Equal charges q are placed at the vertices A and B of an equilateral triangle ABC of side a. The magnitude of electric field at the point C is …………….

Options

A. `(Kq)/(a^(2))`
B. `(sqrt(3)Kq)/(a^(2))`
C. `(sqrt(2)Kq)/(a^(2))`
D. `(q)/(2piepsilon_(0)a^(2))`

Answer

B

Explanation

Use equation, `E=sqrt(E_(A)^(2)+E_(B)^(2)+2E_(A)E_(B)cos60)`,
`therefore E=sqrt(((Kq)/(a^(2)))^(2)+((Kq)/(a^(2)))^(2)+2(Kq)/(a^(2))xx(Kq)/(a^(2))xx(1)/(2))=sqrt(3Kq)/(a^(2))`