A charge $Q$ is divided into two parts. Charge on each part is $q$ . Also, $Q / q = 2$ . What is the Columbic force between two charges $q$ and $q$ when both parts are placed certain distance apart?

Force is equal in magnitude of both but opposite in direction.

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Force is dependent on the medium in which charges are placed.

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Force is maximum irrespective of medium in which charge are placed.

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None of these

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Solution

The correct options are
A Force is equal in magnitude of both but opposite in direction.
B Force is dependent on the medium in which charges are placed.
C Force is maximum irrespective of medium in which charge are placed.
=> same forces are acting in opposite directions
=> As K depends on the medium force will change if we place the system in other medium.
=> Let the distribution of charge is done as shown
Force between $q_{1}$ and $q_{2}$

$F = \frac{K (q_{1} (Q - q_{2})}{d^{2}}$

For force to be maximum

$\frac{d F}{d q_{1}} = 0$

So, this is the distribution of charge in which force is maximum.

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A charge Q is divided into two parts. Charge on each part is q. Also, Q/q=2. What is the Columbic force between two charges q and q when both parts are placed certain distance apart?

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