# 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.