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I don’t know how to solve the following problem: Around metal sphere, of radius a=3 cm , is uniform dielectric of thickness d=6 cm , relative permitivitty Ɛ r =3 and dielectric strength E s =100kV/cm . Dielectric strength of vacuum is E sv =30kV/cm . Calculate surface charge density of inner and outer charge of a sphere and dielectric, if potential of a sphere is V=375 V . Calculate maximum potential of a sphere, without corona effect. Results: σ=198,9nC/m 2 σ s1 =-132,6nC/m 2 σ s2 =14,74nC/m 2 V max =450kV Could someone help? Thanks for replies.

I don’t know how to solve the following problem:
Around metal sphere, of radius a=3 cm, is uniform dielectric of thickness d=6 cm, relative permitivitty Ɛr=3 and dielectric strength Es=100kV/cm. Dielectric strength of vacuum is Esv=30kV/cm.
  1. Calculate surface charge density of inner and outer charge of a sphere and dielectric, if potential of a sphere is V=375 V.
  2. Calculate maximum potential of a sphere, without corona effect.
Results:
σ=198,9nC/m2
σs1=-132,6nC/m2
σs2=14,74nC/m2
Vmax=450kV
 
Could someone help?
Thanks for replies.

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