the force between 2 point charges is 100N in air. calculate the force if the distance between the charges is increased by 50%.
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Explanation:
∵ Force is inversely proportional to distance between two charges .
Let initial distance between two charges q₁ and q₂ is r
And force acts between them , 100N = Kq²/r²
Now, when distance between charges = r + 50% of r
= 3r/2
Then, force acts between them , F' = Kq²/(3r/2)² = 4Kq²/9
Now, dividing both the equations ,
100/F' = {Kq²/r²}/{4Kq²/9} = 9/4
F' = 400/9 = 44.44N
Hence, answer is 44.44N
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