a graph of field strength against distance represent?

    Model answer

    It represents the potential difference between the two positions concerned.

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