Calculating the Total Charge Inside a Positively Charged Solid Nonconducting Cylinder

Understanding the Charge Inside a Positively Charged Solid Nonconducting Cylinder

A positively charged solid nonconducting cylinder with a length of 10 m and a radius of 50 mm has a uniform volume charge density of +6.0 × 10⁻⁹ C/m³. To determine the total charge inside the cylinder, we need to use the relevant formula and calculations.

Determination of the Total Charge Inside the Cylinder

A positively charged solid nonconducting cylinder with a length of 10 m, a radius of 0.05 m, and a volume charge density of +6.0 × 10⁻⁹ C/m³ contains a certain amount of charge within its volume. By utilizing the formula for the volume of a cylinder and applying the volume charge density, we can find the total charge.

Calculation Results

Question: What is the charge inside the cylinder?

Final answer: The total charge inside the positively charged solid nonconducting cylinder with a length of 10 m, radius of 0.05 m, and volume charge density of +6.0 × 10⁻⁹ C/m³ is approximately 4.71 × 10⁻¹⁰ C.

Explanation of Calculation

Explanation: The question involves determining the total charge within a positively charged solid nonconducting cylinder characterized by its dimensions and volume charge density. By applying the volume formula and charge density, we can derive the total charge. The calculation process involves substituting the given values into the formula to obtain the final charge value.