Question

An air capacitor has the same dimensions as that of a mica capacitor if the capacitance of mica capacitor is 6 times that of air capacitor then relative permittivity of mica is

Answer 1

Answer:

the capicitor of mica capicitor is 6 times that of air capacitor then relative permittivity of mica is an air capacitor has the same dimensions as that of a mica.

Answer 2

Given:

An air capacitor has the same dimensions as a mica capacitor.

the capacitance of the mica capacitor is 6 times that of the air capacitor.

To find:

The relative permittivity of mica

Solution:

It is given that the dimensions of both the capacitors are the same. Therefore the area and diameter of both the capacitors will be the same.

Now,

Let the permittivity of the air capacitor be ∈a

The capacitance of air capacitor = ∈aA/d = C1

Let the permittivity of the mica capacitor be ∈m

the capacitance of the mica capacitor = ∈mA/d = C2

It is given that the capacitance of the mica capacitor is 6 times the capacitance of the air capacitor

C1 = 6C2

∈mA/d = 6∈aA/d

therefore

∈m/ ∈a = 6

Therefore the relative permittivity of mica is 6.