Question

An electron is released from rest at a distance of 0.460 m from a large insulating sheet of charge that has uniform surface charge density 4.00×10-12 c/m2. What is the force experienced by the electron due to the electric field created by the sheet?

Answer 1

The force experienced by the electron due to the electric field created by the insulating sheet can be calculated using the formula F = qE, where F is the force, q is the charge of the electron, and E is the electric field strength. The electric field strength can be calculated using E = σ / ε₀, where σ is the surface charge density of the sheet and ε₀ is the permittivity of free space.

Step-by-step explanation:

The force experienced by the electron due to the electric field created by the insulating sheet can be calculated using the formula:

F = qE

Where F is the force, q is the charge of the electron, and E is the electric field strength. In this case, the charge of the electron is 1.60 x 10^-19 C and the electric field strength can be calculated as:

E = σ / ε₀

Where σ is the surface charge density of the sheet and ε₀ is the permittivity of free space. Plugging in the given values, the electric field strength is:

E = (4.00 x 10^-12 C/m²) / (8.85 x 10^-12 C²/N·m²) = 0.452 N/C

Finally, plugging the values of q and E into the formula for force:

F = (1.60 x 10^-19 C)(0.452 N/C) = 7.23 x 10^-20 N