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:

V = –V ⋅

I

V = – If – Ii

t = tf – ti

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t

 

 

Example:

Given: L=100_mH, V=52_V, Δt=32_ls, Ii=23_A, ti=0_s.

Solution: ΔI= -0.0166_A, If=22.9834_A, tf=32_ls.

RC Transient (2, 15)

Equation:

–t

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V = Vf – (Vf – Vi) ⋅ eR ⋅ C

Example:

Given: Vi=0_V, C=50_lF, 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_ls.

Equation Reference 5-15