A coil with 3 ohms resistance between + and - posts is a direct 12 volt coil and does not require an external resistor. In fact, it will likely have hard starting and poor running problems if one is added. A coil with 1 1/2 ohms between + and - can be labeled either 6 volt or "12 volts external resistor required". For 12 volt system it requires an external resistor with resistance approximately equal to resistance of the coil. This is to limit current and prevent burning of points and overheating the coil. With points open, either coil should read near battery voltage at input side and output to side of the distributor. With points closed a Direct 12 volt coil (3 ohm) should read near battery voltage at input and near zero volts at coil to side distributor wire. With points closed, a 1 1/2 ohm coil with resistor in 12 volt system should read near battery at input to the resistor, approximately half battery voltage at input to the coil, and near zero volts between output of coil and side of distributor. In reality, there is no separate resistor inside of a 3 ohm coil. The coil is a transformer with one side of primary and one side of secondary (high voltage side) tied together. The primary resistance is determined by the type of wire and number of turns used. Coil in the picture appears to me to be blue with gray over spray. I'd not be surprised if it is a 3 ohm direct 12 volt coil.
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