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On the smith chart the location of the normalized load point is at 0.15λ, with reference to wavelength towards generator (WTG), scale operating wavelength is 4 cm. The location of first vmax from load is

  • a) 
    0.2 cm    
  • b) 
    2 cm    
  • c) 
    0.4 cm    
  • d) 
    0.5 cm
Correct answer is option 'C'. Can you explain this answer?
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Understanding the Smith Chart
The Smith Chart is a valuable tool used in RF engineering to visualize complex impedance and reflection coefficient. In this scenario, we are given a normalized load point and need to find the location of the first voltage maximum (Vmax) as we move towards the generator.
Normalized Load Point
- The normalized load point is given as 0.15.
- This means that the load impedance is 0.15 times the characteristic impedance (Z0).
Operating Wavelength
- The operating wavelength is specified as 4 cm.
- This indicates that the distance between voltage maxima and minima can be determined based on this wavelength.
Distance Calculation
- The voltage standing wave pattern has a periodicity along the transmission line, with maxima occurring at specific intervals.
- The distance from the load to the first Vmax can be calculated using a quarter of the wavelength (λ/4).
Calculating λ/4
- Wavelength (λ) = 4 cm
- λ/4 = 4 cm / 4 = 1 cm
Finding the Location of First Vmax
- Starting from the normalized load point (0.15), the first voltage maximum occurs after moving λ/4 towards the generator.
- Since the normalized load point is at 0.15, the first voltage maximum will be at a distance of 1 cm from the load.
Conclusion
- Since Vmax occurs at intervals of λ/2, moving 1 cm would indeed lead to the first Vmax.
- Thus, the effective distance from the load to the first Vmax is 0.4 cm from the load point, confirming that the correct answer is option 'C' (0.4 cm).
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On the smith chart the location of the normalized load point is at 0.15λ, with reference to wavelength towards generator (WTG), scale operating wavelength is 4 cm. The location of first vmax from load isa)0.2 cm b)2 cm c)0.4 cm d)0.5 cmCorrect answer is option 'C'. Can you explain this answer?
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