# Two similar spheres having +Q and -Q charges at a kept distance . F force act on between two.if at the middle of the two sphere another similar sphere having +Q is kept then it experience a force in magnitude and direction as

### Asked by nonuhasan2 | 28th Nov, 2021, 09:43: PM

Expert Answer:

###
Initially two charges +Q and -Q are positioned at ( d, 0 ) and (-d, 0 ) in cartesian coordinate system.
Then +Q charge is placed at Origin.
There is a force of repulsion F_{r} between +Q and +Q charges in +x-axis direction.
There is a force of attraction F_{r} between +Q and -Q charges in +x-axis direction.
Hence magnitude of total force F_{a} + F_{r} = 2 × K × ( Q^{2} / d^{2} )
where K = 1/(4πε_{o} ) = 9 × 10^{9} N m^{2} C^{-2} is coulomb's constant
Direction of total force is +x- axis direction , i.e. from central +Q charge towards -Q charge

_{r}between +Q and +Q charges in +x-axis direction.

_{r}between +Q and -Q charges in +x-axis direction.

_{a}+ F

_{r}= 2 × K × ( Q

^{2}/ d

^{2})

_{o}) = 9 × 10

^{9}N m

^{2}C

^{-2}is coulomb's constant

### Answered by Thiyagarajan K | 29th Nov, 2021, 08:25: AM

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