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.

**Q3: **

A long cylinder of aluminium of radius 0.25 metres 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 centre 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