Madeline Horn edited Once_we_had_taken_values__.tex  over 8 years ago

Commit id: c7bd61d4e7c9d775440641f67a1f1fc8c81ceb70

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Once we had taken values across the photo-diode from $0$ to $120$ mV in steps of $10$ mV, had our error in all the values, we were able to start calculating the current from both multi-meters. In order to find the current from the voltage across the photo-diode, we only had to use Ohm's Law (V = IR) because we knew the value of R, 10K ohms. Finding the current for Vsq was harder because we had to account for the change through the amplifiers and multiplier. The equation we used to find the filtered current was: $10 \textrm{ Vsq} V_{sq}  = \left(  2 \textrm{ e} \textrm{ idc } e i_{dc}  \Delta f (\textrm{G1} \textrm{ G2} \textrm{ Resistance})^2$, \right) \left( G_1 G_2 R \right)^{2} $,  where e is the charge of the electron that we are looking for, R is the resistance of $10K$ ohms, and G2 varied as stated above. We solved for $2 \textrm { idc}$ and plotted $2\textrm{ idc}$ versus the current found from the photo-diode. We found the slope of the data points because we wanted to find e. Our value was $1.64 \cdot  10^{-19}$ coulombs. Our measuremnt is less than $2.4 \%$ percent different from The discrepancy between our value and  the actual currently accepted standard  value of for  the charge of an electron. on the electron is less than $2.4 \%$.