Measuring of input impedance and output impedance calculation calculate amplifier amp total loudspeaker speaker microphone resistance resistor bridging matching test load loudspeaker speaker source resistance - sengpielaudio
 
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Measurement of input impedance and output impedance
Impedance calculated with amplifier, loudspeaker and microphone
 
A resistance is a DC resistance, which can be measured with an ohmmeter. If there is a capacitor in the signal path you measure nothing. With a voice coil of a speaker you can measure a DC resistance. With a digital multimeter DMM resistances can be measured easily, but you cannot measure input impedances and output impedances. The capacitance and the resistance build as frequency-dependent form a complex resistance, the so-called impedance Z. The nominal impedance is in electrical engineering and electro-acoustic (audio), the frequency-dependent impedance at the input and / or at the output of an electrical device, which is specified in the middle frequency range at 1 kHz of a technical data sheet.
 
Output Impedance Measurement Calculator

start

Open-circuit voltage = V1   volts
Load resistance = RLoad   ohms 
Loaded circuit voltage = V2   volts
                
 Output Impedance = ZSource   ohms
Output impedance     Formula output impedance

Voltage measurement at the points at OUT:
 
V1 = Open-circuit voltage (Rload = ∞ Ω, that is without Rload, switch S is open)
Rload = Load resistance (Rtest is resistor to measure Ω value)
V2 = Loaded circuit voltage with resistor Rload = resistance RTest
Zsource = The output impedance can be calculated
 
 
When the voltage V2 is equal to half of V1, then the measured resistance
value Rload (that is Rtest) is equal to the output impedance Zsource.

 
 
ZSource = output impedance = source impedance = internal impedance.
 
The output impedance of a device can simply be determined. We use a
load resistance RLoad, to load the signal source impedance ZSource. The
output voltage is open initially without load as open-circuit voltage V1
(Switch is open, that means RLoad is infinity) and then measured as V2
under load with RLoad at point IN (Switch is closed). Then the found
values V1, RLoad and V2 are entered to calculate the output impedance.
The load resistance RLoad should not be too small, because the output is
too heavily burdened and should not be too large, as this will change the
voltage very little and leads to measurement errors. For output
impedance of a normal power amplifier to operate a speaker a RLoad
resistance of about 10 ohms is favorable.
For other line-level RLoad a resistance of 2 kilo ohms is useful.
 
Internal resistance of a power amplifier "Measuring the output impedance by means of a burden": Suppose there is a 100 watt amplifier. Then the output voltage at half power is P = 50 W = U2 / R.  Loudspeaker impedance = 8 ohms.     V = √(P × R) = √ (50 × 8) = 20 volts. (You can also use 10 V.) Give a sine voltage of 1 kHz to the amplifier input, until you get 20 volts at the output. Now we
apply the "90% method", that is you put an output resistance R, until there appears 90% of the open circuit voltage, in this case 18 volts. The internal resistance is then calculated with the 90% method:
 
The 90% method
Ri = R / 9

 

At the output fix an oscilloscope, because the wave form should not show any distortion.
For example, if R is measured1 Ohm, then Ri = 0.11 Ohm.

Input Impedance Measurement Calculator

start

Generator signal = V1   volts
 Series resistance = RTest   ohms 
 Signal after resistor = V2   volts
           
 Input impedance = ZLoad   ohms
Input impedance     Formula input impedance
 
Voltage measurement at the points IN or at OUT:
 
V1 = Generator signal voltage (at RS = 0 Ω, that is without series resistor RS)
RS = Series resistance (RTest is resistor to measure Ω value)
V2 = Voltage with series resistor RS = resistance RTest
ZLoad = The input impedance can be calculated

 
 
When the voltage V2 is equal to half of V1, then the measured
resistance value RS (RTest) is equal to the input impedance ZLoad.

 
 
ZLoad = input impedance = load impedance = external impedance = terminator

The input and output impedance of a four-terminal network can be determined by measuring the alternating current strength in amperes and the AC voltage in volts. The measurement of input impedance typically occurs as follows: The voltage is measured across the input terminals IN.
Then, the current in the circuit is done by the device in series with the signal generator. For circuits with high input impedance the current is very small and difficult to measure. R = U / I. Therefore, we choose for the measurement of high-impedance circuits, a better method. It puts a series resistor RS in the input circuit. First, we measure the input of the device at point IN with V1, the AC voltage, if the resistor RS = 0 Ohm.
Then we measure the RS series resistor, the voltage V2. Then these found valuesV1, RS and V2 is entered in the above calculator to find the input impedance to be calculated. Search for a suitable measuring resistance value RS. For typical audio equipment that will be about 10 to 100 kilo-ohms.

 
You can use the digital voltmeter instead at the measuring point IN and
at point OUT to measure because the amplifier delivers an output voltage that is proportional to the voltage at its input.

The impact of input impedance and output impedance of
studio gear for bridging in audio engineering −
Zsource << Zload

Amplifier, Loudspeaker, and Ohms - How do they work together?
Calculations: voltage divider or potentiometer − Loaded and open circuit (unloaded)
Bridging (voltage) or matching (power) − Interface connecting Zout and Zin impedance
Voltage bridging or impedance bridging Zout < Zin − Interconnection of two audio units
Cable length, cable capacitance, and treble loss (Attenuation, cutoff frequency)

Impedances of analog audio engineering for
impedance bridging or voltage bridging
Zsource << Zload

Studio parts Output impedance
Zsource
Input impedance
Zload
Microphone 35 Ω to 200 Ω
Microphone preamplifier 1 kΩ to 2 kΩ
Power amplifier 0.01 Ω to 0.1 Ω
Loudspeaker 2 Ω to 16 Ω
Studio gear (mixer) 40 Ω 10 kΩ to 20 kΩ
 
Fortunately, there are no amplifiers with an output impedance of 4-ohm or 8-ohm which have to fit to speakers with these values.
We have no impedance matching (power matching), we use impedance bridging (voltage bridging), whereby the power amplifier often has an output impedance of only one hundredth of the speaker's input impedance.
 
At power amplifiers for musicians usually you can read at the output plugs: 4 ohms to 8 ohms − to tell the user that only a 4-ohm speaker or an 8-ohm speaker has to be used and not to give the "correct" output impedance value, which is around 0.1 ohms. This is often not known by users.
 
Aha!
 
The word "power amplifier" is a misnomer. Power is not really something that can be "amplified". Voltage and current can be amplified. The term "power amplifier" although technically incorrect has become understood to mean an amplifier that is intended to drive a load such as a loudspeaker.
We call the product of current and voltage gain just "power amplification".
The total energy within a closed system due to the conservation of energy
is neither increased nor decreased.

 
 
Loudspeaker input impedance Zin = DF × Zout
Amplifier output impedance Zout = Zin / DF
Damping factor DF = Zin / Zout

Output impedance Zout = input impedance Zin / damping factor DF

Please enter two values, the third value will be calculated.

Source impedance (output impedance) Zout Ohm  Source load and damping factor
Load impedance (input impedance) Zin Ohm 
Damping factor DF    −
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