Step 1: The power cord should be disconnected from the electrical outlet.
Step 2: The coil switch should be identified and the fasteners holding it in position should be unscrewed.
Step 3: The current switch should be gently extracted from the cooktop. Needle-nose pliers might need to be used to detach the two wires. It should be noted which wire connects to which terminal.
Step 4: The new switch should be placed. First, the two wires should be connected to the terminals, ensuring they are attached in the same manner as with the previous switch. The switch should be fastened securely with the screws.
Step 5: The power cord should be reconnected to the outlet and the cooktop should be verified to function correctly with the new switch.
Please note that these instructions should serve as general guidance and should always be used alongside the manufacturer's manual, if available.