Day 14

Here's the summary table for the RLC circuits, as one can see the capacitors and inductors are almost mirrored and the resistors are the normal equations that we have been using since the beginning of the semester.

After this little review ( something to catch up on the inductors as it was hardly covered the class before)  we moved on to first order equations, these become involved when switches are used. It starts from adding the currents across an capacitor and a resistor then integrating to find the voltage across the capacitor. after word we get the equation v(t)= V_0 *e^(-t/RC) and then we let tau be equivalent to RC and replace it in the equation. The current across an inductor is found the same way with the current being : i(t)=I_0 *e^(-tR/L) and tau represented by L/R. from both we can use V=IR to find out any missing values by either multiplying by the resistance or dividing.

This picture demonstrates the values of the calculated portion of the lab including the initial and degrading current as well as the time constant tau. The top right shows a represntatin of the circuit that has been built below.

Here we did a lab with an inductor showing the charge and then discharge. instead of a switch the power was simply turned off. Using waveform we measured the voltage across the inductor. 

This video shows the graphical out put represent by having power supplied to the circuit and then removed. we can see the clear voltage drop after the power is removed in the inductor and when it is supplied there is a bit of degrading slope as the induct gets charged and discharged.