1. a)The potentiometer extends between positions 1.9 cm and 54.6 cm on the scale. The voltage read by the DMM is 1.000 V and the current read the by DMM is 42mA. What is the resistance per unit length of the nichrome wire? (Does the DMM affect the resistance measurement?)
b)The accuracy of the multimeter is cited as ±0.7% ±1 digit on the voltage range and ±1% ±1 digit for the 300 mA range. What are the uncertainties of the voltage and current readings and the resultant uncertainty of the resistance of the wire?
2. a)Show that I(t) = (I_0)(e^(-t/RC)) solves the differential equation for the current through a discharging capacitor if I_0 = V_0/R, and t=0 is the time the discharging starts. Hint: Use Ohm's law, Kirchoff's laws and the identity de^(at)/dt = ae^(at)
b) Find the charge and voltage on the capacitor as a function of time.