(Solved): The figure below shows a simplified rotor and stator for a DC motor. The aver ...

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The figure below shows a simplified rotor and stator for a DC motor. The average length of the magnetic path of the stator is \( l_{c}=50 \mathrm{~cm} \) and its crosssectional area is \( A=12 \mathrm{~cm}^{2} \). The average length of the magnetic path of the rotor is \( l_{r}=5 \mathrm{~cm} \) and its cross-sectional area is assumed \( A=12 \mathrm{~cm}^{2} \). Each air-gap between the rotor and stator is \( l_{g}=0.05 \mathrm{~cm} \) wide, and the cross-sectional area of each air-gap including fringing is assumed to be \( A_{g}=14 \mathrm{~cm}^{2} \). The ferromagnetic material of the core has a relative permeability of \( \mu_{r}=5000 \). The rotor is assumed to be infinitely permeable. The current in the 200 -turn winding is adjusted at \( 2 \mathrm{~A} \). The permeability of free space is \( \mu_{0}=4 \pi \times 10^{-7} \mathrm{H} / \mathrm{m} \). Select the correct statement The self-inductance of the system is \( 0.63 \mathrm{H} \) and the magnetic flux in the core is \( 7.875 \times 10^{-4} \mathrm{~Wb} \) The magnetic flux in the core is \( 5.356 \times 10^{-4} \mathrm{~Wb} \) and the energy stored in the magnetic field of the motor is \( 0.1337 \mathrm{~J} \). The self-inductance of the system is \( 0.063 \mathrm{H} \) and the energy stored in the magnetic field of the motor is \( 1.36 \mathrm{~J} \). The magnetic flux in the core is \( 0.063 \mathrm{mWb} \) and the self-inductance of the system is \( 0.0428 \mathrm{H} \). The magnetic flux in the core is \( 0.632 \mathrm{mWb} \) and the energy stored in the magnetic field of the motor is \( 0.126 \mathrm{~J} \).