Calculation of relevant factors of sound reinforcement system

1. Calculation of maximum power capacity and maximum voltage capacity

* Formula 1: Maximum voltage capacity V = √Maximum power W & TImes; load impedance Ω

* Formula 2: Maximum power capacity W = maximum voltage V2 & TImes; load impedance Ω

If the maximum continuous power of a speaker (AES / ANSI) and the marked load impedance are known, the maximum voltage of this speaker can be calculated. For example, the maximum power of speaker A is 600W RMS (ES / ANSI), the impedance is 8Ω Set the maximum output voltage value of the power amplifier through the system's compressor or speaker controller, protect the A speaker, and put the relevant data into formula 1:

Maximum voltage capacity V = √600W & TImes; 8Ω

= √4800

= 69.28V

It can be concluded that when the 69.28 V voltage is added to the 8Ω load impedance, it can produce a maximum power of 600W RMS, so we must set the maximum output voltage value of the power amplifier on the compressor or speaker controller to not exceed 69.28 V to effectively protect The A speaker will not burn out.

2. Calculation of power amplifier voltage gain

* Formula 3: Voltage gain = output voltage V / input voltage V

The gain is determined by the relationship between the input and output of the audio circuit. The gain is expressed as a multiple (& TImes;), or expressed in units of dB. If we want to know the gain of a power amplifier (called voltage gain), we must know the input signal Level and its corresponding output signal level. For example, it is known that the signal level input from the front stage of the system to the A amplifier is 0.775V, and the output signal is 31V. Putting the relevant data into Equation 3 can know the voltage gain of the A amplifier:

Voltage gain = output voltage V / input voltage V

= 31V / 0.775V

= 40 × (times)

As another example, it is known that the signal level input from the front stage of the system to the B amplifier is 0.5V, and the output signal is 20V. Putting the relevant data into Equation 3 can also know the voltage gain of the B amplifier:

Voltage gain = output voltage V / input voltage V

= 20V / 0.5V

= 40 × (times)

Note that from the above two examples, it can be seen that the voltage gain of the two power amplifiers of A and B is the same as 40 ×, so the voltage gain has nothing to do with the size of the input signal.

* Formula 3: Voltage gain = output voltage V / input voltage V

The gain is determined by the relationship between the input and output of the audio circuit. The gain is expressed as a multiple (×), or expressed in units of dB. If we want to know the gain of a power amplifier (called voltage gain), we must know the input signal level. Equalize its corresponding output signal level. For example, it is known that the signal level input from the front stage of the system to the A amplifier is 0.775V, and the output signal is 31V. Putting the relevant data into Equation 3 can know the voltage gain of the A amplifier:

Voltage gain = output voltage V / input voltage V

= 31V / 0.775V

= 40 × (times)

As another example, it is known that the signal level input from the front stage of the system to the B amplifier is 0.5V, and the output signal is 20V. Putting the relevant data into Equation 3 can also know the voltage gain of the B amplifier:

Voltage gain = output voltage V / input voltage V

= 20V / 0.5V

= 40 × (times)

Note that from the above two examples, it can be seen that the voltage gain of the two power amplifiers of A and B is the same as 40 ×, so the voltage gain has nothing to do with the size of the input signal.

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