- #1
weezy
- 92
- 5
1. The problem statement,
A capacitor is there in free space consisting of 2 circular plates of radius ##r## separated by a distance ##z## which is a function of time. ##z(t) = z_0 + z_1 cos (\omega t)##; ##z_0(<<r)## and ##z_1(<z_0)## are constants. The separation ##z(t)## is varied in such a way that the potential difference ##V_0## between the plates remains constant.
EDIT 1: I think the way to go is to use ##\vec E(t) = -\nabla V(t)## where ##V(t) = \frac{Q}{C(t)}## but I'm not sure if ##Q## is also a function of time. Is it?
A capacitor is there in free space consisting of 2 circular plates of radius ##r## separated by a distance ##z## which is a function of time. ##z(t) = z_0 + z_1 cos (\omega t)##; ##z_0(<<r)## and ##z_1(<z_0)## are constants. The separation ##z(t)## is varied in such a way that the potential difference ##V_0## between the plates remains constant.
- Calculate the displacement current density & displacement current between the plates through a concentric of radius ##\frac{r}{2}##
- Calculate ##\vec H## between the plates at a distance of ##\frac{r}{2}## from the axis of the capacitor.
EDIT 1: I think the way to go is to use ##\vec E(t) = -\nabla V(t)## where ##V(t) = \frac{Q}{C(t)}## but I'm not sure if ##Q## is also a function of time. Is it?