Question

three point charge q ,q and - q are placed at the corner of an equilateral triangle of side a . another charge q is kept at the centroid of triangle .force exerted on q is

Answer 1

Answer:

cos30

0

=

2x

a

x=

2

3

2a

x=

3

a

The net force on x axis is cancelled by the below two (−q) charges.

∴ Force on y axis adds up

F

y

=

(

3

a

)

2

k(q)(q)

+

(

3

a

)

2

k(q)(q)

×cos60

0

×2

F

y

=

a

2

3kq

2

+

a

2

3kq

2

F

y

=

a

2

6kq

2

F

y

=

4a

2

πε

0

6q

2

=

2a

2

πε

0

3q

2

I think this is the answer to your question