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

Answer:

$3.168\cdot 10^{-5} N$

Explanation:

We are given that

$q_1=1.1\times 10^{-8} C$

$q_2=-2\times 10^{-8} C$

$r=0.25 m$

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

$F=\frac{kq_1q_2}{r^2}$

Where $k=9\times 10^9 Nm^2/C^2$

Using the formula

$F=\frac{9\times 10^9\times 1.1\times 10^{-8}\times 2\times 10^{-8}}{(0.25)^2}$

$F=3.168\cdot 10^{-5} N$

Hence, the magnitude of electric force exerted by one sphere to other=$3.168\cdot 10^{-5} N$