Four different lamps will be turned on and off with separate burning and extinguishing buttons. Each lamp will not work unless the previous lamp is lit. In other words, the 2nd lamp will not be lit unless the 1st lamp is lit, the 3rd lamp and the 3rd lamp will not be lit unless the 2nd lamp is lit. When the extinguishing button of any lamp is pressed, that lamp and all the following lamps will turn off. Create the ladder diagram.

This question involves understanding of electrical engineering, specifically ladder logic in PLC programming. Here, each lamp can be represented as a relay. The associated ladder diagram is constructed using NO and NC relay contacts controlled by the burn and extinguish buttons.

Explanation:

In electrical engineering, this is an example of a sequential ladder logic diagram, which is commonly used in PLC programming. Here, each lamp represents a relay. When the relay turns on (lamp lit), it allows the flow of electricity to the next relay (next lamp can be lit).

For creating the ladder diagram, we can represent each lamp by a combo of a NO (Normally Open) and NC (Normally Closed) relay contact pair. The NO contact will be controlled by the burn button and the NC contact will be controlled by the extinguish button. Each relay coil (representing the lamp being turned on) will be controlled by the combination of burn button, the previous lamp's relay (except for the first lamp) and its own NC contact.

Thus, when any extinguish button is pressed, it simply deactivates the relevant relay coil (lamp) and any relay coils (lamps) that follow. It is essential to consider this in sequences for the effective creation of a ladder diagram.

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