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N83/II/24: 
 
 
 
The circuit on top represents a bridge rectifier arrangement for a voltmeter to measure alternating voltages. The graph beside the diagram shows the variation over one cycle of potential of X with respect to Y. 

Which one of the graph below best represents the corresponding variation of the potential of X with respect to Z?

  
Solution: 
  
 

Ans: A  

When potential across X is positive with respect to Y, current is flowing from X to Y, thus path of current is from X to Z then through the resistor and voltmeter to Y. And there is no potential difference between X and Z (forward bias, resistance of diode is negligible). Therefore when the potential across X is positive with respect to Y, there is no potiential difference between X and Z. Thus answer B, C, D, E is not correct. When the potential across X is negative with respect to Y, current will move from Y to Z then through the resistor and voltmeter and to X. Thus Z is at higher potential then X, and the graph of potential of X with respect to Z, when potential of X with respect to Y is negative, is negative. 
 

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