(a) By how many percent is the torque of a motor decreased...

(a) By how many percent is the torque of a motor decreased if its permanent magnets lose $5.0 \%$ of their strength? (b) How many percent would the current need to be increased to return the torque to original values?

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Key Concepts

Compensatory Adjustments in Engineering Systems

When a key parameter like magnetic field strength is reduced, compensatory measures—such as increasing the current—can be used to restore the desired system performance. This requires an understanding of the inverse relationship between the diminished factor and the necessary adjustment to maintain the original output.

Percentage Change Calculations

Calculating percentage changes involves determining the relative difference between the original and altered values. This concept is crucial in engineering when quantifying performance variations, such as how a 5% reduction in one component affects overall performance.

Torque in Electric Motors

Electric motor torque is generated by the interaction between the magnetic field and the electric current. The torque is typically proportional to the product of the magnetic field strength and the current, meaning that any change in one of these factors alters the torque in a corresponding manner.

Magnetic Field Strength and Permanent Magnets

Permanent magnets provide the constant magnetic field required for motor operation. A decrease in the magnet's strength results in a proportional drop in the magnetic field, directly affecting the motor's ability to generate torque.

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