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Figure QB2b shows the set-up for a simple DC motor. The plane loop of wire, ABCD where AC = BD = 25 cm and AB = CD = 50 cm, is made of Copper. Show that the resistance of the plane loop is approximately 0.25 02, given that the cross-sectional area of the Copper wire is 10-7 m². You may assume that the horizontal distance between X and Y in the figure is negligible compared to the length of CD. Using the resistance of the loop, determine the torque of the motor, given that the battery has an EMF of 30 V and the magnetic flux density of the permanent magnet is 2 T. You may assume that the battery, the switch and the connecting wires in the circuit all have negligible internal resistance.

Figure QB2b shows the set-up for a simple DC motor. The plane loop of wire, ABCD where AC = BD = 25 cm and AB = CD = 50 cm, is made of Copper. Show that the resistance of the plane loop is approximately 0.25 02, given that the cross-sectional area of the Copper wire is 10-7 m². You may assume that the horizontal distance between X and Y in the figure is negligible compared to the length of CD. Using the resistance of the loop, determine the torque of the motor, given that the battery has an EMF of 30 V and the magnetic flux density of the permanent magnet is 2 T. You may assume that the battery, the switch and the connecting wires in the circuit all have negligible internal resistance.

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answer = 29.8Nm

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N A C Plane loop of wire X Permanent magnet B D S Figure QB2b. The DC motor layout for question B2(b).
Transcribed Image Text:N A C Plane loop of wire X Permanent magnet B D S Figure QB2b. The DC motor layout for question B2(b).
Figure QB2b shows the set-up for a simple DC motor. The plane loop of wire, ABCD where AC = BD = 25 cm and AB = CD = 50 cm, is made of Copper. Show that the resistance of the plane loop is approximately 0.25 02, given that the cross-sectional area of the Copper wire is 10-7 m². You may assume that the horizontal distance between X and Y in the figure is negligible compared to the length of CD. Using the resistance of the loop, determine the torque of the motor, given that the battery has an EMF of 30 V and the magnetic flux density of the permanent magnet is 2 T. You may assume that the battery, the switch and the connecting wires in the circuit all have negligible internal resistance.
Transcribed Image Text:Figure QB2b shows the set-up for a simple DC motor. The plane loop of wire, ABCD where AC = BD = 25 cm and AB = CD = 50 cm, is made of Copper. Show that the resistance of the plane loop is approximately 0.25 02, given that the cross-sectional area of the Copper wire is 10-7 m². You may assume that the horizontal distance between X and Y in the figure is negligible compared to the length of CD. Using the resistance of the loop, determine the torque of the motor, given that the battery has an EMF of 30 V and the magnetic flux density of the permanent magnet is 2 T. You may assume that the battery, the switch and the connecting wires in the circuit all have negligible internal resistance.
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