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A proton and an electron are separated by 1×10-10m the radius of a typical atom. Calculate the magnitude of the electric force that the proton exerts on the electron and the magnitude of the electric force that the electron exerts on the proton.

Short Answer

Expert verified

The magnitude of the force that the proton exerts on the electron is 2.304×10-8N.

The magnitude of the force that the electron exerts on the proton is 2.304×10-8N.

Step by step solution

01

Definition of Coulomb's law.

Coulomb's law is the most fundamental in electrostatics. This law determines the force one charged particle exerts over the other and vice versa. The physical expression of this law is:

F=14πε0q1q2r2

Here, r is the distance between two charged particles, and q is the charges.

02

Determine the proton's force exerted on the electron.

As it is known that the charge of the electron isq1=-1.6×10-19C

It is also known the charge of the proton isdata-custom-editor="chemistry" q2=+1.6×10-19C

It is given that the separation between the electron and proton is data-custom-editor="chemistry" r=1×10-10m.

It is known that the force can be determined as:

data-custom-editor="chemistry" F=14πε0q1q2r2=9×109×1.6×10-1921×10-102=2.304×10-8N

03

Determine the electron's force exerted on the proton.

As it is known that the charge of the electron isq1=-1.6×10-19C

It is also known the charge of the proton isq2=+1.6×10-19C

It is given that the separation between the electron and proton isr=1×10-10m

It is known that the force can be determined as:

F=14πε0q1q2r2=9×109×1.6×10-1921×10-102=2.304×10-8N

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