This is a draft cheat sheet. It is a work in progress and is not finished yet.
Resistors
in series: Rtotal = R1 + R2 etc
parallel: Rtotal = 1 / (1 / R1 + 1 / R2 etc.) |
Ohm's Law
V=IR |
I= V/Xc |
Z=V/I |
I=V/XL |
THE (R) GETS REPLACED DEPENDING ON WHAT YOU'RE USING TO SOLVE
RC Circuits
Time constant |
τ= RC |
instanteous voltage |
V= Vf+ (Vi-Vf) e ^(-t/τ) |
current |
i= If+ (Ii- If) e^(-t/τ) |
charging from zero |
V=Vf (1-e^(-t/RC)) |
Capacitive reactance |
Xc= 1/ 2pifC |
Xc in series |
Xc total= Xc1+ Xc2... |
Xc in parallel |
Xc= 1/ (1/Xc1) + (1/Xc2) +... |
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Capacitors
in series |
Ctotal = 1 / (1 / C1 + 1 / C2 etc.) |
parallel |
Ctotal = C1 + C2 etc. |
Voltage Divider
Vx= (Vs/Rt) Rx |
Vx=(Rx/Rt) Vs |
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Inductors
in series |
Lt= L1+L2 etc |
parallel |
Lt= 1/(1/L1)+(1/L2)... |
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