Question 2.2 For the doubly excited system shown in Fig. 2, the inductances are approximated as per (1)-(3). The coils are energized with direct current, I, and I₂ is 0.7A and 0.8A respectively. L=11+3 cos (20) L₂= 7+2 cos(20) M = 11cos(0) (a) Find the torque as a function of 0. (b) Find the energy stored in the system as a function of 0. 0 (1) (3) (c) Is the torque 2.2 For the doubly excited system shown in Fig. 2, the inductances are approximated as per (1)-(3). The coils are energized with direct current, I, and I₂ is 0.7A and 0.8A respectively. L=11+3 cos (20) L₂= 7+2 cos(20) M = 11cos(0) (a) Find the torque as a function of 0. (b) Find the energy stored in the system as a function of 0. 0 (1) (3) (c) Is the torque affected by the polarity of the current? Explain your answer. (d) Determine the induced voltage in coil 2, if coil 2 becomes open circuit, (i.e. I₂ =0A) and the speed of rotation is 0-10rad/sec? [5] T [3] [2] [2] Figure 2: A doubly fed magnetic system

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Transcribed Image Text: 2.2 For the doubly excited system shown in Fig. 2, the inductances are approximated as per (1)-(3). The coils are energized with direct current, I, and I₂ is 0.7A and 0.8A respectively. L=11+3 cos (20) L₂= 7+2 cos(20) M = 11cos(0) (a) Find the torque as a function of 0. (b) Find the energy stored in the system as a function of 0. 0 (1) (3) (c) Is the torque affected by the polarity of the current? Explain your answer. (d) Determine the induced voltage in coil 2, if coil 2 becomes open circuit, (i.e. I₂ =0A) and the speed of rotation is 0-10rad/sec? [5] T [3] [2] [2] Figure 2: A doubly fed magnetic system
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Transcribed Image Text: 2.2 For the doubly excited system shown in Fig. 2, the inductances are approximated as per (1)-(3). The coils are energized with direct current, I, and I₂ is 0.7A and 0.8A respectively. L=11+3 cos (20) L₂= 7+2 cos(20) M = 11cos(0) (a) Find the torque as a function of 0. (b) Find the energy stored in the system as a function of 0. 0 (1) (3) (c) Is the torque affected by the polarity of the current? Explain your answer. (d) Determine the induced voltage in coil 2, if coil 2 becomes open circuit, (i.e. I₂ =0A) and the speed of rotation is 0-10rad/sec? [5] T [3] [2] [2] Figure 2: A doubly fed magnetic system
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Y -Answer::-      t{:[(1)/(L)L_(1)=11+3cos(2theta)],[L_(2)=7+2cos(2theta)],[M=11 cos theta],[W(j_(1),i_(2),theta)=(1)/(2)L_(1)l_(1)^(2)+(1)/(2)L_(2)lambda_(2)^(2)+MI_(2)],[=(1)/(2)(11+3cos 2theta)(0.7)^(2)+(1)/(2)[7+2cos(2theta)](0.8)^(2)+],[=0.245(11+3cos 2theta)+0.32(7+2cos 2theta)],[+6.16 cos theta.],[(del Wf)/(del theta)=-6xx0.245 sin 2*theta-[0.32 xx2xx2sin 2theta]],[+1-6.16 sin theta)]:}(a)lambda_(F)=-1.47 sin 2theta-1.28 sin 2theta-6.1 ... See the full answer