The value of the electric field at a distance of 78 m from a point charge is 22.1 N/C and is directed radially in toward the charge. What is the charge? The Coulomb constant is 8.98755 × 109 N · m2 /C 2

Respuesta :

Answer:

[tex]14.96\times 10^{-6}C[/tex]

Explanation:

We are given that

Electric field=E=[tex]22.1 N/C[/tex]

Distance , r=78 m

Coulomb constant=k=[tex]8.98755\times 10^9Nm^2/C^2[/tex]

We have to find the charge.

We know that electric field

[tex]E=\frac{Kq}{r^2}[/tex]

Substitute the values

[tex]22.1=\frac{8.98755\times 10^9\times q}{(78)^2}[/tex]

[tex]q=\frac{22.1\times (78)^2}{8.98755\times 10^9}[/tex]

[tex]q=14.96\times 10^{-6}C[/tex]

Hence,the charge=[tex]14.96\times 10^{-6}C[/tex]