Day 16 Lab 04/28/14

RC Circuits:

Now with the prior knowledge of the resistors in the circuit and how they interact in the circuit. And now with the introduction of capacitors in the circuit we can see the way in the loop  how each of the variables are changed while in the circuit. But now with the introduction of the capacitors in the system and know has to use the energy part of the capacitors because when placed in the circuit it stores up energy and then dissipates causing some energy to be moved onto the circuit causing different values to other components of the circuit.

This is the demo set up which shows the capacitor in the circuit as a result cause the light to be bright  at first but as time progressed the light dimmed down saying the current went to zero. The capacitor stores up energy so when it was removed from the power supply it was able to use the stored up energy to light the bulb.

The same experiment as the image prior but this time has 2 capacitors which made the time for the bulb to dim to be longer because it has places to store up energy.

This a schematic of the circuit being tested on by the demonstration and placing the resistors in parallel and then in series circuits with energy source.

The lab set up of using the capacitor to be connected with a voltage supply causing the capacitor to charge up and using logger pro to see the affects of the charging and the discharging of it. With the graph we can see the distinction between the time amount needed to discharge and charge.

The graphs show the relationship of the potential of the charging and discharging verses the time it takes to both and we see the discharging of the capacitor in red color and charging in the blue which as a result we can see that they are inverse from each other the value of C for the more accurate charging which is a representation of Toa=1/RC in the equation V=Ve^(-t/RC) and q=CE(1-e^-t/RC). The graph is a representation on why these equations are used because the charge can be determined by using the variables we had like time and capacitors can see which is more accurate to use.

A schematic of the experiment of the charging and discharging of a capacitor and can be used to calculate a result to verify our value that we got using the graph. We also used a voltmeter to determine the voltage that was stored up into the capacitor and then discharged.

Using the equation we received from the graph and determined the physical meaning of each part of the equation using the known values to plug into the equation we know the find the values we wanted. The values we received was close to what we calculated and were off by a small percentage in error, and we that the possibilities of error was the misreading of the voltage of the capacitor or a malfunctioning of the data collecting but since

This is an example worked out during class using the known knowledge we obtained from the new equations proven by the lab we can find the values of the charge and the time it takes. The calculations we need were found with the relationship between the voltage and the capacitance.