Chapter 32, Problem 29A

How will the forces between two charged particles compare when one particle has ten times as much charge as the other? Defend your answer.

To determine

To compare: The force between two charged particles, when one particle has ten times as much charge as the other.

Answer to Problem 29A

The force is 10 times stronger then, the force between two equal charges

Explanation of Solution

Given:

Two charged particles, one particle has charge ten times to other .

Formula used:

The force is given as,

  $F=k\frac{q_1{q}_2}{r^2}$

Here, q₁and q₂are charges of two particles.

r is the distance between the two.

Calculation:

Let q₁= q and q₂= 10q

Then the force $F=k\frac{q_1\times 10q_{}}{r^2}=k10\frac{q^2}{r^2}$

Conclusion:

The force is 10 times stronger then, the force between two equal charges .