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In this lesson, we will learn how to calculate 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 4 . 0 × 1 0 − 6 C/m. Calculate the magnitude of the electric field strength at a 2.0-m-perpendicular distance from the axis of the wire.

Q2:

The linear charge density of the thin semicircular wire shown is 0.030 C/m. The wire forms an arc with radius 𝑟 = 0 . 5 0 0 m . What is the magnitude of the electric field at the point 𝑃 ?

Q3:

A infinite silver rod of radius 5.0 cm has a charge of − 8 . 0 / µ C c m on its surface.

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

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

Q4:

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?

Q5:

The semicircle of thin wire shown in the diagram has a radius 𝑅 = 5 5 . 0 c m 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 𝑞 = 3 . 0 µ C that is located at the center of the semicircle?

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 𝑞 = 9 . 0 µ C , knowing that 𝑎 = 1 0 c m and 𝐿 = 4 0 c m ?

Q7:

Two parallel rods of infinite length each carries a uniform charge density 𝜆 = 0 . 0 0 1 3 0 / C m as shown in the diagram, in which the rods are seen in cross-section. The distance between the rods 𝑎 = 5 . 0 0 0 c m .

What is the magnitude of the net electric field from the rods at the point 𝑃 1 ?

What is the magnitude of the net electric field from the rods at the point 𝑃 2 ?

Q8:

A long cylinder of aluminum 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 ?

What is the electric potential at point ?

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