- #1
RoboNerd
- 410
- 11
Homework Statement
I posted the entire question, but I am only conserned with part B.
There was a circuit drawing on there but it is irrelevant for this part of the problem. One can solve it without knowing the circuit drawing.
Homework Equations
The application for Kirchoff's Voltage Law results in the equation
Voltage(time in secs) = VoltageMax * (1 - e^(-t / RC) )
The circuit in question is an RC circuit where I have a single capacitor and resistor in a loop.
The Attempt at a Solution
[/B]
I have been struggling over how to figure out how to linearize the data. I have simplified the equation to the following form:
[voltageAtTimeT / maxvoltage = (1 - e^(-t /RC) )
And then I wanted to take the natural log to take the -t/RC out of the exponent and linearize it.
However, I run into two problems: I do not know how to find the MaxVoltage as of now and the right hand side would become ln[ 1 - e^(-t / RC) ]. I can not simplify this right-hand side further as there is no law of logarithms that says that ln( a + b) can be simplified into a simpler form.
Thus, I am stuck, and I would appreciated any guidance in how to solve this problem.
Thanks in advance.