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Class 4 (4th Engineer) MET 📅 Oct 2023

Exam Question

The following are the results of measurements taken at intervals over a half cycle of alternating voltage:

Time (t milliseconds) 0 0.45 0.95 1.5 2.1 2.5 3.1 3.9 4.5 5.0

Voltage (V volts) 0 20 36 40 37.5 33 32 31 20 0

Calculate the r.m.s. value, average value and frequency of the wave. (16)

Exam question diagram

Reference Answer

### **Objective**
To calculate the r.m.s. value, average value, and frequency of the given alternating voltage waveform using the provided discrete time-voltage data points.
### **1. Frequency Calculation**
**Concept:** The frequency (f) of a periodic waveform is the reciprocal of its time period (T). The data provided covers one half-cycle of the waveform.

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