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