Question

In: Physics

a) Calculate the acceleration, magnitude and direction, of an electron and a proton individually when put...

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

Solutions

Expert Solution

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.


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