1) Electric potential distribution in a medium with relative electrical permittivity 3 is given as V(x,y) -3xy+ Zyz +0.5z2+2 Volts. a) Determine the electric flux density vector in the medium. b) Determine the divergence of the electric flux

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1) Electric potential distribution in a medium with relative electrical permittivity 3 is given as
V(x.y) = -3xy+ 2yz + 0.5z2 +2 Volts.
a) Determine the electric flux density vector in the medium.
b) Determine the divergence of the electric flux
2) Consider a dielectric sphere of radius (a=2cm) in free space. Total charge on the sphere is-
16 nano-Coulomb. The volume charge density inside the sphere is a function of radial
distance (R) and given as p,= -2R C/m
a) Determine the electric field intensity expression for outside region of the sphere.
b) Compute the potential at the surface of the sphere.
3) Two identical charges are located on the x-axis at x 3 and x 7. At what point in space is
the net electric field zero? Explain your reasoning?
Transcribed Image Text:1) Electric potential distribution in a medium with relative electrical permittivity 3 is given as V(x.y) = -3xy+ 2yz + 0.5z2 +2 Volts. a) Determine the electric flux density vector in the medium. b) Determine the divergence of the electric flux 2) Consider a dielectric sphere of radius (a=2cm) in free space. Total charge on the sphere is- 16 nano-Coulomb. The volume charge density inside the sphere is a function of radial distance (R) and given as p,= -2R C/m a) Determine the electric field intensity expression for outside region of the sphere. b) Compute the potential at the surface of the sphere. 3) Two identical charges are located on the x-axis at x 3 and x 7. At what point in space is the net electric field zero? Explain your reasoning?
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