theorems Flashcards

1
Q

what are voltage sources

A

ideal sources in series with sources resistance
- internal resistance is 0, source reduce to ideal 1

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2
Q

what are current sources

A

ideal source with a parallel source resistance
- when source resistance is infinite, current source is ideal

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3
Q

how are voltage source and current source related

A

Is = Vs / Rs
Vs = Is x Rs

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4
Q

what is the superposition theorem

A
  • 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
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5
Q

what is Thevenins theorem

A

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Rth = the total resistance between the two output terminals when all sources have been replaced by their internal resistance

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6
Q

how to calculate thevenins theorem (Rth & Vth)

A
  • 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
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7
Q

what is nortons theorem

A

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RN - total resistance appearing between the 2 outputs terminals when all sources have been replaced by internal resistance

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8
Q

how to calculate Nortons theorem

A
  • 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

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9
Q

what is the maximum power transfer theorem

A
  • 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

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10
Q

what is lenz law

A

when the current through a coil changes, an induced voltage is created across the coil that always opposes the change in current

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