Question

Find the magnitude of the force between two charges of 1.0 c each which are 1.0 meter apart?

Answer 1

use the formula U=1/4π∈

                             =9×10∧9 Nm²/c²

Answer 2

Given,

The magnitude of two charges = 1 C each

Distance between the two separated charges = 1 meter

To find,

The magnitude of the force between the two charges.

Solution,

We can simply solve this numerical problem by using the following process:

Mathematically,

The magnitude of the force between two charges Q and q, separated by a distance of R units, respectively, is equal to;

|F| = k × Qq/R^2,

where k = constant of proportionality

= 1/(4π×epsilon)

= 8.988 × 10^9 Nm^2/C^2

Now, according to the question;

The magnitude of the force between the two given charges

= |F| = k × Qq/R^2

= (8.988 × 10^9 Nm^2/C^2) × (1C)^2/(1m)^2

= 8.988 × 10^9 N

=> |F| = 8.988 × 10^9 N

Hence, the magnitude of the force between the two given charges is equal to 8.988 × 10^9 N.