# Difference between revisions of "Dictionary:Linear system"

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<b>1</b>. A system whose output is linearly related to its input. If a linear system is excited by a sine wave of frequency ''f''<sub>1</sub>, the output will contain only the frequency ''f''<sub>1</sub>; the amplitude and phase may be changed, however. The <b>rule of scaling</b> (if ''A'' results in ''B'', then ''kA'' results in ''kB, k'' being any constant) and the <b>rule of superposition</b> (if ''A'' results in ''B'' and ''C'' results in ''D'', then ''A''+''C'' results in ''B''+''D'') apply. <b>2</b>. An electrical circuit whose impedance is independent of applied voltage (or current). | <b>1</b>. A system whose output is linearly related to its input. If a linear system is excited by a sine wave of frequency ''f''<sub>1</sub>, the output will contain only the frequency ''f''<sub>1</sub>; the amplitude and phase may be changed, however. The <b>rule of scaling</b> (if ''A'' results in ''B'', then ''kA'' results in ''kB, k'' being any constant) and the <b>rule of superposition</b> (if ''A'' results in ''B'' and ''C'' results in ''D'', then ''A''+''C'' results in ''B''+''D'') apply. <b>2</b>. An electrical circuit whose impedance is independent of applied voltage (or current). | ||

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## Latest revision as of 18:02, 26 August 2017

**1**. A system whose output is linearly related to its input. If a linear system is excited by a sine wave of frequency *f*_{1}, the output will contain only the frequency *f*_{1}; the amplitude and phase may be changed, however. The **rule of scaling** (if *A* results in *B*, then *kA* results in *kB, k* being any constant) and the **rule of superposition** (if *A* results in *B* and *C* results in *D*, then *A*+*C* results in *B*+*D*) apply. **2**. An electrical circuit whose impedance is independent of applied voltage (or current).