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If everything else remains the same, but the charges of two objects are each doubled, the electrostatic force between them will be __________ times what it was before.

User Shaggydog
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1 Answer

3 votes

Answer:

Four times

Step-by-step explanation:

The electrostatic force between the two charges is given by :


F=(kq_1q_2)/(d^2)

d is the distance between two charges

k is electrostatic constant

When both charges are doubled,
q_1'=2q_1\ \text{and}\ q_2'=2q_2, new force is given by :


F'=(kq_1'q_2')/(d^2)\\\\F'=(k(2q_1)(2q_2))/(d^2)\\\\F'=4* (kq_1q_2)/(d^2)\\\\F'=4F

So, the electrostatic force between them will be four times what it was before.

User Kne
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