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 Ω, 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. answer: 8.75 ohms

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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 Ω, 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.

answer: 8.75 ohms

N
A
Plane loop
of wire
X
Permanent magnet
B
D
S
Transcribed Image Text:N A Plane loop of wire X Permanent magnet B D S
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