Why do we use 50 ohm and 75 ohm resistors in cables?

Answered by Tom Adger

The use of 50 ohm and 75 ohm resistors in cables is determined by the specific requirements of the signal being transmitted. These resistors are commonly used in communication systems to match the impedance of the transmission line to the source and load impedance.

Impedance matching is essential to ensure maximum power transfer and minimize signal reflections. When the impedance of the transmission line matches the impedance of the source and load, the signal is efficiently transferred without any loss or distortion.

Let’s start with the 50 ohm resistor. This value of impedance is commonly used in radio frequency (RF) communication systems, such as two-way radios and wireless devices. The choice of 50 ohms is mainly a compromise between maximizing power transfer and voltage standing wave ratio (VSWR).

Power transfer is optimized when the source, transmission line, and load impedances are all matched. In RF systems, the characteristic impedance of the transmission line is typically 50 ohms. Therefore, using a 50 ohm resistor as the load impedance allows for maximum power transfer.

In addition to power transfer, VSWR is another important consideration in RF systems. VSWR measures the ratio of the maximum voltage to the minimum voltage along a transmission line. A lower VSWR indicates less signal reflection and better signal integrity.

A 50 ohm transmission line is designed to minimize VSWR when terminated with a 50 ohm load. If a different impedance load is used, such as 75 ohms, there will be a mismatch and the VSWR will increase. This can lead to signal reflections, loss of power, and degradation of the signal quality.

Now let’s move on to the 75 ohm resistor. This impedance value is commonly used in video and television applications, such as TV antennas and cable TV systems. The choice of 75 ohms is primarily based on the desire to minimize signal attenuation.

Attenuation refers to the loss of signal strength as it travels along a transmission line. Higher impedance lines generally exhibit lower attenuation for a given length of cable. Therefore, using a 75 ohm transmission line can help reduce signal loss and maintain signal quality over longer distances.

Furthermore, 75 ohms is the characteristic impedance of coaxial cables commonly used in video applications. Coaxial cables consist of a central conductor surrounded by a dielectric insulator, which is further enclosed by an outer conductor or shield. The geometry of the coaxial cable, along with the 75 ohm impedance, helps to minimize signal loss and interference.

The choice between 50 ohm and 75 ohm resistors in cables is based on the specific requirements of the signal being transmitted. The use of a 50 ohm resistor is preferred in RF communication systems to optimize power transfer and minimize VSWR. On the other hand, a 75 ohm resistor is commonly used in video applications to minimize signal attenuation and maintain signal quality.