CRO II - To measure Phase shift between the two Sinusoidal Signal:Practical - BSc V SEM

Aim : To measure Phase shift between the two Sinusoidal Signal.

Apparatus : CRO (Cathode Ray Oscilloscope), Function Generator, cods, Resistance box, capacitance box etc
Formula :     Phase shift = tan^-1(1/2πf C R)
                       Phase shift = (Δ x/x) 360⁰
  where,                    

  C - Capacitance
  R - Resistance

 Δ x - Divisions (Peak of y signal to Peak of X signal)  
     x - Divisions (Peak to Peak of Y signal)

 f - Frequency from function Generator  

Diagram : (circuit)

Procedure : 

Calculation of Phase shift

1) Switch ON CRO , keep it in duel Mode.
2) Adjust Focus , intensity, can role knob and CH1, CH2 position knob to get two sharp horizontal trace on CRO.
3) Make connections as shown in figure.

4) Now set the time/div and v/div knobs of CH1 and CH2 to get suitable waveform.
5) Align both the sine waves of CH1 and CH2 for selected frequency from function Generator in the interval of 500 Hz.

6) Set the Sine wave on the screen of CRO for both the signals and measure Peak to peak distance between CH1 and CH2.( Δ x )

7) Take the peak to peak distance of CH1's sign wave as x.

8) Multiply the ratio above readings by 360⁰. We get calculated Phase Shift.

9) Take the theoretical value of Phase shift. We get theorotical Phase Shift.

10) Finally check whether this calculated value of  phase shift is matched with the theorotical Phase Shift or not.
11) Repeat the above procedure for another combination of R and C.

Observation Table : 

Sr. No.	Applied Frequency (F.G.)	R	C	Δ x	x	Phase shift = tan-1 (1/2πf C R)	Phase shift = (Δ x/x) 3600
1.
2.
3.
4.
5.

Table : Calculation of Phase Shift

 Result : The Practical values of  Phase Shift and the theoretical Phase Shift are in good agreement or different combinations of f, C, R.

Precautions :1) Do not use CRO in dusty condition.2) The knobs of CRO are in released Position.3) Do not increase the brightness of CRO, it not necessary.