Chapter 17, Problem 7P

To determine

The distance between two parallel plates.

Answer to Problem 7P

The distance between the plates is $30\text{mm}$ .

Explanation of Solution

Given info:

The voltage between the plates is $\Delta V=45\text{V}$ .

The electric field between the plates is $E=1500\text{V/m}$ .

Formula used:

The applied electric field is,

  $E=\frac{\Delta V}{d}$

Calculation:

Substituting the given values, we get

  $\begin{array}{c}1500\text{V/m}=\frac{45\text{V}}{d}\\ d=\frac{45\text{V}}{1500\text{V/m}}\\ =0.03\text{m}\times \left(\frac{1000\text{mm}}{1\text{m}}\right)\\ =30\text{mm}\end{array}$

Conclusion:

Thus, the distance between the plates is $30\text{mm}$ .