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3. Figure 5 shows a linear graph of a motor driving a heavy rotor. The electric circuit of the motor consists of a voltage source Vs(t) and a resistor with resistance R. The rotor has mass moment of inertia J. The motor is modeled as an ideal transformer with T = kai and V = ka, where i and V are the current and voltage of the motor and T and 2 are the torque and angular velocity of the rotor. Answer the following questions. (a) Determine the driving point impedance Z(s). 2 (b) In an impedance test, the voltage is varied sinusoidally, i.e., Vs(t) = vo coswt, to measure impedance Z(jw) along the pure imaginary axis. Roughly sketch the magnitude of Z (jw) with respect to frequency w. T(t) + R V₁(t) 2 Figure 5: Linear graph of a motor driving a heavy rotor

3. Figure 5 shows a linear graph of a motor driving a heavy rotor. The electric circuit of the motor consists of a voltage source Vs(t) and a resistor with resistance R. The rotor has mass moment of inertia J. The motor is modeled as an ideal transformer with T = kai and V = ka, where i and V are the current and voltage of the motor and T and 2 are the torque and angular velocity of the rotor. Answer the following questions. (a) Determine the driving point impedance Z(s). 2 (b) In an impedance test, the voltage is varied sinusoidally, i.e., Vs(t) = vo coswt, to measure impedance Z(jw) along the pure imaginary axis. Roughly sketch the magnitude of Z (jw) with respect to frequency w. T(t) + R V₁(t) 2 Figure 5: Linear graph of a motor driving a heavy rotor

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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3. Figure 5 shows a linear graph of a motor driving a heavy rotor. The electric circuit of the motor consists of a voltage source Vs(t) and a resistor with resistance R. The rotor has mass moment of inertia J. The motor is modeled as an ideal transformer with T = kai and V = ka, where i and V are the current and voltage of the motor and T and 2 are the torque and angular velocity of the rotor. Answer the following questions. (a) Determine the driving point impedance Z(s). 2 (b) In an impedance test, the voltage is varied sinusoidally, i.e., Vs(t) = vo coswt, to measure impedance Z(jw) along the pure imaginary axis. Roughly sketch the magnitude of Z (jw) with respect to frequency w. T(t) + R V₁(t) 2 Figure 5: Linear graph of a motor driving a heavy rotor
Transcribed Image Text:3. Figure 5 shows a linear graph of a motor driving a heavy rotor. The electric circuit of the motor consists of a voltage source Vs(t) and a resistor with resistance R. The rotor has mass moment of inertia J. The motor is modeled as an ideal transformer with T = kai and V = ka, where i and V are the current and voltage of the motor and T and 2 are the torque and angular velocity of the rotor. Answer the following questions. (a) Determine the driving point impedance Z(s). 2 (b) In an impedance test, the voltage is varied sinusoidally, i.e., Vs(t) = vo coswt, to measure impedance Z(jw) along the pure imaginary axis. Roughly sketch the magnitude of Z (jw) with respect to frequency w. T(t) + R V₁(t) 2 Figure 5: Linear graph of a motor driving a heavy rotor
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