What happens to the force between two charged objects when you triple the magnitude of both charges?

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23-05-2022
Mathematics

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What happens to the force between two charged objects when you triple the magnitude of both charges?

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shivishivangi1679 shivishivangi1679 · Answer 1 · 2022-06-01T15:57:11+02:00

If the force between two charged objects when you triple the magnitude of both charges. The Force will become 9 times the initial force.

What is coulombs law?

According to coulombs law force between two charges is given by

[tex]F = \dfrac{1}{4\pi \epsilon }\dfrac{Qq}{r^2}[/tex]

Here, R is the distance between both the charges Q and q.

Let the force on the charges be F1

The distance of separation = r

The magnitudes of the charges q1 and q2

K = Coulumb's constant

[tex]F = \dfrac{1}{4\pi \epsilon }\dfrac{Qq}{r^2}[/tex]

Let the force on the charges be F

The distance of separation = r

The magnitudes of the charges 3q1 and 3q2

K = Coulumb's constant

So,

[tex]F = \dfrac{1}{4\pi \epsilon }\dfrac{Qq}{r^2}[/tex]

[tex]F = \dfrac{1}{4\pi \epsilon }\dfrac{3Q\times 3q}{r^2}\\\\F = \dfrac{1}{4\pi \epsilon }\dfrac{9Qq}{r^2}\\\\F =9 \dfrac{1}{4\pi \epsilon }\dfrac{Qq}{r^2}\\\\F = 9F_1[/tex]

Learn more about coulombs law;

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