Wiring a capacitor to start a motor begins with the connection of the positive terminal of the motor to the resistor. Take one terminal of the resistor, and connect it to the capacitor. Read the wiring diagram on your appliance to understand the colors that the manufacturer designed for the three connections, namely, start, run and common. Locate the negative terminal of the capacitor, and attach it to a switch.
The start connection commands a series of connections up to its winding. If the motor has a switch on the rotor with a pair of connections that are closed when the motor is not running, take one wire and put it on the start cap, and then connect the cap to that contact. Open and close the switch repeatedly to see if it works.
Ensure that the negative terminal is attached correctly to a switch before attempting a trial. In some capacitors, the black wire is connected to neutral while the brown wire is connected to the active, leaving the blue wire to go to one part of the run cap. The other part of the cap goes to the active and brown wire. Run the connection for a short time with one hand on the power switch and watch for smoke.