{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Lecture_6

# Lecture_6 - ECE103 Spring 2008 Lecture 6 Circuit Theorems...

This preview shows pages 1–2. Sign up to view the full content.

ECE103 Spring 2008 Lecture 6 Circuit Theorems Linearity Property Linearity is the property of one element describing a linear relationship between cause and effect. The linearity property is a combination of the scaling property and the additivity property The homogeneity property requires that if the input or excitation is multiplied by a constant factor, the output or response will be multiplied by the same constant factor. For a resistor in an electric circuit, we can easily check that Ohm’s law relates the current through and the voltage across a resistor linearly. To corroborate that we observe that the scaling property applies: v R i kv R k i = = When we increase the current by a constant factor k the voltage increases by the same factor. The other property is the additivity: the voltage across a resistor is related to the current by the Ohm’s law 1 1 2 2 v i R v i R = = If we apply a current 1 2 i i + , the voltage is calculated ( ) 1 2 1 2 1 2 v i i R i R i R v v = + = + = + So we can conclude that a resistor is a linear element because the voltage-current relationship fulfills both the homogeneity and additivity properties. A linear circuit is one whose output is linearly related (or directly proportional) to its input Superposition The superposition principle rests on the linearity property. In a circuit with two or more

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 4

Lecture_6 - ECE103 Spring 2008 Lecture 6 Circuit Theorems...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online