# Worksheet: The Electric Field of a Line of Charge

In this worksheet, we will practice calculating the electric field around a uniform linear charge distribution that is modeled as a set of line segments.

Q1:

A long, straight wire has a uniform linear charge density of C/m. Calculate the magnitude of the electric field strength at a perpendicular distance of 2.0 m 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 V/m
• B V/m
• C V/m
• D V/m
• E V/m

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 ?

• A640 kV
• B760 kV
• C830 kV
• D550 kV
• E710 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 P? • 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.

Q8:

Two parallel rods of infinite length each carries a uniform charge density as shown in the diagram, in which the rods are seen in cross-section. The distance between the rods . What is the magnitude of the net electric field from the rods at the point ?

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

What is the magnitude of the net electric field from the rods at the point ?

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