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Class 4 (4th Engineer) MET 📅 Mar 2023

Exam Question

(a) Describe the measures to be taken and the effect on various outputs when running a 60Hz system on a 50Hz supply (6)

(b) A series circuit consists of a capacitor of 50µF and a coil of inductance 1.5H and resistance of 300 ohms. Find the total impedance when working on a 50Hz supply. Find whether the current leads or lags the voltage (10)

Reference Answer

### (a) Measures and Effects of Running a 60Hz System on a 50Hz Supply
Operating electrical equipment designed for a 60Hz supply on a 50Hz supply requires careful consideration due to changes in fundamental electrical properties. The effects are most pronounced in inductive devices like motors and transformers.
**Core Principle: Voltage/Frequency (V/f) Ratio**
The magnetic flux density (B) in the core of an induction motor or transformer is directly proportional to the voltage and inversely proportional to the frequency ($$B \propto V/f$$). To avoid magnetic core saturation, which leads to excessive eddy currents, hysteresis losses, and rapid overheating, the V/f ratio must be maintained. When frequency is reduced from 60Hz to 50Hz (a reduction of 16.7%), the voltage must be reduced proportionally.

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