Question

A charge of −3.77 µC is located at the origin, and a charge of −4.92 µC is located along the y axis at 2.86176 m. At what point along the y-axis is the electric field zero? The value of the Coulomb constant is 8.99 × 109 N · m2 /C 2 .

Answer 1

1.336 m

Step-by-step explanation:

q = - 3.77 micro C at y = 0 m

Q = - 4.92 micro C at y = 2.86176 m

Let the electric field is zero at P which is at a distance y from origin.

Electric field at P due to q is equal to the electric field at P due to Q.

`E_(q)=E_(Q)`

`(kq)/(OP^(2))=(kQ)/(AP^(2))`

`(3.77)/(y^(2))=(4.92)/(\left ( 2.86176-y \right )^(2))`

`(\left ( 2.86176-y \right ))/(y)}=1.142`

2.86176 - y = 1.142 y

2.142 y = 2.86176

y = 1.336 m

Thus, the electric field is zero at y = 1.336 m.