Capacitor Problem: Charge, Electric Displacement, and Current Calculations

[TPDC130]

Homework Statement

Given an electric potential of Vo*sin(wt). This is applied to a parallel plate capacitor of area S, separation d and capacitance C. The questions are
a) What is charge Q on the plates?
b) Find the electric displacement current
c) Calculate the current in the wire.

Homework Equations

a) Q=CV
b) I=(epsilon)*d(phi)/dt
c) i=dQ/dt

The Attempt at a Solution

for part a, i got Q=CV=C*Vo*sin(wt)
for part b, i got I=(epsilon)*w*cos(wt)
for part c, i got i=C*w*cos(wt)


is this right, because i have a feeling that this is a little too easy of an answer.
why does the displacement current differ from the current in the wire?

 

[R A V E N]

Rewrite that with $$\LaTeX$$ code,I think it`s easy as it can be.

It`s pain to read like that.