Ch-5 (\uc911\ucca9-Thevenin).pdf - Ch.5 Additional Analysis Techniques LEARNING GOALS LINEARITY SUPERPOSITION THEVENIN\u2019S AND NORTON\u2019S THEOREMS MAXIMUM

Ch-5 (uc911ucca9-Thevenin).pdf - Ch.5 Additional Analysis...

This preview shows page 1 - 8 out of 22 pages.

Ch.5 Additional Analysis Techniques LEARNING GOALS LINEARITY SUPERPOSITION THEVENIN’S AND NORTON’S THEOREMS MAXIMUM POWER TRANSFER
Equivalent Circuits Equivalent Circuits s v a b R s i a b R 𝑽 𝒔 = 𝑹. 𝑰𝒔
Linear System Principles of Superposition ( 중첩의 원리 ) 𝑦 = 𝐻(𝑥) is linear iff 𝑦 = 𝐻 𝛼 𝑥 + 𝛼 𝑥 = 𝛼 𝐻 𝑥 + 𝛼 𝐻 𝑥 for all possible input pairs 𝑥 , 𝑥 and for all possible scalars 𝛼 , 𝛼 정의 1 정의 2 𝑦 = 𝐻(𝑥) is linear iff it meets the following two conditions Additivity : 𝐻 𝑥 + 𝑥 = 𝐻 𝑥 + 𝐻 𝑥 , ∀ 𝑥 , 𝑥 Homogeneity : 𝐻 𝛼𝑥 = 𝛼𝐻 𝑥 , ∀ 𝛼 , 𝑥 일상 생활에서 찾아볼 수 있는 Linearity Exchange Rates Feet F in terms of centimeters, C C=30.48 * F Travel Distance D that a vehicle moves during H hours (with a speed of 60 mph) D = 60 * H Are the followings linear? Temperature Conversion C = (5/9) (F-32) Cell Phones Monthly cost based on minutes/month C = 0.05m + 20
Example 5.1: Find V out . ] [ 1 2 V V V out = = ASSUME Now use homogeneity ] [ 2 ] [ 12 ] [ 1 ] [ 6 V V V V V V V V out O out O = = = = Source Superposition = +
Example 5.3