The force F is directly proportional to the product of charges q and Q and inversely proportional to the square of the distance

Question

Tamiku [17]

3 years ago

5

The force F is directly proportional to the product of charges q and Q and inversely proportional to the square of the distance

R between the two charges F is 40newton R is 16m q is 20c Q is

Mathematics

1 answer:

Ray Of Light [21] · Answer 1 · 2022-08-06T18:47:03+03:00

The charge Q is 512 c.

Step-by-step explanation:

Step 1:

The equation is $F=\frac{(q)(Q)}{R^{2}}$ , where q and Q are the charges, R is the distance between the charges, and F is the force between the charges.

From the question, we have;

F = 40 Newton, R = 16 m and q = 20 C.

We need to calculate Q.

Step 2:

By substituting the values of F, R, and q in the equation, we get

$40 =\frac{(20)(Q)}{16^{2}}$ $=\frac{(20)(Q)}{256}$ .

We cross multiply to solve Q.

$Q =\frac{(40)(256)}{20} = 2(256) = 512.$

So Q = 512 C.