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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

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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.

This problem has been solved

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