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Class 4 (4th Engineer) MET 📅 Mar 2025

Exam Question

(a) Describe in detail the method used to measure the capacitance of a capacitor. (6)

(b) A circuit has a resistance of 3Ω and an inductance of 0.01 H. The voltage across its ends is 60V and the frequency is 50Hz. Calculate: (10)

(i) The impedance

(ii) The power factor

(iii) The power absorbed

Reference Answer

### (a) Detailed Method to Measure the Capacitance of a Capacitor
The capacitance of a capacitor, a fundamental electrical property, can be measured using various methods. A common and insightful method, particularly for demonstrating the underlying principles, is the RC (Resistor-Capacitor) Charging and Discharging Method using a DC power supply. This method leverages the time constant of an RC circuit.
**1. Concept and Principle of Measurement:**
* **Capacitance (C)**: The ability of a component to store electrical energy in an electric field. It is defined as the ratio of the charge (Q) stored on the plates to the voltage (V) across them ($$ C = Q/V $$). Its unit is the Farad (F).

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