Answer:
Charge on the sphere will be equal to [tex]q=1.81\times 10^{-8}C[/tex]
Explanation:
We have given radius of the sphere a = 13 cm
And electric filed 21 cm from the center is [tex]3.7\times 10^3N/C[/tex]
So distance from the center r = 21 cm
We have to find the charge on the sphere
As [tex]r> a[/tex]
So according to Gauss law electric field is equal to
[tex]E=\frac{1}{4\pi \epsilon _0}\frac{q}{r^2}[/tex]
So [tex]3.7\times 10^3=9\times 10^9\times \frac{q}{0.21^2}[/tex]
[tex]q=1.81\times 10^{-8}C[/tex]
So charge on the sphere will be equal to [tex]q=1.81\times 10^{-8}C[/tex]
