- #1
boysenbeary
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- Homework Statement
- Obtain the time constant of the circuit.
- Fill-in the third column of the table with appropriate calculated values which result in a graph vs.
time that we expect to be a straight line.
- Make a plot of your computed third column numbers vs. time, and insert a best-fit line.
- Use the best-fit line to extract the time constant of the circuit.
- Relevant Equations
- $$I = {I_0} {e^{\frac{-t}{T}}}$$
$$T = \frac {L}{R}$$
$$V = R*I$$
$$R = 295.3 \Omega$$
$$I_0 = 0.01765 A$$
Edit: Picture of the Circuit (Simple RL circuit)
The value of L is not given.
Attempt to Solve for T by Rearranging Equation 1:
I rearranged the equation to solve for T, using Ohm's Law so solve for I = V/R at each time.
https://www.desmos.com/calculator/qlb2n6w4bg
This graph is non-linear, but the problem says to expect a linear graph?
Attempt to Use A Generic Ln(V) Graph:
https://www.desmos.com/calculator/ojvfgihyeq
This graph is linear but how do I know this is the right equation?
The point of this problem is to find the time constant T, then use that to solve for L
Would appreciate any guidance, thank you.
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