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Find electrostatic force between two electrons kept at a separ

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Find electrostatic force between two electrons kept at a separation of $1 cm$ . Also find gravitational force between them. What do you conclude?

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Physics for JEE Main and Advanced Electrostatics and Current Electricity (McGraw Hill)

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Electrostatic force arises due to charge possessed by the electrons. It is calculated using Coulomb's law. Gravitational force arises due to mass possessed by the electrons. It is calculated using Newton's law of gravitation. To compare the two forces (or any two quantities), one way is to get their ratio. Electrostatic force is

F_{e} = k \frac{e \cdot e}{r ^{2}} = 9 \times 1 0^{9} \times \frac{( 1.6 \times 1 0 ^{- 19} ) ^{2}}{( 0.01 ) ^{2}}

= 2.3 \times 1 0^{- 24} N

[Repulsion] Gravitational force is

F_{g} = G \frac{m \cdot m}{r ^{2}} = 6.7 \times 1 0^{- 11} \times \frac{( 9.1 \times 1 0 ^{- 31} ) ^{2}}{( 0.01 ) ^{2}}

= 5.5 \times 1 0^{- 67} N

[Attraction] Ratio of electric and gravitational force is

\frac{F _{e}}{F _{g}} = \frac{2.3 \times 1 0 ^{- 24}}{5.5 \times 1 0 ^{- 67}} = 4.1 \times 1 0^{42}

We conclude that: (a) Electrostatic force is far more stronger than gravitational force. (b) While studying interactions between light weight charged particles their gravitational interaction can be neglected.

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Question Text	Find electrostatic force between two electrons kept at a separation of $1 cm$ . Also find gravitational force between them. What do you conclude?
Topic	Electric Charges and Fields
Subject	Physics
Class	Class 12
Answer Type	Text solution:1
Upvotes	84

Find electrostatic force between two electrons kept at a separation of $1 cm$ . Also find gravitational force between them. What do you conclude?

Text solutionVerified

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