17 The total energy supplied to an electric motor is E. Energy Q is wasted and the remaining energydoes useful work.What is the efficiency of the motor?A QE B QE – 1 C 1 – QE D (1 )QE
Question
17 The total energy supplied to an electric motor is E. Energy Q is wasted and the remaining energydoes useful work.What is the efficiency of the motor?A QE B QE – 1 C 1 – QE D (1 )QE
Solution
The efficiency of a motor (or any system) is defined as the ratio of the useful output energy (or power) to the input energy (or power). It is usually expressed as a percentage.
In this case, the total energy supplied to the motor is E, and the energy that does useful work is (E - Q), because Q is the energy wasted.
So, the efficiency of the motor is given by the formula:
Efficiency = (Useful output energy / Total input energy) * 100%
Substituting the given values into the formula, we get:
Efficiency = ((E - Q) / E) * 100%
This can be simplified to:
Efficiency = (1 - Q/E) * 100%
So, the correct answer is C: 1 - Q/E.
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