Question

The electric field a distance of 10 km from a storm cloud is 1,000 N/C . What is the approximate charge in the cloud?a. 0.0011 Cb. 11 Cc. 110 Cd. 1,100 C

Answer 1

The approximate charge in the cloud is 11 C

(b) 11 C

Step-by-step explanation:

Given;

electric field strength, E = 1,000 N/C

separation distance, r = 10 km, = 10,000 m

Electric field strength is given by the following equations;

`E = (F)/(q) = (kq^2)/(r^2)*(1)/(q) = (kq)/(r^2) \\\\q = (Er^2)/(k)`

where;

k is coulomb's constant = 8.99 x 10⁹ Nm²/C²

`q = (Er^2)/(k) \\\\q = ((1000)(10000)^2)/((8.99*10^9)) \\\\q = 11.12 \ C`

q ≅ 11 C

Therefore, the approximate charge in the cloud is 11 C.

Correct option is "B"