Equation Reference 5-15
Equations:
VV–
I∆
t∆
-----
⎝⎠
⎛⎞
⋅=
V∆ If–Ii–=t∆ tf ti–=
Example:
Given: L=100_mH, V=52_V, ∆t=32_µs, Ii=23_A, ti=0_s.
Solution: ∆I= -0.0166_A, If=22.9834_A, tf=32_µs.
RC Transient (2, 15)
Equation:
VVfVfVi–()–e
t
RC⋅
------------
⋅=
Example:
Given: Vi=0_V, C=50_µF, Vf=10_V, R=100_
ω, t=2_ms.
Solution: V=3.2968_V.
RL Transient (2, 16)
Equation:
I
1
R
----
Vf Vf Vi–()–e
R⋅
L
-------------
⋅
⎝⎠
⎜⎟
⎛⎞
⋅=
Example:
Given: Vi=0_V, Vf=5_V, R=50_
ω, L=50_mH, t=75_µs.
Solution: I=0.0072_A.