Question

2. After you have collected all of your data, open the experiment file called Dependence of C (LOSA 1-2). Enter your data for capacitance and either sep aration or area from Table 8-1 into the table in the software. Graph capacitance vs. either separation or area. Print the graph and affix it to these pages, 3. If your graph looks like a straight line, use the fit routine in the software to find its equation. If not, you should try other functional relationships until you find the best fit. Print and affix any other graphs. Question 1-6: What mathematical relationship best describes the dependence of capacitance on plate separation or plate area. How do the results compare with your prediction based on physical reasoning? Question 1-7: What difficulties did you encounter in making accurate measure ments? The actual mathematical expression for the capacitance of a parallel-plate capac- itor of plate area A and plate separation d (Figure 8-3) is derived in your textbook. The result when there is vacuum (or just a low-density gas) between the plates is A/ C- = 8.85 x 10-12 C/Nm. where Question 1-8: Do your predictions and/or observations on the variation of capacitance with plate area and separation agree qualitatively with this result? Explain. Question 1-9: Use one set of your actual areas and separations that corresponds to measurements you recorded in Table 8-1 to calculate a value of C using this equation. Show your calculations. How does the calculated value of C compare with your measured value? What might be wrong with the theoretical model for a capacitor in describing the behavior of your capacitor in this activity? Question 1-10: In theory, what length and width in miles would big square foil sheets separated by a distance of 1 mm with wax paper have to be on each side for you to construct a 1-F capacitor? Show your calculations. Assume that wax paper has the same electrical properties as air. (Hint: Miles are not meters! In fact, 1000 m - 1 km = 0.62 mile.) L = miles REALTIME PHYSICS: ELECTRICITY AND MAGNETISM

Answer 1

The given question is experimental so student need to collect data by himself the required formalism for calculation is

Hd Qus -6)Consider two metallic plates of equal areo A. seperated by a distance d, The top plate worries charge to.h the bottom plate carries a charge - Q. + + + + + + From Gaussian Law we can say that 118 7 ) field exist only duside the plates to (&-d) Giren ley 17 se old The potential diff. lose the plates - ve se.de V-5d to capacitance » (=Q . Where daldrea of flaten. A = Area of blates in square meters. de distance low blates in meters toe permittivity of free space Lo = 8.85 X109f/ma]