The electric field strength 3.5 cm from the surface of a 10-cm-diameter metal ball is 70,000 N/C.What is the charge (in nC) on the ball?

Respuesta :

To develop this problem, we will apply the concepts related to the Indian electric field from Coulomb's law. According to the values given we have to the electric field is

[tex]E = 70000N/C[/tex]

Distance from the center of the ball to the point of consideration is

[tex]r = \frac{10}{2}+3.5[/tex]

[tex]r = 8.5cm[/tex]

Now the electric field strength is

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

Here,

k = Coulomb's Constant

q = Charge

r = Distance

Rearrange to find the charge,

[tex]q = \frac{Er^2}{k}[/tex]

Replacing,

[tex]q = \frac{(70000)(8.5*10^{-2})^2}{9*10^9}[/tex]

[tex]q = 5.6194*10^{-8}[/tex]

[tex]q = 56.194nC[/tex]

Therefore the charge on the ball is 56.194nC