The parallel plate capacitor is filled with a lossy dielectric material of relative permittivity E, and conductivity o. The separation between the plates is d and each plate is of area A,. The capacitor is connected to a time varying voltage source V₂ (t). a) Obtain an expression for I, the conduction current flowing to the plates on the wire, in terms of the given quantities. b) Obtain an expression for I, the displacement current inside the capacitor. c) Based on your expression for parts a) and b), give an equivalent-circuit representation for the capacitor. d) Evaluate the values of the circuit elements for A,:=2.cm² d:=0.5.cm Ex:=4 S 0:=2.5.- 2.5. V₂(t)=10.cos (3.77-10³.t). V

The parallel plate capacitor is filled with a lossy dielectric material of relative permittivity E, and conductivity o. The separation between the plates is d and each plate is of area A,. The capacitor is connected to a time varying voltage source V₂ (t). a) Obtain an expression for I, the conduction current flowing to the plates on the wire, in terms of the given quantities. b) Obtain an expression for I, the displacement current inside the capacitor. c) Based on your expression for parts a) and b), give an equivalent-circuit representation for the capacitor. d) Evaluate the values of the circuit elements for A,:=2.cm² d:=0.5.cm Ex:=4 S 0:=2.5.- 2.5. V₂(t)=10.cos (3.77-10³.t). V