Question

An infinitely long line of charge has linear charge denity 4.00×10⁻¹² C/m. A proton (mass How close does the proton get to the line of charge? 1.87×10⁻²⁷ kg, charge +1.60×10⁻¹² C) is Express your answer with the appropriate units. 18.0 cm from the line and moving directly toward the line at 3.20×10⁻³ m/s.

Answer 1

To determine the closest approach of the proton to the line of charge, we can calculate the electric field and force, and find the distance at which the electric force equals the gravitational force.

Step-by-step explanation:

To determine how close the proton gets to the line of charge, we can use the concept of electric field and electric force. The electric field created by the line of charge can be calculated using the formula E = λ/(2πε₀r), where λ is the linear charge density, ε₀ is the permittivity of free space, and r is the distance from the line of charge. The electric force experienced by the proton can be calculated using the formula F = qE, where q is the charge of the proton. Using these formulas, we can find the distance at which the electric force equals the gravitational force acting on the proton, which would be its closest approach to the line of charge.