3582364638

RLC Circuits

thc curront at all points in a scrics AC Circuit has thc same amplitudo and phasc

/\v = AKnaxsinoo/

the current will .    -    .    ✓    . v

ssi fj&z ¹ =    ~ &

phase angle botween the currcnt and tho voltago

*

AV.

AV'

_

\*— Av_R ^ A U/— -^-\JMMLr

O)

90*

*^vc	“90*^/m"
*— Av _II	n—*\

/*

1.

C

Kirchoffs Voftagc Sum Ruto

Ay = Av„ + Aa + Aa

e

&v = A K^sin co/

voltage teads the currcnt

in phase with vottage I

l\ I

Resistor

A

♦90* quf ot pif asc with voltage

Inductor

Av

looking at the triangle and using the pythagorean theorem

•90* out of p/jaso with voltage

Capacitor

Av_c

AV™ = V^Jv[+W, - Vc)

factoring out the Curront I

A = /« \ R^! + (X, - xj

Impedance

A V_mm = 7_max Z

phase angle

_x .    j/A', —

(j) = tan ’(—^-)

lf X_L> X_c (which occurs at high freąuencies) <p is positive. Circuit is lnductive.

lfX_L< X_c <p is negative. Circuit is Capacitive.

lf(X_L-X_c) = 0, then Z = R.

Circuit is Rcsistive