lectric fields & forces. What is the strength of the electric field between two

Question

lectric fields & forces. What is the strength of the electric field between two parallel plates at -1000 V and a. +1300 V with respect to ground, if they are separated by 5mm? b. Same as a, but the plates are at 0 and 2300 V with respect to ground? c. What is the force on a doubly charged (++) argon ion located between the plates of case (a)? d. What speed will that ion acquire after 2 mm of motion (if initially stationary)? e. What is the net electric force on a neutral argon atom in an electric field of 106 V/m?

Explanation / Answer

E = dV/d = (1300-(-1000))/(5*10^-3) = 4.6*10^5 V/m

b) E = (2300)/(5*10^-3) = 4.6*10^5 V/m

c) F = q*E = (2*1.6*10^-19*4.6*10^5) = 1.472*10^-13 N

d) Work done = change in kinetic energy

W = Kf-Ki

F*S = 0.5*m*v^2

1.472*10^-13*2*10^-3 = 0.5*2*1.67*10^-27*v^2

v = 4.2*10^5 m/sec

e) on neutral argon,Net electric force is zero

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