JEE MAIN - Physics (2022 - 27th July Evening Shift - No. 9)

A charge of $$4 \,\mu \mathrm{C}$$ is to be divided into two. The distance between the two divided charges is constant. The magnitude of the divided charges so that the force between them is maximum, will be :
$$1 \,\mu \mathrm{C}$$ and $$3 \,\mu\mathrm{C}$$
$$2 \,\mu \mathrm{C}$$ and $$2\, \mu \mathrm{C}$$
0 and $$4\, \mu\, \mathrm{C}$$
$$1.5 \,\mu \mathrm{C}$$ and $$2.5\, \mu \mathrm{C}$$

Explanation

JEE Main 2022 (Online) 27th July Evening Shift Physics - Electrostatics Question 91 English Explanation

so $$F = {{kq(4 - q) \times {{10}^{ - 12}}} \over {{r^2}}}$$

so Fmax will be at q = 2 $$\mu$$C

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