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Unit of wave number (beta) is
rad-km
rad-cm
rad/cm
rad/km
rad/cm
The wave number, denoted by ╬▓ and also known as the phase constant, represents the phase shift per unit length in a transmission line. Its SI unit is radians per meter (rad/m), which translates to radians per centimeter (rad/cm) in standard engineering calculations depending on the specified scale.
The wave number, denoted by ╬▓ and also known as the phase constant, represents the phase shift per unit length in a transmission line. Its SI unit is radians per meter (rad/m), which translates to radians per centimeter (rad/cm) in standard engineering calculations depending on the specified scale.
╬▓=╧ЙLCтАЛ тАФ Relationship between phase constant, frequency, and line parameters
╬╗=╬▓2╧АтАЛ тАФ Relationship between wavelength and phase constant
In transmission lines and power systems, the propagation constant ╬│ is defined as ╬│=╬▒+j╬▓. Here, ╬▒ is the attenuation constant (Neper/unit length) and ╬▓ is the phase constant (rad/unit length), characterizing the spatial frequency of the wave as it travels along the medium.
The phase constant ╬▓ measures the phase shift per unit length of a wave.
It is a fundamental parameter in the design of long transmission lines and FACTS devices.
Higher values of ╬▓ indicate a shorter wavelength for a given frequency.
Essential for calculating surge impedance loading.
Critical for analyzing power flow and reactive power compensation in FACTS.
High sensitivity to line temperature variations.
Depends on the operating frequency of the power system.
Transmission line surge analysis.
Design of phase shifting transformers (FACTS).
The standard SI unit is rad/m, but rad/cm is frequently used in power system engineering literature.
Option A and B are incorrect as they define phase multiplied by length, which lacks physical meaning in wave propagation context.
C is correct тАФ The unit of wave number (╬▓) is radians per unit length, expressed here as rad/cm.
Always verify the units in your given data; transmission line problems often mix km and cm, leading to common errors in calculations involving ╬▓ and line length.