Calculating Charge of Solid Plastic Cylinders

Three Solid Plastic Cylinders Data

Three solid plastic cylinders all have radius 2.59 cm and length 5.70 cm. Find the charge of each cylinder given the following additional information about each one:

• Cylinder (a) carries charge with uniform density 15.5 nC/m² everywhere on its surface.
• Cylinder (b) carries charge with uniform density 15.5 nC/m² on its curved lateral surface only.
• Cylinder (c) carries charge with uniform density 495 nC/m³ throughout the plastic.

Calculating the Charge of Each Cylinder

Final answer: To determine the charge of each cylinder, calculate the total charge based on the given information using charge density and surface area or volume.

Explanation:

In order to find the charge of each cylinder, we need to calculate the total charge based on the given information. For cylinder (a), which has charge with uniform density 15.5 nC/m² everywhere on its surface, we can calculate the total charge by multiplying the surface area of the cylinder by the charge density.

For cylinder (b), which has charge with uniform density 15.5 nC/m² on its curved lateral surface only, we can calculate the total charge by multiplying the curved surface area of the cylinder by the charge density.

For cylinder (c), which has charge with uniform density 495 nC/m³ throughout the plastic, we can calculate the total charge by multiplying the volume of the cylinder by the charge density.

Question:

How can the charge of each cylinder be calculated based on the given information?

Answer:

The charge of each cylinder can be calculated by multiplying the surface area or volume of the cylinder by the respective charge density provided for each cylinder.