Laplace Transform Circuit Element Models

1
Laplace Transform Circuit Element Models

• ELEC 202
• Electric Circuit Analysis II

2
Resistor Model

• The voltage-current relationship
• in the time-domain is
• v(t) Ri(t)
• Taking the Laplace
• Transform,
• V(s) RI(s)

3
Inductor Models

• The voltage-current relationship in the time
  domain is
• Taking the Laplace Transform,
• Or,

4
Inductor Models
5
Capacitor Models

• The voltage-current relationship in the time
  domain is
• Taking the Laplace Transform,
• Or,

6
Capacitor Models
7
Zero Initial Conditions