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Below is the dynamics of heat transfer: A container in an oven for instance dTc 1 1 ·TC+⋅ dt R+Ct -Tamb R+Ct In this equation, the container temperature Tc is the Output and the ambient temperature Tamb is the input. Thermal resistance and capacitance values are C+=7000 J/°C and R₁ = 0.0142858 W/°C. Initial condition is zero: Tc (0) = 0 °C. Obtain the transfer function of the system Create a table to compute its frequency response characteristics by considering low frequency region and high frequency region. Also consider a middle frequency. For low frequency region, consider a = 1e - 4 rad/s and w=1e-3-rad/s. For middle frequency, consider w=1e- 2 rad/s. For high frequency region, consider w = 1e-1 rad/s and w=1rad/s Using the magnitude and phase responses you tabulated, hand-sketch its Bode diagram. Clearly show low frequency and high frequency assumptions your drawing. Smoothen the diagram by considering the magnitude and phase at the middle frequency.

Below is the dynamics of heat transfer: A container in an oven for instance dTc 1 1 ·TC+⋅ dt R+Ct -Tamb R+Ct In this equation, the container temperature Tc is the Output and the ambient temperature Tamb is the input. Thermal resistance and capacitance values are C+=7000 J/°C and R₁ = 0.0142858 W/°C. Initial condition is zero: Tc (0) = 0 °C. Obtain the transfer function of the system Create a table to compute its frequency response characteristics by considering low frequency region and high frequency region. Also consider a middle frequency. For low frequency region, consider a = 1e - 4 rad/s and w=1e-3-rad/s. For middle frequency, consider w=1e- 2 rad/s. For high frequency region, consider w = 1e-1 rad/s and w=1rad/s Using the magnitude and phase responses you tabulated, hand-sketch its Bode diagram. Clearly show low frequency and high frequency assumptions your drawing. Smoothen the diagram by considering the magnitude and phase at the middle frequency.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Below is the dynamics of heat transfer: A container in an oven for instance dTc 1 1 ·TC+⋅ dt R+Ct -Tamb R+Ct In this equation, the container temperature Tc is the Output and the ambient temperature Tamb is the input. Thermal resistance and capacitance values are C+=7000 J/°C and R₁ = 0.0142858 W/°C. Initial condition is zero: Tc (0) = 0 °C. Obtain the transfer function of the system Create a table to compute its frequency response characteristics by considering low frequency region and high frequency region. Also consider a middle frequency. For low frequency region, consider a = 1e - 4 rad/s and w=1e-3-rad/s. For middle frequency, consider w=1e- 2 rad/s. For high frequency region, consider w = 1e-1 rad/s and w=1rad/s Using the magnitude and phase responses you tabulated, hand-sketch its Bode diagram. Clearly show low frequency and high frequency assumptions your drawing. Smoothen the diagram by considering the magnitude and phase at the middle frequency.
Transcribed Image Text:Below is the dynamics of heat transfer: A container in an oven for instance dTc 1 1 ·TC+⋅ dt R+Ct -Tamb R+Ct In this equation, the container temperature Tc is the Output and the ambient temperature Tamb is the input. Thermal resistance and capacitance values are C+=7000 J/°C and R₁ = 0.0142858 W/°C. Initial condition is zero: Tc (0) = 0 °C. Obtain the transfer function of the system Create a table to compute its frequency response characteristics by considering low frequency region and high frequency region. Also consider a middle frequency. For low frequency region, consider a = 1e - 4 rad/s and w=1e-3-rad/s. For middle frequency, consider w=1e- 2 rad/s. For high frequency region, consider w = 1e-1 rad/s and w=1rad/s Using the magnitude and phase responses you tabulated, hand-sketch its Bode diagram. Clearly show low frequency and high frequency assumptions your drawing. Smoothen the diagram by considering the magnitude and phase at the middle frequency.
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