theorems Flashcards
what are voltage sources
ideal sources in series with sources resistance
- internal resistance is 0, source reduce to ideal 1
what are current sources
ideal source with a parallel source resistance
- when source resistance is infinite, current source is ideal
how are voltage source and current source related
Is = Vs / Rs
Vs = Is x Rs
what is the superposition theorem
- current/voltage in any given branch of a multi-source linear circuit can be found by determining the current/voltage in the particular branch produced by each source acting independently with all other sources replaced by internal resistance
- total current/voltage for the branch is the algebraic sum of the responses in that branch
- take 1 source at a time and sum the results
what is Thevenins theorem
any 2 terminal resistive circuit can be replaced with a simple equivalent circuit when viewed from the 2 output terminals
Vth = the open circuit voltage between the two output terminal
Rth = the total resistance between the two output terminals when all sources have been replaced by their internal resistance
how to calculate thevenins theorem (Rth & Vth)
- open the 2 terminals
- determine vth across the terminals
- determine rth across the terminals with all sources replaced by their internal resistance (ideal values)
- connect vth & Rth in series
- replace load across the terminals & calculate load Q & V using ohms laws
what is nortons theorem
any 2 terminal resistive circuit can be replaced with a simple equivalent circuit when viewed from output
IN & RN in parallel
IN - the output current when the terminals are shorted
RN - total resistance appearing between the 2 outputs terminals when all sources have been replaced by internal resistance
how to calculate Nortons theorem
- open the 2 terminals
- short the 2 terminals between the ones you want
- determine IN between the shortened terminals
- determine RN between 2 open terminals with all sources replaced with internal resistance
- connect IN & RN in parallel
RT = R1 + (R2xR3 /R2 +R3)
IT = Vs/RT -> IN = (R2/R2 +R3) x IT
what is the maximum power transfer theorem
- used when you need to know the value of a load a which the most power is delivered from a source
- for a given source voltage, maximum power is transferred from a source to a load when the load resistance is equal to internal source resistance
- maximum power occurs whens RL =Rs
current source : a device that ideally provides a constant value of current regardless of load
what is lenz law
when the current through a coil changes, an induced voltage is created across the coil that always opposes the change in current