physics help... finding the area under a current-time graph
@kropot72
its a graph of f(x)=1/x Just integrate it with limits x=0 to x=15
This is a graph of a discharge of a capacitor which is an exponential.\[I=I _{0}e ^{-\frac{ t }{ RC }}\] R is the resistance (given) C is the capacitance.(not given). RxC = the time for the current to drop .3679 of it's max value. The area under an exponential function of the form \[A _{0}e ^{-bx}\] is \[A _{0}/b\] which may be found in any Calculus text. You need RC and the max current which you can get from the graph.
The question asks you to use the figure to determine the initial charge stored in the capacitor. You can find the area below the graph as follows: Each division on the x-axis is 0.25 second. Each division on the y-axis is 0.025 mA. To find the charge in the first 0.25 s multiply the average current by the time: \[Q _{1}=I \times t=0.25\times 1.2\times 10^{-3}=0.3\ mC\] Repeat this for each 0.25 s period and sum the results.
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