Two tiny beads are 25 cm apart with no other charges or fields present. Bead A carries 10 µC of charge and bead B carries 1 µC. Which one of the following statements is true about the magnitudes of the electric forces on these beads

Verified Answer :

AL2006

The electric forces on both beads are equal.

Answer:

The charges repel with different forces

Explanation:

The charges repel with different magnitudes. This can be seen from the equation:

\(F = k\frac{q_{1}q_{2} }{r^{2} }\)

where q₁ and q₂ are the charges of the particles

k is Coulomb constant = 8.99 × 10⁹ N\(m^{2} C^{-2}\)

r distance between the charges

So the force will be \(F = 8.99 * 10^{9} \frac{10^{-6}*1^{-6} }{(0.25^{2} )}\)

                                    = 143 840 N

This is a large force, which shows that the forces repel each other.