In the Bohr model of the hydrogen atom, the electron moves in a circular orbit of radius 5.3×10−11m with a speed of 2.2×106m/s. Find the direction of the electric field that the electron produces at the location of the nucleus (treated as a point).

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Answer:

The magnitude of the electric field is 512171146711.7046 N/C.

The direction is toward the electron as electron has negative charge.

Explanation:

e = Charge of electron = [tex]1.6\times 10^{-19}\ C[/tex]

r = Radius of circular orbit = [tex]5.3\times 10^{-11}\ m/s[/tex]

[tex]\epsilon_0[/tex] = Permittivity of free space = [tex]8.85\times 10^{-12}\ F/m[/tex]

The Electric field is given by

[tex]E=\frac{e}{4\pi\epsilon_0 r^2}\\\Rightarrow B=\frac{1.6\times 10^{-19}}{4\pi\times 8.85\times 10^{-12}\times (5.3\times 10^{-11})^2}\\\Rightarrow E=512171146711.7046\ N/C[/tex]

The magnitude of the electric field is 512171146711.7046 N/C.

The direction is toward the electron as electron has negative charge.

The direction of electric field is 512171146711.7046 N/C.

From the question,

e = Charge of electron is 1.6× 10-9

r = Radius of circular orbit is 5.3× 10-11

Permittivity of free space is 8.85 × 10-12

The Electric field is written below.

E=c/4πeor^2

E= 1.6×10-19/4π × 8.85×5.3×10-11

E= 512171146711.7N/c.

What is electric field?

Electric field refer to field that have charged particles both positive and negative charge.

Therefore, Therefore, The direction of electric field is 512171146711.7046 N/C.

Learn more about electric field below.

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