Question

A proton and an electron are fixed 1.75 nm apart from each other. What is the force exerted on the electron due to the proton?

Answer 1

The electrostatic force exerted by the proton on the electron is given by:

$F=k\frac{q_p q_e}{r^}$

where

$k=9.0 \cdot 10^9 N m^2 C^{-2}$ is the Coulomb's constant

$q_p = q_e = 1.6 \cdot 10^{-19} C$ is the magnitude of the charge of the proton and of the electron

$r=1.75 m$ is the distance between the proton and the electron

Substituting these data into the formula, we find the magnitude of the electrostatic force:

$F=(9.0 \cdot 10^9) \frac{(1.6 \cdot 10^{-19})(1.6 \cdot 10^{-19})}{(1.75)^2}=7.5 \cdot 10^{-29} N$

Answer 2

The magnitude of electrical force between them is about 7.52 × 10⁻¹¹ Newton

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Further explanation

Electric charge consists of two types i.e. positively electric charge and negatively electric charge.

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There was a famous scientist who investigated about this charges. His name is Coulomb and succeeded in formulating the force of attraction or repulsion between two charges i.e. :

$\large {\boxed {F = k \frac{Q_1Q_2}{R^2} } }$

F = electric force (N)

k = electric constant (N m² / C²)

q = electric charge (C)

r = distance between charges (m)

The value of k in a vacuum = 9 x 10⁹ (N m² / C²)

Let's tackle the problem now !

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Given:

charge of proton = q₁ = 1.6 × 10⁻¹⁹ C

charge of electron = q₂ = 1.6 × 10⁻¹⁹ C

distance between proton and electron = R = 1.75 nm = 1.75 × 10⁻⁹ m

Unknown:

electrical force between them = F = ?

Solution:

$F = k \frac{q_1 q_2}{R^2}$

$F = 9 \times 10^9 \times \frac{ 1.6 \times 10^{-19} \times 1.6 \times 10^{-19} }{ ( 1.75 \times 10^{-9} )^2 }$

$F = 9 \times 10^9 \times \frac{ 2.56 \times 10^{-38} }{ 3.0625 \times 10^{-18} }$

$F \approx 7.52 \times 10^{-11} \texttt { Newton}$

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Learn more

• The three resistors : brainly.com/question/9503202
• A series circuit : brainly.com/question/1518810
• Compare and contrast a series and parallel circuit : brainly.com/question/539204

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Answer details

Grade: High School

Subject: Physics

Chapter: Static Electricity

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Keywords: Series , Parallel , Measurement , Absolute , Error , Combination , Resistor , Resistance , Ohm , Charge , Small , Forces