My concern, and it's probably a misunderstanding, is that a RC circuit "returns" to its previous state at some point. What's to stop the circuit from retriggering? As long as it goes high and stays high, a RC circuit would be ideal. Looking at the datasheet for the switching regulator I'm going to use, it takes roughly 375uS to stabilize. A 500uS delay would be perfectly fine.
The capacitor is charged by the (in my example) 5V rail, through the resistor. The rate at which a capacitor charges is a function of the current flowing into it.
Suppose we use a 1μF capacitor and a 10kOhm resistor. At t=0s, the capacitor is at 0V, so the resistor sees the entire 5V. Ohm’s law tells us that the current flow at t=0s is 5V/10kOhm=0.5mA. As the current charges the cap, the cap’s voltage rises, so the resistor’s voltage drops accordingly, which in turn means the current shrinks. This gives us the exponential curve shown. (And it’s technically an asymptote, since in theory the cap will never quite charge to the full 5V, as the ever-shrinking voltage across the resistor means the charging current also shrinks.) But in practice we can say that it does charge fully, and this is defined as 5τ (5 Tau), where τ is the RC time constant, that is, R x C. That is the time it takes to charge to 63% of the supply voltage. Here that’s 10kOhm x 1μF = 10ms. So that means that in 1 τ (10ms), the cap will charge to 0.63x5V = 3.15V, and that it’ll charge to ≈5V in 50ms.
Now, since the supply voltage hasn’t been removed — we’re charging the cap with the 5V supply, not a signal — it’ll stay charged at 5V indefinitely. The capacitor charging simply delays the EN line reaching 5V (or 0V, depending on which of the two circuits you use) by a fraction of a second.
Bear in mind that you may not even need the delay. If you don’t care about the outputs being active while the power supply settles, you can just tie OE to your supply with a pull-up resistor.
But if you do: while the recommended “high” input for OE is V
CCA x 0.67 minimum, it’s probably more sensitive in practice and may well trigger at lower voltages, so I’d give it some margin, let’s say V
CCA x 0.5.
Charging to 0.5x the voltage happens in 0.7 τ.
500μs/0.7 = 714μs
So let’s just round that up to 1ms.
For example, using a cheap, ubiquitous 100nF cap:
τ = RC
so R = τ/C
1ms / 100nF = 10kOhms
Heck, design your PCB to have the 100nF cap and 10k resistor, and you can just test it with only the resistor populated (i.e. your pull-up, with no delay) and if you’re not happy, solder in the cap.