Grade 12Electrostatics

Two charges +9e and +e are kept 16cm apart. Where should be the third charge q be placed between them so that system remains equillibrium

RANJEET Choudhary

8 Years agoGrade 12

3 Answers

Arun

8 Years ago

Given charges: +e and +9e

Let the third chare q be placed at a distance x from e and hence its distance from 9e is 16-x cm

For the system to remain in equilibrium,

F1 = F2

Therefore,

F1 = K(e q)/x2

F2 = K(9e)/(16-x)2

Equating F1 and F2 , we get,

9/x2 = 1/(16-x)2

Taking square root on both sides:

3/x = 1/(16-x)

Solving for x, we get,

x = 12cm

hence the charge q should be placed at 12 cm from e.

Naina gill

7 Years ago

Two point charges +9e and +1e are kept at a distance of 16cm apart from each other at what point between these charges should a third charge q' be placed.so that it remains in equilibrium?

Rishi Sharma

6 Years ago

Dear Student,
Please find below the solution to your problem.

+e and +9e
Let the third chare q be placed at a distance x from e and hence its distance from 9e is 16-x cm
For the system to remain in equilibrium,
F1 = F2
Therefore,
F1 = K(e q)/x2
F2 = K(9e)/(16-x)2
Equating F1 and F2 , we get,
9/x2= 1/(16-x)2
Taking square root on both sides:
3/x = 1/(16-x)
Solving for x, we get,
x = 12cm
hence the charge q should be placed at 12 cm from e.

Thanks and Regards