Formulario Fundamentals of electrical systems

() = ()

() ℎ

CURRENT GENERATOR () = ()() = ()()

SHORT CIRCUIT () = 0 ∀, ∀

OPEN CIRCUIT () = 0 ∀, ∀

1

+ ()

() =

()

() =

0

()

() = ()() = ()

CAPACITOR 1 ()

() =

2

=

=

MAGIC FORMULA TRANSIENT () ( )

= − ∞ + ∞

(R = eq. resistance to the

eq =

terminals of C) ()

() =

0

1

+ ()

INDUCTOR () =

()

() = ()() = ()

1 ()

() =

2

= ℎ

=

MAGIC FORMULA TRANSIENT () ( )

= − ∞ + ∞

(R = eq. resistance to the

eq =

terminals of L)

RESISTOR =

1

⎧ =

CAPACITOR

SERIES ⎨ = ( = 0) = +

⎩ =

INDUCTOR

CONNECTION = ( = 0) = =

1

RESISTOR = =( )

CAPACITOR

PARALLEL =

= ( = 0) = = 1

⎧ =

INDUCTOR

⎨ = ( = 0) = +

⎩

∆

= 3

+ +

=

STAR TO DELTA + +

=

+ +

=

= 3

∆

= + +

DELTA TO STAR = + +

= + +

VOLTAGE DIVIDER RULE ⎧ =

⎪

for resistors in series

(R = resistance of which it is wanted to ⎨

k

calculate v) ⎪

() = ()

⎩

CURRENT DIVIDER RULE 1

⎧

For resistors in parallel =

⎪

(R = resistance in parallel witch the one of

p ⎨

which is wanted to calculate i ⎪ () = ()

R + R = sum of the branches in parallel) +

p k ⎩

= =

THEVENIN NORTON

↔ = =

−

= = = −

RESISTOR

NODAL ANALYSIS CURRENT GENERATOR =

SINE WAVE () = ( + )

2

PERIOD =

AC CIRCUITS 1

FREQUENCY = =

2

RMS = = √2

(root mean square) () = ( + )

√2



KCL = =0



= =0

KVL

VOLTAGE GENERATOR’S



SINE WAVE PHASORS 

CONSTITUTIVE () = () ∀, ∀ = ∀

EQUATION

CURRENT GENERATOR 

CONSTITUTIVE () = () ∀, ∀ = ∀

EQUATION

RESISTOR’S =



CONSTITUTIVE () = () = =

EQUATION