Electricity And Magnetism : a Mathematical Treatise for Advanced Undergraduate Students

Cover Electricity And Magnetism : a Mathematical Treatise for Advanced Undergraduate Students
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For any given motor ( which fixes R) supplied with electricity at any potential E, the efficiency will be perfect or unity when i = 0. This will occur when all of the load, including friction, is removed, and the motor is running at such a speed that its electro- motive force E' which opposes E becomes equal to E.
The efficiency thus becomes perfect when the output becomes zero. The efficiency becomes fifty per cent 1 V when « = -_ or when the output is a maximum, and it Z Li E reduces to zero
...when i = -5-. There is no condition of R maximum efficiency here. 17 diminishes steadily from 1 to zero as i increases from to the rate of change being dy__ R Fig. 84. di~ W § 129 ELECTRIC CURRENTS.
201 This is shown in the upper line in Fig. 84. Counting in the work lost in brush and journal friction as useful work, commercial motors may, therefore, be very effi- cient, but they must be allowed to run at high speed.
The load must be much less than that corresponding to maximum output.
In Fig.


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