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TPS2456: Query Regarding use of TPS2456RHHT for 12V Oring

Part Number: TPS2456

 We are planning to use TPS2456RHHT for 12V Oring in our design with total current at 12V output as 10A. We need a backup time(Dying Gasp) of 10ms when both input 12V are decreasing to 0V. What capacitance (Back up capacitance) will be required at the output of TPS2456RHHT in order to support this 10ms. Kindly clarify this.

DETAIL DESCRIPTION : 

Actually we need "Dying Gasp" time of 10ms. That means when input supply goes down then the BACK UP CAP at the output of this device should be able to provide supply for 10ms so that other point of loads in my design (12V to 1v, 12 to 3.3v, 12v to1.8v etc) are functional for this extra 10ms. So as per my calculation we can calculate value of backup CAP using this : i=C(dv/dt). In our case i(load required is 10A, dt=10ms,dv=(12-4.5)V, and we need to calculate value of C in this . 'C' comes out as : 13,333uF. Kindly provide your suggestion on this calculation, is this calculation correct. PFA attached snapshot showing pictorial view of our design. We need to know how much is BACKUP CAP Required to provide backup time of 10ms if we use TPS2456RHHT for 12V Oring in our design.