Day 4

*Demonstration of PV=nRT

*relating PV=nrt to the work energy theorem

*demonstration of an adiabetic process

* today we learned how work and energy relate to pressure and temperature and what happens in adiabatic processes

Day 25

alternating current introduction. Equations read v= Vmax sin(2πf*t)

Showing that V still equals IR. But these values are instantaneous. to get meaningful values that one can use one needs to use RMS values.

equations for instantaneous values of V and I.

calculating true peak voltage that comes out of wall sockets.

derivation of Vrms in AC currents. Average voltage of  sin wave is always zero. So the RMS value allows us to get a meaningful value that we can use by first making all values positive by squaring them taking the average (which is 1/2) and taking the square root of that so that we are still using the origional scale.

equation for power

set up. only 100 Ohm  resistor is hooked up and voltage/current is being monitored.

larger view

readings. Current vs time / Voltage vs time

new graph is voltage vs current

 Theoretical vaues for RMS are obtained by using Vmax and Imax from the graphs. Experimental is gained by using the multi-meter. It is understood that both values are experimental. It seemed appropriate at the time since one uses equations and the other is more direct. Also because we are comparing one with the other.

These graphs are adjusted. The voltage probes were connected the opposite, and so all the values were negative. This fixed our Current vs. Voltage graph also.

% error

equation for current with a capacitor derivation

attempting the same derivation that was on the previous board, we just  needed to replace dV/dt with the derivative of Vmax sin(wt+phi) = Vmax w cos(wt+phi)

on the right we derived the voltage equation and obtained a reactance constant.

just showing that w can be replaced with 2πf

practicing using Xc to get a current.

the set up; Capacitor circuit 

high error :(

derivation of inductance equation

 Today we learned how inductors, resistors, and capacitors affect AC circuits 

Day 26

* establishing the reactance of inductors, capacitors, and resistors. Also combining these to form a general reactance equation for a RLC series circuit. then just for a RC circuit.

 The same equation except instead of Vrms, Vmax is substituted.

what would happen if the frequency was doubled. As R approaches zero the Irms doubles when it approaches infinite, it doesn't change.

Irms values with given R,q,C, and V max values

The table set up with practical values for measuring

our data. The stat function displays the V and Rmax values in the form of amplitude.

Final data w/ work

close up on the statistics displayed

our phase change values when the frequency was at 10 and 100Hz.

The work of another group getting the answer in degrees

Us getting matching answers using this equation.

explanation of phase shift and resonant frequency using phasors.

A new circuit. The previous circuit only had a capacitor and a resistor.

The resonant frequency for our circuit. and a picture of our circuit.

Today we learned about how Capacitors, Inductors, and resistors affect AC circuits seperately.