HP 48gII Graphing manual DC Inductor Voltage 2, RC Transient 2, RL Transient 2, Solution V=3.2968V

DC Inductor Voltage (2, 14)

These equations approximate the dc voltage induced in an inductor by a change in current in a certain time interval.

Equations:

	⋅	 ΔI		Δ	Δ
V = –V		-----				t = tf – ti
		 Δt		V = – If – Ii

Example:

Given: L=100_mH, V=52_V, t =32_ s, Ii=23_A, ti=0_s.

Solution: I = 0.0166_A, If=22.9834_A, tf=32_ s.

RC Transient (2, 15)

Equation:

–t

-----------

V = Vf – ( Vf – Vi) ⋅ eR ⋅ C

Example:

Given: Vi=0_V, C=50_ F, Vf=10_V, R=100_ω, t=2_ms.

Solution: V=3.2968_V.

RL Transient (2, 16)

Equation:

	1		–t ⋅ R	
			L
			------------
I =	---	⋅ Vf – (Vf – Vi) ⋅ e		
	R			

Example:

Given: Vi=0_V, Vf=5_V, R=50_ω, L=50_mH, t=75_ s.

Equation Reference 515