149k views
3 votes
For example, mica has a dielectric constant of 5.0 and paraffin paper has a dielectric constant of 2.5. This means that mica has twice the capacitance of paraffin paper (for an equal area and thickness of dielectric material).

A) True
B) False

1 Answer

2 votes

Final answer:

The statement is true; a dielectric material with a higher dielectric constant will have a higher capacitance, assuming all other factors are equal. A parallel plate capacitor with mica as a dielectric will have twice the capacitance of one with paraffin paper if the area and thickness are the same.

Step-by-step explanation:

The statement that mica has twice the capacitance of paraffin paper (for an equal area and thickness of dielectric material) because it has a dielectric constant of 5.0 compared to 2.5 for paraffin paper is True. The capacitance of a parallel plate capacitor with a dielectric is given by the formula C = KEO/A, where K is the dielectric constant of the material, E is the permittivity of free space, and A is the area of the plates facing each other over the distance d. A higher dielectric constant means a material can store more electric charge, leading to greater capacitance. This is due to the fact that the dielectric constant is a dimensionless multiplier that scales the capacity to store an electric charge compared to a vacuum, which has a dielectric constant of 1. Thus, if all other factors are equal, a material with a dielectric constant of 5.0 would indeed have twice the capacitance as a material with a dielectric constant of 2.5.

User Chuckles
by
7.8k points