Question

Two tiny beads are 25 cm apart with no other charged objects or fields present. Bead A has a net charge of magnitude 10 nC and bead B has a net charge of magnitude 1 nC. Which one of the following statements is true about the magnitudes of the electric forces on these beads?A. The force on A is 100 times the force on B.B. The force on B is 10 times the force on A.C. The force on B is 100 times the force on A.D. The force on A is 10 times the force on B.E. The force on A is exactly equal to the force on B.

Answer 1

Answer:

E. The force on A is exactly equal to the force on B.

Explanation:

The force between two charges is given by

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

where

$q_1$ = Charge on particle 1

$q_2$ = Charge on particle 2

r = Distance between the charges

k = Coulomb constant = $8.99\times 10^{9}\ Nm^2/C^2$

$F=\dfrac{8.99\times 10^9\times 10\times 10^{-9}\times 1\times 10^{-9}}{(25\times 10^{-2})^2}\\\Rightarrow F=0.0000014384\ N$

This force will be exerted on both the charges equally.

So, The force on A is exactly equal to the force on B