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Cable and treble damping treble cut filter (low pass) Simplified principle C = Cspec · d |
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A frequently asked question is at which cutoff frequency has the microphone cable a treble loss of (−) 3 dB? Cables are characterized by the capacity of the cable between the leaders, the resistance, inductance of the cable along the leader, and the current crowding, which boost the resistance at high frequencies. The microphone cable usually has a capacitance from wire to wire of about 100 pF per meter. The line resistance, and the inductance is usually negligible in practice. Each wire has an unavoidable cable capacitance, that leads to the damping of high frequencies (cable loss). Because the input resistance (load) is large against the small output resistance (source), the load can be neglected. |
Calculating the treble cutoff frequency of a cable
| Zout = Output impedance of microphone, source impedance |
| Cspec = Specific capacitance of the cable in pF per m cable lenghth |
| d = Length of the cable in m C = Cspec · d |
| Formula for the cutoff frequency of the treble damping: |
Another frequently asked question is of how long can the microphone cable be,
without having treble loss?
Calculation of the length of a cable at 3 dB treble attenuation
| Formula for the length of the cable for a given cutoff frequency: |
| fc = Cutoff frequency at (−)3 dB treble loss |
| Zout = Output impedance of microphone, source impedance |
| Cspec = Capacitance in pF per m cable lenghth C = Cspec · d |
| If you want to know how long the cable can be and permit a level damping of only 1 dB, you need to enter the double value of the cutoff frequency. |
| Cable characteristic impedance is a cable characteristics which is only valid for high frequency signals. Multimeters use DC current for resistance measurements, so you cannot measure the cable impedance using your multimeter or other simple measurement equipments. |
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