A charge Q is divided into two charge q and Q-4 The value of q such that the force between them is maximum is

Options

A. Q
B. `3Q/4`
C. `Q/2`
D. `Q/3`

Answer

( c)

Explanation

According to columb's law,
Charge Q is divided into two charges q and Q - q Electric Field,
` E = 1/ 4 pi epsilon_(0) q_(1)q_(2)/r^(2) = 1/ 4 pi epsilon_(0) q(Q - q)/r^(2)`
`= 1/ 4 pi epsilon_(0)Q/2(Q - Q/2)/r^(2) = 1/4 pi epsilon_(0) Q/2(Q/2)/r^(2)`
` = 1/4 pi epsilon_(0)(Q/2)^(2)/r^(2)`