a What is the voltage of the battery b Make a plot of the da

a) What is the voltage of the battery? b) Make a plot of the data and fit it with an exponential trendline. From the trendline, determine the time constant. c) From part b), find the current through the resistor at each time given in the table, and d) rearrange the theoretical equation for the voltage across the inductor into a linear equation. Fit the equation with a linear trendline, and determine the time constant with the associated uncertainty. How do the two time constants compare? If they do not agree exactly, does the first time constant fall within the uncertainty of the second?

Solution

We now want to observe how voltages applied to the input of the oscilloscope result in a deflection of the trace vertically. The connectors on the top of your breadboard are called banana connectors. The connectors labeled (16) in the manual are called BNC connectors. Find two bananato-BNC adapters and attach one to channel one (CH 1) of the scope and the other to channel two (CH 2). Now connect a wire from the black connector on the breadboard to the black connector of channel one’s input connector on the oscilloscope. Connect a second wire from the red connector on the breadboard to the red post of channel one’s input connector on the oscilloscope. When you connect the second wire, the dot on the oscilloscope should deflect to the right. Try connecting and disconnecting the wire relatively rapidly to send a “Morse code” signal. Use the amount of deflection and the VOLTS/DIV setting to determine the EMF (voltage) from the battery. Is your result consistent with what you expect for two D cell batteries? to produce a rapidly-varying signal for the oscilloscope. Use a BNC to banana adapter on the signal generator, and connect the black terminal to the ground (also black) connection on the scope and its red terminal to the CH1 input. Other settings of the function generator are: VOLTS OUT — push in SWEEP — out position RANGE(Hz) — push in 1k button AMPLITUDE — fully clockwise FUNCTION — push in sinewave button FREQUENCY — set to 1.0 DC OFFSET — push in Turn on the generator’s power switch (the red button at the left of the front panel). Set the oscilloscope’s SEC/DIV control to 1 msec. You will probably see a sinusoidal waveform on the scope. If not, adjust INTENSITY, FOCUS and POSITION controls until you do.