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

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Open-circuit voltage = V1   volts
Load resistance = RLoad   ohms 
Loaded circuit voltage = V2   volts
                
 Output Impedance = ZSource   ohms
Output impedance    
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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 measueΩ 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 / 8      U = 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 to: Ri = R / 9.
 
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 measured 1 Ohm, then Ri = 0.11 Ohm.

Input Impedance Measurement Calculator

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Generator signal = V1   volts
 Series resistance = RTest   ohms 
 Signal after resistor = V2   volts
 Input impedance = ZLoad   ohms
Input impedance    
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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 measueΩ 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.

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