In: Physics
a) Calculate the acceleration, magnitude and direction, of an electron and a proton individually when put a distance d = 9 nm away from an infinite line of charge with linear charge density λ = 5 ∗ 10^(−10) C/m
b) Calculate the acceleration, magnitude and direction, of an electron and a proton individually when put a distance d = 9 nm away from an infinite sheet of charge with surface charge density σ = 5 ∗ 10^(−10) C/m^2
a)
Force on proton or electron is 
Electric field due to an infinite line of charge is 
For proton charge 
, mass 
Acceleration of proton is 

Magnitude of acceleration of proton is 
Direction of acceleration of proton is away from the line of charge.
For electron charge 
, mass 
Acceleration of electron is 

Magnitude of acceleration of electron is 
Direction of acceleration of electron is towards the line of charge.
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b)
Electric field due to an infinite sheet of charge is 
Acceleration of proton is 

Magnitude of acceleration of proton is 
Direction of acceleration of proton is away from the sheet of charge.
Acceleration of electron is 

Magnitude of acceleration of electron is 
Direction of acceleration of electron is towards the sheet of charge.