Question

Two identical conducting spheres are placed with their centers 0.25 m apart. One is given a charge of +1.1 × 10−8 C and the other a charge of −2 × 10−8 C. Find the magnitude of the electric force exerted by one sphere on the other. The value of the Coulomb constant is

Answer 1

`3.168\cdot 10^(-5) N`

Step-by-step explanation:

We are given that

`q_1=1.1* 10^(-8) C`

`q_2=-2* 10^(-8) C`

`r=0.25 m`

We have to find the magnitude of the electric force exerted by one sphere on the other.

We know that coulomb's law of force

`F=(kq_1q_2)/(r^2)`

Where
`k=9* 10^9 Nm^2/C^2`

Using the formula

`F=(9* 10^9* 1.1* 10^(-8)* 2* 10^(-8))/((0.25)^2)`

`F=3.168\cdot 10^(-5) N`

Hence, the magnitude of electric force exerted by one sphere to other=
`3.168\cdot 10^(-5) N`