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TPA2011D1: Asking for the TPA2011 effiency measurement without inductor conditions

Part Number: TPA2011D1

Hi Team,

customer has question about TPA2011's efficiency measurement without inductor.
The efficiency that customer perform without 33uH  is only 59%.

In TPA2011 d/s, efficiency is 88% under conditions 2W/4Ω +33uH, Vdd=5V.

Questions:
1. Do you think that loading RL=4Ω without 33uH inductor measurement can resulted in the lower efficiency?

2. Customer would like to know why efficiency is difference between RL=4Ω +33uH, RL=4Ω ??
Is that right to explain as below , could you please help to make sure whether it is right as below ?
Z=√(R²+X²)=√(4²+XL²)
XL=ωL=2πf*33uH=62.201Ω(f=300KHz)
∴Z=√(4²+62.2²)=8.84Ω
P=V²/R
If R(4Ω +33uH)= 8.84Ω is bigger than R=4Ω resistor
∴P (4Ω +33uH ) will be less than P(4Ω). So efficiency(4Ω +33uH ) is better than efficiency (4Ω)

Efficiency experiment
Condition as below Play -3dB sine wave , Vdd=5.12V ,Gain=3.14 ,R=4Ω (resistor)
1. Input signal voltage =0.707 Vrms , Gain=3.14
2. Output voltage =2.22Vrms
3. Output power= V²/R=2.22²/4ohm=1.23W (speaker)
4. Pin=V*I= 5.12V *0.407A=2.084W (when play -3dB sine wave ,TPA2011 input power )
5. Efficiency =1.23W/2.084W=0.59 =59%


Thanks,
SHH