This calculator determines the value of resistor R1 for a symmetrical attenuator according to the desired attenuation (in dB) and the characteristic impedance (Z0). It is used to adjust signal levels while maintaining good impedance matching in RF and microwave circuits.
Formula
R1 = Z0 × [1 / (10 (dB/20) − 1)]
Explanation of the formula
This equation calculates the resistance R1 necessary to obtain accurate attenuation while maintaining network symmetry. The attenuation in decibels is converted to a linear ratio and then used to determine the value of R1 based on the characteristic impedance of the system. The higher the attenuation, the more the resistance R1 increases.
Uses of the calculator
- Design of balanced attenuators in RF and microwave systems.
- Regulation of signal levels in amplifiers and analyzers.
- Maintaining impedance matching between stages of a circuit.
- Practical tool for engineers and technicians working in high frequency electronics.