CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Charge

Two identical...

Question

Two identical spheres having charges $+ q_{1}$ and $+ q_{2}$ are kept at a distance "d". These two are brought in contact with an insulated handle and again separated to the same distance. Find the force $F_{2}$ between them in terms of initial force $F_{1}$ .

Open in App

Solution

Force between the two charges ( $+ q_{1} a n d + q_{2})$ , if they are at a distance 'd' is
$F_{1} = \frac{1}{4 π ϵ_{0}} \frac{q_{1} q_{2}}{d^{2}} . . . . . (1)$
When the metal spheres are in contact the charge flow from one sphere to another till both the spheres acquire the same charge.
Here $q_{1} a n d q_{2}$ are of same sign, hence after contact each sphere will have a charge $\frac{(q_{1} + q_{2})}{2}$
The new charge $Q = \frac{q_{1} + q_{2}}{2}$
Now the force between them,
$F_{2} = \frac{1}{4 π ϵ_{0}} \frac{[\frac{q_{1} + q_{2}}{2}]^{2}}{d^{2}} . . . . . (2)$
From equations (1) and (2)
$F_{2} = F_{1} \frac{(q_{1} + q_{1})^{2}}{4 q_{1} q_{2}}$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Two identical small conducting spheres carry charges of

Q_{1}

Q_{2}

Q_{1} >> Q_{2}

. The spheres are d distance apart. The force they exert on each other is

F_{1}

. The spheres are made to touch each other and then separated by a distance d. The force they exert on each other now is

F_{2}

F_{1} / F_{2}

Q. Two identical small conducting spheres having unequal positive charges

q_{1}

q_{2}

are separated by a distance r. If they are now made to touch each other and then separated again to the same distance, the electrostatic force between them in this case will be :

Q. Two small conducting sphere of equal have charges

10 μ C

- 20 μ C

are placed at a distance

^{'} R^{'}

from each other experience force

F_{1}

. If the are brought in contact and separated to the same distance, they experience force

F_{2}

F_{1}

F_{2}

Q. Two small conducting spheres of equal radius have charges

+ 10 μ C

- 20 μ C

respectively and placed at a distance R from each other experience force

F_{1}

. If they are brought in contact and separated to the same distance, they experience force

F_{2}

F_{1}

F_{2}

Q. Two small identical spheres having charges

+ 10 μ C

- 90 μ C

attract each other with a force of

F

Newton. If they are Kept in contact and then separated by the same distance, The new force between them is:

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Charge_tackle

PHYSICS

Watch in App

explore_more_icon

Explore more

Standard IX Physics

Join BYJU'S Learning Program

CrossIcon