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
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