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Worksheet: Electric Potential of a Charged Disk

Q1:

A CD disk of radius 𝑅 = 3 . 0 c m is sprayed with a charged paint so that the charge varies continually with radial distance π‘Ÿ from the center in the following manner: 𝜎 = βˆ’ 6 . 0 / ο€» π‘Ÿ 𝑅  C m .

Find the potential at a point 4.0 cm above the center.

Q2:

A thin conducting plane has a charge density of βˆ’ 9 . 0 Γ— 1 0 βˆ’ 6 C/m2. An electron is placed 0.80 cm above the the plane. What is the magnitude of the acceleration of the electron?

  • A 2 5 Γ— 1 0 1 5 m/s2
  • B 3 6 Γ— 1 0 1 5 m/s2
  • C 2 . 9 Γ— 1 0 1 4 m/s2
  • D 3 . 0 Γ— 1 0 1 5 m/s2
  • E 3 . 2 Γ— 1 0 1 5 m/s2

Q3:

Two square conducting plates of side length 50.0 cm are placed parallel to each other 9.0 mm apart. What magnitude electric field is generated between the plates after 1 0 1 3 electrons are transferred from one plate to the other?

  • A 7 4 Γ— 1 0 5 N/C
  • B 9 6 Γ— 1 0 5 N/C
  • C 3 . 2 Γ— 1 0 5 N/C
  • D 7 . 2 Γ— 1 0 5 N/C
  • E 3 . 6 Γ— 1 0 5 N/C

Q4:

A proton moves horizontally at an initial speed 𝜈 = 8 . 0 Γ— 1 0 / 6 m s directly toward a large, positively charged plate that has a surface charge density of 9 . 0 Γ— 1 0 βˆ’ 5 C/m2. What is the proton’s horizontal displacement from the plate at the point where it comes instantaneously to rest?

  • A 9 8 Γ— 1 0 βˆ’ 6 m
  • B 6 5 Γ— 1 0 βˆ’ 6 m
  • C 9 . 3 Γ— 1 0 βˆ’ 6 m
  • D 4 . 5 Γ— 1 0 βˆ’ 6 m
  • E 4 1 Γ— 1 0 βˆ’ 6 m

Q5:

A thin conducting plate 4.00 m on a side is given a total charge of βˆ’ 1 8 . 0 Β΅C. A point 𝑃 is located at the center of the plate 2.00 cm above its surface.

What is the magnitude of the electric field at the point 𝑃 ?

  • A 6 3 . 3 Γ— 1 0 4 N/C
  • B 2 3 4 Γ— 1 0 4 N/C
  • C 9 8 . 1 Γ— 1 0 4 N/C
  • D 6 . 3 5 Γ— 1 0 4 N/C
  • E 9 7 . 5 Γ— 1 0 4 N/C

What is the magnitude of the electric force on an electron at the point 𝑃 ?

  • A 1 . 0 2 Γ— 1 0 βˆ’ 1 4 N
  • B 3 . 2 5 Γ— 1 0 βˆ’ 1 4 N
  • C 4 5 6 Γ— 1 0 βˆ’ 1 4 N
  • D 3 2 5 Γ— 1 0 βˆ’ 1 4 N
  • E 1 2 5 Γ— 1 0 βˆ’ 1 4 N

An electron is moved 1.00 cm vertically downward from the point 𝑃 . What is the work done by the electric field on the electron?

  • A 1 2 5 Γ— 1 0 βˆ’ 1 6 J
  • B 3 0 Γ— 1 0 βˆ’ 1 6 J
  • C 1 . 0 2 Γ— 1 0 βˆ’ 1 6 J
  • D 1 . 0 2 Γ— 1 0 βˆ’ 1 4 J
  • E 1 . 0 2 Γ— 1 0 βˆ’ 1 3 J