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Two equal and opposite charges attract e...

Two equal and opposite charges attract each other by a force F. If half of the charge from one is transferred to the other without changing distance between the charges, the force between the charges now become

A

F

B

`(3F)/(4)`

C

`(F)/(2)`

D

`(F)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
B
Let `q_(1)= q_(2)=q`
`:. F = (1)/(4piepsilon_(0))(q^(2))/(r^(2))`
According to question, `q_(1)= (q)/(2)` and `q_(2)= (3q)/(2)`
Now force,
`F_(1)= (1)/(4piepsilon_(0))((q)/(2).(3q)/(2))/(r^(2))`
`F_(1)= (3)/(4)(1)/(4piepsilon_(0))(q^(2))/(r^(2))` ....(ii)
From Eqs. (i) and (ii)
`F_(1)= (3)/(4)F`
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