electrical4u.com logo Home MCQ Engineering Calculators Videos Basic Electrical Circuit Theories Electrical Laws Materials Batteries Illumination Generation Transmission Distribution Switchgear Protection Measurement Control System Utilities Safety Transformer Motor Generator Electrical Drives Electronics Devices Power Electronics Digital Electronics Biomedical Instrumentation

Spherical Capacitor

Published on 24/2/2012 & updated on 15/8/2018
Let us consider a charged metallic sphere of radius r, placed in the air or any other dielectric medium without touching the earth. We may also consider that, the sphere is charged with Q coulomb, and the relative permittivity of air or medium in which the sphere is placed is εr.
Now as per definition, the surface potential of this sphere will be Since, as per definition, capacitance C = Q/V So, it is proved that the capacitance of a conducting sphere is directly proportional to it’s radium and also to the permittivity of the medium in which the sphere is placed.

Now, let us consider two concentric spheres of radius r1 and r2 respectively. The inner sphere is connected with positive terminal of a battery and outer sphere is connected with negative terminal of the battery. For that there will be Q charge is accumulated in the system. Now, according to the definition, the surface potential of inner sphere is And surface potential of other sphere is

Related pages
Spherical Capacitor

Now, the potential difference between there are two spheres is, Again as per definition, This is nothing but the capacitance of a hollow spherical capacitor whose thickness is




Please Rate this Article
0
⚑ 0 total
5
4
3
2
1


New Articles
More Articles on Basic Electrical
MaterialElectricityFundamentalsQuantum TheoryBasic LawsElectromagnetismCurrent VoltageResistanceResistorInductorsCapacitorElectrostaticPhasor DiagramElectron EmissionMiscellaneousGuest Post
Articles Categories
Write for Us
Home
Basic Electrical
Electric Transformer
Electric Generator
Electric Motor
Electrical MCQ
Engineering Calculators
Video Lectures
Electrical Generation
Electric Transmission
Switchgear
Electric Protection
Electrical Measurement
Electronics Devices
Power Electronics
Digital Electronics