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?

  • A2.5×10 C
  • B3.8×10 C
  • C2.1×10 C
  • D2.8×10 C
  • E3.3×10 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?

  • A2.9×10 N/C
  • B3.4×10 N/C
  • C2.5×10 N/C
  • D1.7×10 N/C
  • E2.2×10 N/C

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

  • A2.4×10 N/C
  • B1.4×10 N/C
  • C1.6×10 N/C
  • D1.1×10 N/C
  • E0.66×10 N/C

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

  • A4.6×10 N
  • B6.6×10 N
  • C3.5×10 N
  • D5.9×10 N
  • E2.4×10 N

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

  • A2.7×10 N
  • B1.6×10 N
  • C3.5×10 N
  • D4.6×10 N
  • E9.3×10 N

Q3:

Earth has a net charge that produces an electric field aligned vertically downward at 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 Earth.

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

  • A3.56×10 C
  • B6.37×10 C
  • C7.23×10 C
  • D6.76×10 C
  • E7.79×10 C

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

  • A2.63×10 m/s2
  • B1.72×10 m/s2
  • C8.29×10 m/s2
  • D3.38×10 m/s2
  • E1.06×10 m/s2

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

  • A3.16×10 kg
  • B2.45×10 kg
  • C1.15×10 kg
  • D2.11×10 kg
  • E7.38×10 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?

  • A96×10 N/C
  • B0.33×10 N/C
  • C23×10 N/C
  • D3.6×10 N/C
  • E960×10 N/C

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

  • A63×10 N
  • B5.8×10 N
  • C12×10 N
  • D0.32×10 N
  • E96×10 N

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