(a) Explain the significance of the root mean square value of an alternating current or voltage wave form; Define the form factor of such a wave form
(6)
(b) Draw the circuit of Half-wave rectifier and its output waveform. A diode whose internal resistance is 20 Ω is to supply power to 1000 Ω load from 110 V (RMS) source. Calculate
(10)
(i) peak load current,
(ii) DC load current,
(iii) AC load current
Reference Answer
### Part (a): RMS Value and Form Factor **(i) Significance of the Root Mean Square (RMS) Value** The Root Mean Square (RMS) value of an alternating current or voltage is its effective value. Its significance lies in providing a direct comparison between AC and DC power delivery. * **Heating Effect Equivalence**: The RMS value of an AC current is defined as the equivalent steady DC current that would produce the same amount of heat (power dissipation) in a given resistance over a complete cycle. This is the most critical aspect for power calculations and component rating.
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