*P5.12. Calculate the rms value of the half-wave rectified sine wave shown in Figure P5.12 D. v(1) V 5 sin(271) T = 1 0.5 1.0 1.5 Figure P5.12

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**P5.12.** Calculate the rms value of the half-wave rectified sine wave shown in Figure P5.12.

### Figure Explanation:
The figure displays a time-domain graph of a half-wave rectified sine wave, where the vertical axis represents voltage \( v(t) \) in volts and the horizontal axis represents time \( t \). The waveform is described by the equation \( 5 \sin(2\pi t) \) and has a period \( T = 1 \).

### Graph Description:
- The waveform begins at 0 volts, rises to a peak of 5 volts, returns to 0 volts, and repeats.
- This cycle occurs twice across the time intervals shown, at approximately \( t = 0.5 \) and \( t = 1.5 \). 
- The positive halves of the sine wave are clearly visible, while the negative halves are absent due to the half-wave rectification process.

### Task:
Determine the root mean square (RMS) value of the given half-wave rectified sine wave.
Transcribed Image Text:**P5.12.** Calculate the rms value of the half-wave rectified sine wave shown in Figure P5.12. ### Figure Explanation: The figure displays a time-domain graph of a half-wave rectified sine wave, where the vertical axis represents voltage \( v(t) \) in volts and the horizontal axis represents time \( t \). The waveform is described by the equation \( 5 \sin(2\pi t) \) and has a period \( T = 1 \). ### Graph Description: - The waveform begins at 0 volts, rises to a peak of 5 volts, returns to 0 volts, and repeats. - This cycle occurs twice across the time intervals shown, at approximately \( t = 0.5 \) and \( t = 1.5 \). - The positive halves of the sine wave are clearly visible, while the negative halves are absent due to the half-wave rectification process. ### Task: Determine the root mean square (RMS) value of the given half-wave rectified sine wave.
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