Lab 2 - Capacitance

# Fit a line to each plot and determine its slope what

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Fit a line to each plot and determine it’s slope. What physical quantity does this slope correspond to and is its value what you expect? Refer to the “2CL Curve Fitting in MATLAB” guide for instructions on fitting. Since you’ll be doing a linear fit, use the example function(s): modelfun 1 = @( p, x ) p (1) . * x ; modelfun 2 = @( p, x ) p (1) . * x + p (2); Which would be more appropriate? What if there is some systematic error? Try both and discuss the results. 8.3 Charge and Energy Now that you’ve verified the capacitance of the components by measuring the time constant let’s consider some other aspects of the capacitor. Determine how much charge is being stored in the capacitor when fully charged and the current in the circuit ( I ( t )). Consider the following: 8

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How is the voltage across the capacitor and it’s capacitance related to the charge it stores (assuming a constant capacitance)? From your fit of V ( t ) how would you determine Q ( t ) ? How is Q ( t ) related to I ( t ) ? Once fully charged how much energy is stored in the capacitor? 9
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