If you have a DC/DC converter or voltage regulator to get the 3.3V for the ESP8266, then connect the power supply's 5V terminal to the ESP8266 bridging through the 5V to 3.3V DC/DC converter or connect the 3.3V from the 3.3V power supply to the VCC of ESP8266:
If you are using two power supplies (5V and 3.3V) make sure you connect their grounds together.
Be careful to connect the -ve on the capacitor to the ground and +ve to the +ve on the power supply. If you connect it in reverse, the capacitor will blow up. Most capacitors have a dash symbol to mark the negative wire. The positive leg is often longer than the negative ...
