Chapter 19.5, Problem 1aTH

The Surface area of the face of each plate is $A_I$ .

Write an expression for the capacitance in terms of $A_I$ and d.

To determine

To write: An expression for the capacitance in terms of $A_1$ and $d$ .

Answer to Problem 1aTH

  $C=\frac{{\epsilon }_o{A}_1}{d}$

Explanation of Solution

Given:

Surface area of the face of each plate $=A_1$

Separation between the plates $=d$

Potential difference $=V_o$

Calculation:

The expression for the capacitance $\left(C\right)$ of the capacitor given in the figure can be written as follow:

  $C=\frac{{\epsilon }_o{A}_1}{d}$

Where:

  ${\epsilon }_o=$ Permittivity of free space.

  $A_l=$ Surface area of each plate.

  $d=$ Separation between the plates.

Conclusion:

The expression for the capacitance $\left(C\right)$ of the capacitor given in the figure: $C=\frac{{\epsilon }_o{A}_1}{d}$