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Worksheet: Electric Field of a Line of Charge

Q1:

A long, straight wire has a uniform linear charge density of C/m. Calculate the magnitude of the electric field strength at a 2.0-m-perpendicular distance from the axis of the wire.

  • A N/C
  • B N/C
  • C N/C
  • D N/C
  • E N/C

Q2:

A very long, thin wire has a uniform linear charge density of 50 µC/m. What is the magnitude of the electric field 2.0 cm from the axis of the wire?

  • A C
  • B C
  • C C
  • D C
  • E C

Q3:

A long cylinder of aluminum of radius 0.25 meters is charged so that it has a uniform charge per unit length on its surface of C/m. A point is located along a line normal to the cylinder’s axis, 0.15 m from the axis.

What is the magnitude of the electric field at point ?

  • A N/m
  • B N/m
  • C N/m
  • D N/m
  • E N/m

What is the electric potential at point ?

  • A 760 kV
  • B 640 kV
  • C 710 kV
  • D 550 kV
  • E 830 kV

Q4:

The linear charge density of the thin semicircular wire shown is 0.030 C/m. The wire forms an arc with radius . What is the magnitude of the electric field at the point ?

  • A N/C
  • B N/C
  • C N/C
  • D N/C
  • E N/C

Q5:

The semicircle of thin wire shown in the diagram has a radius and the charge per unit length of the wire is 0.0063 C/m. What magnitude of electric force is exerted by the wire on a point particle with charge that is located at the center of the semicircle?

  • A N
  • B N
  • C N
  • D N
  • E N

Q6:

A thin rod has a linear charge density of 0.0022 C/m. What is the magnitude of the electric force on the point charge , knowing that and ?

  • A N
  • B N
  • C N
  • D N
  • E N

Q7:

A infinite silver rod of radius 5.0 cm has a charge of on its surface.

Find the magnitude of the electric field at a point 9.5 cm from the center of the rod.

  • A
  • B
  • C
  • D
  • E

Find the magnitude of the electric field at a point 4.8 cm from the center of the rod.