Exam 1 Study Guide
 Hw Solutions
 Labs 1, 2
 Lecture Notes
Exam Content
 Electrical Systems
o State Space
o Diff Eq
o Transfer Function
o Won’t ask for all three
 Mechanical System
o Diff Eq
o State Space
o Transfer Function
o Won’t ask for all three
 Poles
 Time Response
 %OS
 Phase Variable System
 Systems will not higher than second order
 2 Loops
𝑑𝐼𝑙1
= 𝑉𝑙𝑖
𝑑𝑡
𝑑𝑉𝑐1
2. 𝐶1
= 𝐼𝑐1
𝑑𝑡
𝑑𝑉𝑐2
3. 𝐶2
= 𝐼𝑐2
𝑑𝑡
1. 𝐿𝑖
𝐼𝑐1 = 𝐼1 − 𝐼2
𝑉𝑜 = 𝑉𝑐1 − 𝑉𝑐2
(𝑉𝑐1 − 𝑉𝑐2)
𝐼𝑐1 = 𝐼1 −
𝑅2
𝐼𝐿1 = 𝐼1 − 𝐼3
𝑉𝑖 𝑉𝑜 𝑉𝑜
𝐼𝑐1 = 𝐼𝑙1 +
−
−
𝑅1 𝑅1 𝑅2
𝑉𝑖 − (𝑉𝑐1 − 𝑉𝑐2) (𝑉𝑐1 − 𝑉𝑐2)
𝐼𝑐1 = 𝐼𝐿1 +
−
𝑅2
𝑅2