Worksheet: Electric Field of a Point Charge

In this worksheet, we will practice calculating the electrostatic force produced at a given distance from a point charge.

Q1:

The magnitude of an electric field is 100 N/C at a distance of 0.50 m from a point particle that has a charge of 𝑞, what is the value of 𝑞?

  • A 2 . 5 × 1 0 C
  • B 3 . 8 × 1 0 C
  • C 2 . 1 × 1 0 C
  • D 2 . 8 × 1 0 C
  • E 3 . 3 × 1 0 C

Q2:

An electron is located 1.0×10 m away from an alpha-particle. The alpha-particle has exactly double the charge of the electron.

What is the magnitude of the electric field due to the alpha-particle at the location of the electron?

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

What is the magnitude of the electric field due to the electron at the location of the alpha-particle?

  • A 2 . 4 × 1 0 N/C
  • B 1 . 4 × 1 0 N/C
  • C 1 . 6 × 1 0 N/C
  • D 1 . 1 × 1 0 N/C
  • E 0 . 6 6 × 1 0 N/C

What is the magnitude of the electric force on the alpha-particle?

  • A 4 . 6 × 1 0 N
  • B 6 . 6 × 1 0 N
  • C 3 . 5 × 1 0 N
  • D 5 . 9 × 1 0 N
  • E 2 . 4 × 1 0 N

What is the magnitude of the electric force on the electron?

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

Q3:

The Earth has a net charge that produces an electric field aligned vertically downward at the earth’s surface. Assume a value of 150 N/C for the magnitude of the electric field and a value of 6,731 km for the radius of the Earth.

What is the magnitude and sign of Earth’s excess charge, noting the electric field of a conducting sphere is equivalent to a point charge at its center?

  • A 3 . 5 6 × 1 0 C
  • B 6 . 3 7 × 1 0 C
  • C 7 . 2 3 × 1 0 C
  • D 6 . 7 6 × 1 0 C
  • E 7 . 7 9 × 1 0 C

What magnitude acceleration will the Earth’s electric field produce on a free electron near Earth’s surface?

  • A 2 . 6 3 × 1 0 m/s2
  • B 1 . 7 2 × 1 0 m/s2
  • C 8 . 2 9 × 1 0 m/s2
  • D 3 . 3 8 × 1 0 m/s2
  • E 1 . 0 6 × 1 0 m/s2

What mass object with a single extra electron will have its weight supported by the Earth’s electric field near the Earth’s surface?

  • A 3 . 1 6 × 1 0 kg
  • B 2 . 4 5 × 1 0 kg
  • C 1 . 1 5 × 1 0 kg
  • D 2 . 1 1 × 1 0 kg
  • E 7 . 3 8 × 1 0 kg

Q4:

An electron orbiting in a hydrogen atom is separated from the atom’s nucleus by a distance of 6.32×10 m.

What is the magnitude of the electric field of the nucleus at the point where the electron is located?

  • A 9 6 × 1 0 N/C
  • B 0 . 3 3 × 1 0 N/C
  • C 2 3 × 1 0 N/C
  • D 3 . 6 × 1 0 N/C
  • E 9 6 0 × 1 0 N/C

What is the magnitude of the electric force on the electron from the nucleus at the point where the electron is located?

  • A 6 3 × 1 0 N
  • B 5 . 8 × 1 0 N
  • C 1 2 × 1 0 N
  • D 0 . 3 2 × 1 0 N
  • E 9 6 × 1 0 N

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