# The coefficient of reflection of voltage for a short-circuited line is:

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The coefficient of reflection of voltage for a short-circuited line is:

1. 1.0
2. 0
3. -1.0
4. 2.0

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Correct Answer - Option 3 : -1.0

Formulas for the Coefficients of reflection and refraction are as follows

${v_{refraction}} = \frac{{2{Z_L}}}{{{Z_L} + {Z_C}}}$

${v_{reflection}} = \frac{{{Z_L} - {Z_C}}}{{{Z_L} + {Z_C}}}$

${i_{refraction}} = \frac{{2{Z_C}}}{{{Z_L} + {Z_C}}}$

${i_{reflection}} = \frac{{{Z_C} - {Z_L}}}{{{Z_L} + {Z_C}}} = - {v_{reflection}}$

Where, ZL = Load impedance, ZC = Characteristic or Surge impedance of the line.

These coefficients values for open circuit, short circuit, and flat lines are given as

 Open circuit line (ZL = ∞) Short circuit line (ZL = 0) Flat line (ZL = ZC) vrefraction 2 0 1 vreflection 1 -1 0 irefraction 0 2 1 ireflection -1 1 0

so, the coefficient of reflection of voltage for a short-circuited line is: -1