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Class 4 (4th Engineer) MET 📅 Aug 2022

Exam Question

(a) Describe the effect of running an induction motor on reduced voltage. (6)

(b) A 90V d.c. generator is used to charge a battery of 40 cells in series, each cell having an average e.m.f.of 1.9 V and an internal resistance of 0.0025Ω. If the total resistance of the connecting cells is 1Ω, calculate the value of the charging current. (10)

Reference Answer

### (a) Effects of Running an Induction Motor on Reduced Voltage
Running an induction motor on reduced voltage has several critical effects on its performance characteristics, directly impacting its operational efficiency, reliability, and capability. A detailed breakdown is as follows:
* **Reduction in Magnetic Flux Density**: The rotating magnetic field (RMF) generated in the stator is directly proportional to the applied voltage and inversely proportional to the frequency. A reduction in the applied voltage will proportionally decrease the magnetic flux density ($$ \Phi $$) in the air gap. This is a fundamental change, as the motor's ability to produce torque is directly linked to this flux.
$$ \Phi \propto \frac{V}{f} $$

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