Electric Field and Charge Calculations

The video tutorial explains how to solve a problem involving an imaginary cylinder with a line of charge. It covers calculating the total charge enclosed by the Gaussian cylinder, determining the electric flux through the cylinder using Gauss's Law, and deriving the electric field at a distance from the line of charge. The tutorial provides step-by-step guidance on using relevant equations and concepts, such as linear charge density, electric flux, and the application of Gauss's Law.

What is the linear charge density of the line of charge in the problem?

• 35 nanocoulombs per meter

• 75 nanocoulombs per meter

• 1.5 nanocoulombs per meter

• 100 nanocoulombs per meter

How do you calculate the total charge enclosed by the Gaussian cylinder?

• Add the radius and the length

• Divide the linear charge density by the length

• Multiply the length by the linear charge density

• Multiply the radius by the linear charge density

What is the total charge enclosed by the Gaussian cylinder?

• 1.125 * 10^-9 C

• 1.125 * 10^-6 C

• 1.125 * 10^-5 C

• 1.125 * 10^-7 C

Which law is used to calculate the electric flux through the cylinder?

• Faraday's Law

• Ohm's Law

• Gauss's Law

• Coulomb's Law

What is the nature of the electric flux through the cylinder if it encloses a positive charge?

• Circular electric flux

• Outward electric flux

• Inward electric flux

• No electric flux

What is the unit for electric flux?

• Newtons times square meter per coulomb

• Newtons per coulomb

• Coulombs per square meter

• Newtons per meter

What is the formula for the electric field from an infinite line of charge?

• E = Lambda / (pi * R * epsilon_0)

• E = 2 * pi * R * epsilon_0 / Lambda

• E = Lambda * R / (2 * pi * epsilon_0)

• E = Lambda / (2 * pi * R * epsilon_0)

At what distance is the electric field calculated from the infinite line of charge?

• 2 meters

• 4 meters

• 1 meter

• 3 meters

What is the value of the electric field 3 meters away from the line of charge?

• 450 N/C

• 350 N/C

• 250 N/C

• 550 N/C

Which area of the cylinder is used to calculate the electric field?

• Top and bottom circles

• Lateral area

• Total surface area

• Base area