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TPS22965: miscellaneous questions

Part Number: TPS22965

Hello,

My customer has some questions about TPS22965 as follows.

Q1:
When ON changes from high to low, it is guaranteed that the FET between VIN and Vout always gets off before the FET between Vout and GND gets on under all PVT variations regardless of external component values?

Q2:
They would like TI to estimate tr with the following conditions.
Vin=Vout=Vbias=3.3V
CL=200uF
RL=10Kohms/100Kohms(Though RL gets <10ohms during normal operation, but at startup, the load does not consume such large current.)
CT=1000pF
Ta=2oC

Q3:
At their app, CL is 200uF.
Though datasheet recommend CIN/CL = 10/1, CIN =2000uF is too large to fit their PCB size.
Instead, they would like to put an external power diode between Vout and Vin in parallel with the body diode to protect it. Does TI have any comments on this?

Best regards,

K.Hirano