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Class 4 (4th Engineer) MET 📅 Aug 2023

Exam Question

(a) Describe the principle of variable-capacitance transducer.

(b) A coil of resistance 10 Ω and inductance 100mH is connected in series with two parallel capacitors each of value 100 µF across a 250 V, 50Hz supply. Determine (10)

(i) The circuit current

(ii) The total power factor

(iii) The power taken from the supply

Exam question diagram

Reference Answer

### (a) Principle of Variable-Capacitance Transducer
A variable-capacitance transducer is an instrument that converts a physical quantity (measurand) such as pressure, displacement, or force into a change in capacitance. The principle is based on the formula for a parallel plate capacitor:
$$ C = \frac{\epsilon_0 \epsilon_r A}{d} $$
Where:

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