for USA, Canada and countries running a 60 Hz supply service.
Hook the black to black, red to red, white to white, and green to bare. (Phase A to A, B to B, Neutral to Neutral, and Ground to Ground).
Your home probaly has type SE cable, two insulated conductors wrapped by a bare conductor in a single jacket. Connect the black conductor from the cook top to one of the insulated conductors, connect the red to the other. Connect the white and green ( bare) to the bare conductor in the SE cable.This is allowed by the code in older homes such as yours. It was never the intention of the code to make home owners tear out and replace wiring as they replaced equipment, even though some people would like you to think so.
As always, if you are in doubt about what to do, the best advice anyone should give you is to call a licensed electrician to advise what work is needed.
Before you do any work yourself,
on electrical circuits, equipment or appliances,
always use a test meter to ensure the circuit is, in fact, de-energized.
IF YOU ARE NOT ALREADY SURE YOU CAN DO THIS JOB
SAFELY AND COMPETENTLY
REFER THIS WORK TO QUALIFIED PROFESSIONALS.
The new cooktop has a 4 wire connection. Red & Black are hot. White is neutral, and green is ground. You existing panel is wired with 3 wires. Black & Red are hot and green is ground. There is no neutral wire. Connect the black to black, red to red, and then connect the white and ground together at the plug.
I assume you mean you are wiring a 220 volt circuit. You will install a 220 volt double pole breaker of the correct size for the circuit. An example would be for an electric dryer that requires a 30 amp double pole breaker wired with 10/3 wire. You connect the Red & Black wires to the breaker. One on each screw. You now connect the White wire to the neutral bus bar in the service panel. Then connect the bare copper ground wire to the ground bus bar in the service panel. At the dryer outlet connect the black & red to the hot screws, white to the neutral, and ground to ground. They will be labeled on the back of the outlet.
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