transfun - Boise State University Department of Electrical...

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Boise State University Department of Electrical and Computer Engineering ECE225 – Circuit Analysis and Design Transfer Function and Frequency Response Reading Assignment : Secs. 14.2, 15.5, and 16.4. Lecture Objectives : 1. To define the frequency response of a linear circuit. 2. To establish a relationship between the transfer function of a linear circuit and its frequency response. 3. To define the impulse response of a linear circuit and the convolution integral. Definition : The frequency response ¯ H ( ) = H ( ω ) 6 φ ( ω ) of a linear circuit is the frequency- dependent relationship in both magnitude and phase between a steady-state sinusoidal input signal and a steady-state sinusoidal output signal. C=10mF v (t) o + - + V o - -j10 ^ V =120 0 ^ i R=10 10 i + - + - v (t)=120cos(10t) Find : The sinusoidal steady-state response v o ( t ). Solution : ˆ V o = ¯ H ( j 10) × ˆ V i = - j 10 10 - j 10 × ˆ V i = 10 6 - 90 o 10 2 6 - 45 o × 120 6 0 o = ˆ 2 2 6 - 45 o ! × 120
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transfun - Boise State University Department of Electrical...

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