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Two 4.8 cm diameter metal disks are separated by a 0.19 mm thick piece of paper. (Dielectric constant for paper is called kpaper=3.7, its dielectric strength is 16×106 V/m .)
a) What is the capacitance?
b)What is the maximum potential difference between the disks?
The capacitance of a capacitor is based on its shape, geometry and size. Parallel plate capacitors are a configuration consisting of two conductor plates which are close to one another. The space between them is usually filled with dielectric material. A capacitor’s capacitance capacitor with a parallel plate is dependent on the size of the plate as well as its distance along with the dielectric coefficient of the fluid that lies between the plates.
Given
Diameter of disks = 4.8 cm
Radius of disks = 2.4 cm
Area of disks A = P r 2
= p (2.4 *10.-2 )
= 0.00180m ^2
Distance between plates 0.19mm
Dielectric constant of paper = 3.7
Strength of the electric field strength E = 16*106V/m
Capacity of the capcitor:
C = eo A k / d
= ( 8.85*10 -12) (0.0018) ( 3.7) / 0.19*10-3 m
=0.3102nF
b) Maximum potential difference between disks
V = E / D
= (16*106V /m), / 0.19*103 m
= 8.421*10 V
8.421*107 kV