1000 µF bulk decoupling with 40 mOhm ESR
The TPSE108K004R0040: The 40 mOhm equivalent series resistance (ESR) is the figure that governs ripple current handling and transient response — a low ESR means the capacitor can absorb and deliver current pulses without excessive self-heating, which matters for decoupling a 4 V rail on a power supply output or a processor core.
Temperature range and voltage derating
The 4 V rating means it should be used on rails that stay below 3.2 V to 3.6 V after derating for reliability — standard practice for tantalum capacitors is to apply a 50% to 80% voltage derating factor to avoid field failures from surge current.