A parallel-plate capacitor with air dielectric has a capacitance of 12 pF...?
What is the capacitance of a capacitor that has the following:
a) The same separation and dielectric but five times the plate area?
b) The same dielectric but four times the area and one-fifth the plate spacing?
c) A dry paper dielectric, six times the plate area and twice the plate spacing? (Dry paper has a dielectric constant 2.2 times larger than air.)
- billrussell42Lv 77 years agoFavorite Answer
a) times 5
b) x 4 x 5
c) x 2.2 x 6 x (1/2)
Parallel plate cap
C = ε₀εᵣ(A/d) in Farads
ε₀ is vacuum permittivity, 8.854e-12 F/m
εᵣ is dielectric constant or relative permittivity
of the material (vacuum = 1)
A and d are area of plate in m² and separation in m
- Randy PLv 77 years ago
Capacitance is proportional to area, proportional to dielectric constant, and inversely proportional to separation.
- RickLv 77 years ago
C=eo er Area/distance. Use this equation to answer all of your questions.