1. You also obtained a value for the capacitance of your unknown capacitor by using the...
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1. You also obtained a value for the capacitance of your unknown capacitor by using the LC meter. How does this value compare to the specified value? 2. In step 1 of the analysis portion of this lab, you obtained a value of the capacitance of the unknown capacitor using the LINEST technique. Report this value and the associated uncertainty in the form: Cunknown too, where you find oc is exactly the uncertainty of the slope. How does this value compare with the specified value of the capacitance? How does this value compare with the value of the capacitance obtained using the LC meter? 3. In step 2 of the analysis portion of this lab, you obtained a value of the resistance of the unknown resistor using the LINEST technique. Report this value and the associated uncertainty in the form: Runknown OR, where you find that oR is exactly equal to the uncertainty of the slope. 4. From your experience in completing this lab, how do you believe that the two decade boxes are the same? How are different? 5. (extra credit) For up to 5 extra credit points, use the data of the charging capacitor given in Table C2.3 and the fact that the battery potential, Vo, is equal to 5.0 V, to determine the time constant of the described circuit using a linear graphical analysis technique. Starting with Equation C2.3 and rearranging it into slope-intercept format, the expression becomes: trln (1-V (t)/Vo) (C2.6) where yt, z = In (1-V (t)/Vo), and the slope is then s= -T. 1. You also obtained a value for the capacitance of your unknown capacitor by using the LC meter. How does this value compare to the specified value? 2. In step 1 of the analysis portion of this lab, you obtained a value of the capacitance of the unknown capacitor using the LINEST technique. Report this value and the associated uncertainty in the form: Cunknown too, where you find oc is exactly the uncertainty of the slope. How does this value compare with the specified value of the capacitance? How does this value compare with the value of the capacitance obtained using the LC meter? 3. In step 2 of the analysis portion of this lab, you obtained a value of the resistance of the unknown resistor using the LINEST technique. Report this value and the associated uncertainty in the form: Runknown OR, where you find that oR is exactly equal to the uncertainty of the slope. 4. From your experience in completing this lab, how do you believe that the two decade boxes are the same? How are different? 5. (extra credit) For up to 5 extra credit points, use the data of the charging capacitor given in Table C2.3 and the fact that the battery potential, Vo, is equal to 5.0 V, to determine the time constant of the described circuit using a linear graphical analysis technique. Starting with Equation C2.3 and rearranging it into slope-intercept format, the expression becomes: trln (1-V (t)/Vo) (C2.6) where yt, z = In (1-V (t)/Vo), and the slope is then s= -T.
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