Find the RMS value of the given current waveform.

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SSC JE EE Previous Paper 11 (Held on: 24 March 2021 Morning)
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  1. I = 12.5 A
  2. A
  3. I = 25 A
  4. A

Answer (Detailed Solution Below)

Option 2 : A
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Detailed Solution

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Concept:

For a periodic waveform given by x(t) with the fundamental period as ‘T,’ the RMS value is defined as:

Calculation:

Sequence is repeating at time period of T = 4 sec.

∴ x(t) = ( 50 / 4) t = 12.5 t

Where x(t) is the function of the curve between 

RMS value of waveform, 

 

Thus, rms current A

Additional Information

The term RMS ONLY refers to time-varying sinusoidal voltages, currents, or complex waveforms where the magnitude of the waveform changes over time.

RMS value is defined as the “amount of AC power that produces the same heating effect as an equivalent DC power".

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