Chapter 21.1, Problem 13PP

To determine

To explain: Strength of electric field on charge q’ is independent of charge q’ .

Explanation of Solution

Introduction:

Electric field:

It is a three-dimensional space around a charge where it can exert force on other charge.

The electrostatic force on charge q’ due to charge q is given by the equation,

  $F=\frac{kqq\text{'}}{r^2}$

Here, $q$ and $q\text{'}$ are the two charge, $r$ is distance between the charges and $k$ is the constant.

Now the strength of electric field exerted on the charge q’ is given by,

  $\begin{array}{c}E=\frac{F}{q}\\ =\frac{\frac{kqq\text{'}}{r^2}}{q\text{'}}\\ =\frac{kq}{r^2}\end{array}$

Theabove equation of electric field strength is independent of charge q’ .

Conclusion:

Hence, the strength of electric field on charge q’ is independent of charge q’ .