Sunday, March 11, 2012

HW7 Prob 1 Different times for zener discharge

Hey everyone, I noticed that I get two different time values for the time period where the zener is on depending on the method I use (for P=100W case):

Method 1 (lecture 20 slide 3 method):
L_l = 16u I_p = 1.43
t_z = (16u * 1.43)/(500-300-100) = 229nano seconds

Method 2 (state plane geometry, annotation from lecture 20 slide 1, theta_p is the angle between r1 and r2):
r1 = 1.45 r2 = .25 and r2 = r1 * cos(theta_p) => theta_p = arccos (r2/r1) = 1.4 radians
w_o = sqrt (L_l * C_ds) = 25M
w*t = theta => t_z = theta_p/w_o = 1.4/25M = 59nano seconds

Why do these not match up? I used state-plane geometry to get all the other times for my graphs, but now I am doubting these values. What am I missing?

3 comments:

Luke T. said...

Hey Charlie,

So I was thinking about it, and my reasoning they are different is because the radius is not constant, due to the ringing decaying. Since we don't know the rate of decay, we also don't know how much the radius has changed at that point. I used the values from your Method 1. They worked better for me.

Khoa said...
This comment has been removed by the author.
Charlie said...

Hey Luke, you make an interesting point. That makes sense, since the zener is now on, the C_ds is cut out and w_o isn't really valid any more which throws the whole theta = w*t off. I'll have to confirm with the professor.

Thanks for getting back to me!