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

Answer:

The approximate charge in the cloud is 11 C

(b) 11 C

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;

$E = \frac{F}{q} = \frac{kq^2}{r^2}*\frac{1}{q} = \frac{kq}{r^2} \\\\q = \frac{Er^2}{k}$

where;

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

$q = \frac{Er^2}{k} \\\\q = \frac{(1000)(10000)^2}{(8.99*10^9)} \\\\q = 11.12 \ C$

q ≅ 11 C

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

Correct option is "B"