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Worksheet: Defining Equipotential Surfaces

Q1:

In a region containing an electric field, equipotential surfaces have the potentials of 𝑉 = 1 0 0 V for 𝑧 = 0 . 0 0 m, 𝑉 = 2 0 0 V for 𝑧 = 0 . 5 0 m, and 𝑉 = 3 0 0 V for 𝑧 = 1 . 0 0 m. What is the electric field in this region?

  • A ο€Ή 2 0 0 𝐸 , 2 0 0 𝐸 , 2 0 0 𝐸     V/m
  • B ο€Ή 0 𝐸 , 1 0 0 𝐸 , 1 0 0 𝐸     V/m
  • C ο€Ή 0 𝐸 , 0 𝐸 , 3 0 0 𝐸     V/m
  • D ο€Ή 0 𝐸 , 0 𝐸 , 2 0 0 𝐸     V/m
  • E ο€Ή 1 0 0 𝐸 , 0 𝐸 , 4 0 0 𝐸     V/m

Q2:

A very large sheet of insulating material has had an excess of electrons placed on it to a surface charge density of βˆ’ 3 . 0 0 nC/m2.

What is the spacing between equipotential surfaces that differ in potential by 1.00 V?

Q3:

A pair of parallel plates have a uniform charge density of 2 . 0 Γ— 1 0 βˆ’ 9 C/m2. What is the distance between equipotential surfaces parallel to the plates for which the potential differences from each other equal 25 V?