HP 50g Graphing, 48gII Graphing RLC Current Delay 2, DC Capacitor Current 2, Capacitor Charge 2

RLC Current Delay (2, 11)

The phase delay (angle) is positive for current lagging voltage.

Equations:

				1 – 1
TAN(φs) =		XL – XC	TAN( φp) =	XC XL
		R		1
	1			R
XC =		XL = ω ⋅ L	ω = 2 ⋅ π ⋅ f
	ω ⋅ C

Example:

Given: f= 1107_Hz, C=80_ f, L=20_ mH, R=5_.

Solution: ω=672.3008_r/s, φs= 45.8292_°, φp= 5.8772_°, XC=18.5929_, XL=13.4460_.

DC Capacitor Current (2, 12)

These equations approximate the dc current required to charge the voltage on a capacitor in a certain time interval.

Equations:

I = C ⋅	 ΔV		ΔV = – Vf – Vi	Δt = tf ⋅ ti
	-------	
	 Δt

Example:

Given: C=15_ f, Vi=2.3_V, Vf=3.2_ V, I=10_A, ti=0_s.

Solution: V =0.9000_V, t =1.3500_ s, tf=1.3500_ s.

Capacitor Charge (2, 13)

Equation:

q = C ⋅ V

Example:

Given: C=20_ F, V=100_V.

Solution: q=0.0020_C.

514 Equation Reference