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Reflection coefficient of a short circuited line is
1
1
0.5
Zero
1
The reflection coefficient (╬У) of a transmission line represents the ratio of the reflected voltage wave to the incident voltage wave at the load. For a short-circuited line, the load impedance (ZLтАЛ) is zero, resulting in a reflection coefficient of тИТ1, though in many simplified contexts of magnitude, it is stated as 1.
The reflection coefficient (╬У) of a transmission line represents the ratio of the reflected voltage wave to the incident voltage wave at the load. For a short-circuited line, the load impedance (ZLтАЛ) is zero, resulting in a reflection coefficient of тИТ1, though in many simplified contexts of magnitude, it is stated as 1.
╬У=ZLтАЛ+Z0тАЛZLтАЛтИТZ0тАЛтАЛ тАФ General reflection coefficient formula
╬У=тИТ1 тАФ Reflection coefficient for a short circuit (ZLтАЛ=0)
The reflection coefficient is defined by the formula ╬У=ZLтАЛ+Z0тАЛZLтАЛтИТZ0тАЛтАЛ. When the line is short-circuited, ZLтАЛ=0. Substituting this into the equation yields ╬У=0+Z0тАЛ0тИТZ0тАЛтАЛ=тИТ1. The magnitude тИг╬УтИг=1 indicates total reflection of the incident wave with a 180-degree phase shift.
A short-circuited line causes the total voltage at the load to become zero.
The reflected voltage wave cancels the incident voltage wave perfectly at the short circuit point.
For an open-circuited line (ZLтАЛ=тИЮ), the reflection coefficient is +1.
A matched line (ZLтАЛ=Z0тАЛ) results in a reflection coefficient of zero.
Used to identify faults in transmission lines via TDR (Time Domain Reflectometry).
Essential for understanding standing wave patterns on lines.
Results in maximum voltage stress at the source if line losses are low.
Causes potential standing wave issues which can damage sensitive equipment.
Transmission line fault detection.
Impedance matching circuits.
Stub matching for antenna systems.
The magnitude of the reflection coefficient for any passive load is тИг╬УтИгтЙд1.
The provided option A is interpreted as the magnitude тИг╬УтИг=1. Mathematically, the actual value is тИТ1.
A is correct тАФ The reflection coefficient for a short-circuited line is тИТ1, which has a magnitude of 1.
Remember: For a short circuit, voltage is zero (╬У=тИТ1), and for an open circuit, current is zero (╬У=+1).