Given that $q_{1} + q_{2} = q.$ For what ratio $q_{1}/q$ will the force between $q_{1}$ and $q_{2}$ be maximum?

Question

Dr. Abubacker · Accepted Answer

(b) $F = \frac{q_{1q_{2}}}{4\pi\varepsilon_{0}r^{2}} = \frac{q_{1\left( q_{1} - q_{2} ight)}}{4\pi\varepsilon_{0}r^{2}}$
$	herefore F$ will be maximum, if
$\frac{dF}{dq_{1}} = 0$
$	herefore q - 2q_{1} = 0\ or\ q_{1} = q/2\ $or $q_{1}/q$ $= 0.5$

Q. Given that $q_{1} + q_{2} = q.$ For what ratio $q_{1}/q$ will the force between $q_{1}$ and $q_{2}$ be maximum?

Explanation

Reviewed by Dr. Abubacker

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