A rectifier type instrument uses a bridge rectifier and has its scale calibrated in terms of rms value of a sine wave. It indicates a voltage of 3.33 V when measuring a voltage of a triangular wave shape. Calculate the peak value of the applied voltage?

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SSC JE Electrical 9 Oct 2023 Shift 3 Official Paper-I
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  1. 6.66 Volts
  2. 6 Volts
  3. 9 Volts
  4. 9.99 Volts

Answer (Detailed Solution Below)

Option 2 : 6 Volts
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Detailed Solution

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Concept

For triangular wave shape, the peak value of voltage is:

\(V_m=2V_{avg}\)

If the meter is calibrated in terms of RMS value, then the average value is given by:

\(V_{avg}={V_o\over FF}\)

The form factor of the bridge rectifier is 1.11

Calculation

The meter uses a full wave rectifier circuit which indicates the value of 3.33 V. The form factor for full wave rectified sinusoidal waveform is 1.11 

\(V_{avg}={3.33\over 1.11}=3\)

Peak voltage, \(V_m=2\times 3=6\space V\)

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