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Karolina [17]
3 years ago
10

The electrostatic force between two charged metal spheres is 2N. If the charge on each sphere is doubled, what is the new force

between the spheres?
Question 2 options:
A. 2N
B. 4N
C. 1N
D. 8
Physics
1 answer:
Aleks [24]3 years ago
4 0

Answer:

8 N

Explanation:

The force between two charges is given by :

F=\dfrac{kq_1q_2}{d^2}

Where

k is electrostatic constant

d is the distance between two charges

It means,

F\propto \dfrac{1}{d^2}

When the distance is d, the force is 2 N. If the charge on each sphere is doubled, q₁' = q₂' = 2q₁ = 2q₂. New force will becomes:

F'=\dfrac{kq_1'q_2'}{d^2}\\\\F'=\dfrac{k2q_1\times 2q_2}{d^2}\\\\F'=4\times \dfrac{kq_1q_2}{d^2}\\\\F'=4\times 2\\\\F'=8\ N

So, the new force becomes 8N. Hence, the correct option is (d).

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