Consider cylindrical coaxial structure having perfect conductors. Radius of inner and outer structures are given as r = 1 cm and r2 = 2 cm, respectively. Area between the conductors is filled with a dielectric material e = 4€0, and it is assumed that it does not contains any free charge. Voltage on the inner conductor is 50V and outer conductor is grounded (OV). a) Find the expression of electric potential in dielectric media by using Laplace's equation. b) Find the electric field from the electric potential. After that, use boundary condition to determine charge density Ps on the surface of the inner conductor.

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4. Consider cylindrical coaxial structure having perfect conductors. Radius of inner and outer
structures are given as r; = 1 cm and r2 = 2 cm, respectively. Area between the conductors
is filled with a dielectric material e = 4€, and it is assumed that it does not contains any free
charge. Voltage on the inner conductor is 50V and outer conductor is grounded (0V).
a) Find the expression of electric potential in dielectric media by using Laplace's
equation.
b) Find the electric field from the electric potential. After that, use boundary
condition to determine charge density Ps on the surface of the inner conductor.
Transcribed Image Text:4. Consider cylindrical coaxial structure having perfect conductors. Radius of inner and outer structures are given as r; = 1 cm and r2 = 2 cm, respectively. Area between the conductors is filled with a dielectric material e = 4€, and it is assumed that it does not contains any free charge. Voltage on the inner conductor is 50V and outer conductor is grounded (0V). a) Find the expression of electric potential in dielectric media by using Laplace's equation. b) Find the electric field from the electric potential. After that, use boundary condition to determine charge density Ps on the surface of the inner conductor.
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