Physics, asked by joyeetagorai, 6 months ago

Three charges +q each are placed at three vertices of an equilateral triangle
of side length a each. Then net electrostatic potential at the centroid of the
triangle is

(a)0
(b)3 sqrt{3} q/4πε0
(c)6q/4πε0a
(d)3q/2πε0a

Answers

Answered by greninjaedits61534
0

Answer:

3 point charges of +Q are placed on an equilateral triangle. They will repel each other and go away from each other and go away from each other. So, the charge which we want to keep in the center should be negatively charged.

Let us consider the charge at center be −q. Let the length of side of equilateral triangle is a. Consider an equilateral triangle ABC, with centroid at D.

F  

1

​  

 

​  

=  

a  

2

 

kQ  

2

 

​  

 along  

AB

 

F  

2

​  

 

​  

=  

a  

2

 

kQ  

2

 

​  

 along  

CB

 

F  

3

​  

 

​  

=  

a  

2

 

3kQq

​  

 along  

BD

 

in horizontal direction, for equilibrium.

F  

1

​  

cos60  

+F  

2

​  

=F  

3

​  

cos30  

 

⇒  

a  

2

 

kQ  

2

 

​  

×  

2

1

​  

+  

a  

2

 

kQ  

2

 

​  

=  

a  

2

 

kQq

​  

×  

2

3

​  

 

​  

 

⇒  

2a  

2

 

3kQ  

2

 

​  

=  

a  

2

2

3kQq  

3

​  

 

​  

 

⇒q=  

3

​  

 

Q

​  

 

Since q is negatively charged,  

So, q=  

3

​  

 

−Q

Explanation:

Similar questions