- #1
rjspurling
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Homework Statement
Hi, I need to produce a linearized equation of the following,
I = D. V. exp(-V/B)
eq(1)
I is the current
V is the voltage
D is a constant
B is a constant
Data was collected in an experiment designed to investigate the characteristics of a tunnel diode. I didn't do the experiment myself, I just have to find the linearized form of eq(1) and determine the constants D and B. I have a set of I values and a set of V values given to me to allow me to calculate the constants.
Homework Equations
I = D. V. exp(-V/B)
eq(1)
The Attempt at a Solution
The problem I am having is the V term before the exponential term.
Taking logs of both sides,
Ln(I) = Ln(D) + Ln(V) - V/B
eq(2)
I'm going to use excel to determine B and D. I'm just not sure how to graph it. If there was no V term before the exponential term then it would be,
Ln(I) = Ln(D) - V/B
eq(3)
and i could simply graph Ln(I) vs V, and 1/B would be my gradient and Ln(D) would be my y-intercept. I can't do this for eq(2) though because of the Ln(V) term.
If I graphed Ln(I) vs Ln(v) - V, i can't determine B. I just can't seem to find a way to do it. I'm sure there's a simply way. I just need to work out how to bring the V's together.
Any help would be greatly appreciated.