Two 2.0-cm-diameter disks face each other, 1.0mm apart. They are charged to +/- 10nC.?
What is the electric field strength between two parallel disks, each with a diameter of 2.0 cm, placed 1.0 mm apart and charged to ±10 nC? Additionally, if a proton is launched from the negatively charged disk toward the positively charged one, what initial speed must the proton have to just barely reach the positive disk?
3 Answers
The electric field between the plates is
E = σ/εo… where σ = area charge distribution
= 10X10^-9/(π*(0.010m)^2) = 3.183×10^-5C/m^2
and εo = 8.854×10^-12C^2/N-m^2
So E = 3.183×10^-5C/m^2/8.854×10^-12C^2/N-m^2 = 3.60×10^6N/C
Using conservation of energy we solve the second part
(K + U) b = (K + U)t…Here Ut – Ub = q*(Vt – Vb)…and Vt – Vb = E*d = 3.60×10^6V/m*1.0×10^-3m = 3595V
Since Kt = 0 we have Kb = q*E*d = 1.60×10^-19C*3595 = 5.75×10^-16J
So 1/2*m*v^2 = 5.75×10^-16J
Therefore v = sqrt(2*5.75×10^-16J/m) = sqrt(2*5.75×10^-16J/1.67×10^-27kg) = 8.30×10^5m/s
Related Questions
"If this same quantity of energy were transferred to 2.5 kg of water at its boiling point, what fraction of the water wo...
Have you ever noticed how the rear wheel of a bike seems to follow the front wheel closely? Why does this happen, and is...
What does CSS stand for: Cybernet Slash Support or Cybernet Software Systems? I came across a company located in T. Naga...
Find the circumference of a circle with a radius of 5 inches. Please express your answer in terms of pi.
How tall is 77 inches when converted to feet?
Please identify each of the following as measurements: Length Area Volume Mass Density Time Temperature...
In circle O, ST is a diameter. What is the value of x if (2x + 8) equals one of the following options: 22.0, 25.0, 25.4,...
Today's CPUs operate at speeds measured in gigahertz rather than kilohertz. Is this statement true or false?
What view in a presentation program allows you to display your slides in full-screen mode?
I have a question regarding torque in a magnetism context. I understand that the equation τ = IABsin(θ) will be relevant...