Chapter 9, Problem 1TFQ

The area of the plates of a capacitor is proportional to the capacitance.

To determine

Whether the statement is true or false.

Answer to Problem 1TFQ

True

Explanation of Solution

Given:

The given statement is

Capacitance value associated with any capacitor is proportional to the area of the plates of the capacitor.

Calculation:

A capacitor is a gadget that can store charge. It is a gadget that can store charge which neither a resistor nor an inductor can do. It restricts any difference in voltage in the circuit where it is associated and it obstructs the section of direct current through it. Basically, a capacitor comprises of two leading plates isolated by a protecting medium called a dielectric.

The value of capacitance can be calculated by the expression

  $C=\frac{A{\epsilon }_o{\epsilon }_r}{d}$

Where,

C = Capacitance

A = Area

d = distance between the plates

${\epsilon }_o$ = permittivity

It is clear from the above expression that the capacitance is directly proportional to the area of the plates.

Hence, the given statement is true.