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If the charge is tripled for two identical charges maintained at a constant separation, The electric force between then will be changed by what factor?

A: 1/9
B: 2/3
C: 9
D: 18

User Yorammi
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1 Answer

4 votes

Answer:

The electric force between them will be changed by the factor, E = 9

Step-by-step explanation:

Given data,

The charge of the two identical charges, q = Q C

The distance between the charges, d = x

According to the Coulomb's law, the electric force between the two charges is given by,

F = k QQ/ x²

Where,

k is a constant equal to 9 x 10⁹ N m² C⁻²

If the amount of charges are tripled,

F' = k (3Q)(3Q)/x²

F' = 9 k Q Q / x²

F' = 9 F

Hence, the electric force between them will be changed by the factor, E = 9

User Anton Palyok
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6.1k points