Question

The capacitance is directly proportional to the surface areas of the plates, and is inversely proportional to the separation between the plates.

• A. Converse of this statement is true
• B. Converse of this statement is false
• C. This statement is true
• D. It does not depends on area of plate

Answer 1

Answer: (B), (C)

The correct options are
B Converse of this statement is false
C This statement is true

The capacitance of an air filled parallel plate capacitor is given by:

$C=\frac{{\epsilon }_{0}A}{d}$ ..........................eq1

where $A=$ area of each plate,

$d=$ distance between plates

from eq1 ,

$C\propto A$

and $C\propto 1/d$ ,

Hence, given statement is true and converse of it, is false.