Describe the control of a single lamp from three places. Draw the relevant circuit diagram.
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Controlling a single lamp from three different places can be achieved using a combination of three-way and four-way switches. This is a common setup in home wiring, allowing you to control a single lamp from multiple locations, such as at the top and bottom of a staircase and in the middle of a long hallway.

### Circuit Design

1. **Three-Way Switches**: These are used to control the lamp from two locations. They each have three terminals: one common (COM) terminal and two traveler terminals.

2. **Four-Way Switch**: This switch is used in conjunction with the two three-way switches to add a third control point. It has four terminals: two for travelers coming from the three-way switches and two for travelers going to the next switch in the series.

### Circuit Diagram

Here’s a step-by-step description of the circuit and the diagram:

1. **Power Source**: The power source (usually a 120V AC supply in the US) is connected to the common terminal of the first three-way switch.

2. **First Three-Way Switch**:
   - **Common Terminal (COM)**: Connected to the power source.
   - **Traveler Terminals**: Connected to the traveler terminals of the four-way switch.

3. **Four-Way Switch**:
   - **Traveler Terminals (Incoming)**: Connected to the traveler terminals of the first three-way switch.
   - **Traveler Terminals (Outgoing)**: Connected to the traveler terminals of the second three-way switch.

4. **Second Three-Way Switch**:
   - **Traveler Terminals**: Connected to the traveler terminals of the four-way switch.
   - **Common Terminal (COM)**: Connected to one terminal of the lamp.

5. **Lamp**: The other terminal of the lamp is connected to the neutral wire of the power source.

### Detailed Circuit Diagram

Below is a simplified description of the diagram:

1. **Power Source**:
   - **Live (Hot) Wire**: Connected to the COM terminal of the first three-way switch.
   - **Neutral Wire**: Connected directly to the lamp.

2. **First Three-Way Switch**:
   - **COM Terminal**: Connected to the live wire from the power source.
   - **Traveler Terminals**: Wires leading to the traveler terminals of the four-way switch.

3. **Four-Way Switch**:
   - **Incoming Traveler Terminals**: Wires coming from the first three-way switch.
   - **Outgoing Traveler Terminals**: Wires leading to the traveler terminals of the second three-way switch.

4. **Second Three-Way Switch**:
   - **Traveler Terminals**: Wires coming from the traveler terminals of the four-way switch.
   - **COM Terminal**: Connected to one terminal of the lamp.

5. **Lamp**:
   - **One Terminal**: Connected to the COM terminal of the second three-way switch.
   - **Other Terminal**: Connected to the neutral wire of the power source.

### How It Works

- **Switch Positions**: The lamp can be turned on or off from any of the three switches. The position of the switches determines whether the circuit is complete (lamp on) or not (lamp off).
- **Three-Way Switches**: The two three-way switches control the flow of current by either connecting or disconnecting the traveler wires, which determines whether the circuit is completed through the four-way switch.
- **Four-Way Switch**: It acts as an intermediary, reversing the direction of current flow between the two three-way switches, allowing for control of the lamp from multiple locations.

### Diagram Example

```
Power Source (Live) ----> [Three-Way Switch 1 COM]
                         |----> [Four-Way Switch IN]
                         |----> [Four-Way Switch OUT]
                         |----> [Three-Way Switch 2 COM] ----> Lamp ----> Neutral
```

In this configuration:
- The **Live Wire** connects to the **COM Terminal** of the first three-way switch.
- **Travelers** run between the first three-way switch, the four-way switch, and the second three-way switch.
- The **COM Terminal** of the second three-way switch connects to the lamp.

This setup ensures that the lamp can be controlled from any of the three switch locations.
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Controlling a single lamp from three different locations is commonly achieved using a system of three-way and four-way switches. This setup is often used in stairways, long hallways, or large rooms where it is convenient to control a light from multiple points.

### Components Required

1. **Three-Way Switches** (2 units)
2. **Four-Way Switch** (1 unit)
3. **Lamp** (Load)
4. **Power Source**

### Circuit Diagram Explanation

Here’s a step-by-step breakdown of how the wiring is done:

1. **Power Source to First Three-Way Switch**:
   - The power source (live and neutral wires) enters the first three-way switch.

2. **Three-Way Switch to Four-Way Switch**:
   - The traveler wires (two wires) are connected from the first three-way switch to the four-way switch. These traveler wires carry the current between the switches.

3. **Four-Way Switch to Second Three-Way Switch**:
   - The output from the four-way switch (travelers) is connected to the second three-way switch.

4. **Three-Way Switch to Lamp**:
   - From the second three-way switch, the wires are connected to the lamp (load). The lamp's other terminal is connected to the neutral line from the power source.

5. **Neutral Line**:
   - The neutral wire from the power source is directly connected to the lamp.

### Circuit Diagram

Here is a simplified representation of the circuit:

```
Power Source
   |
   |-- (Live)----| S1 (Three-Way) |----| S4 (Four-Way) |----| S2 (Three-Way) |---- Lamp
   |
   |-- (Neutral)------------------|----------------------|--------------------|
```

- **S1**: First Three-Way Switch
- **S2**: Second Three-Way Switch
- **S4**: Four-Way Switch

### Detailed Circuit Diagram

1. **Power Source**:
   - Connect the live wire from the power source to the common terminal of the first three-way switch (S1).
   - Connect the neutral wire from the power source directly to one terminal of the lamp.

2. **Three-Way Switch (S1)**:
   - Connect the two traveler terminals of S1 to the two traveler terminals of the four-way switch (S4).

3. **Four-Way Switch (S4)**:
   - Connect the two traveler terminals of S4 to the two traveler terminals of the second three-way switch (S2).

4. **Three-Way Switch (S2)**:
   - Connect the common terminal of S2 to one terminal of the lamp.

5. **Lamp**:
   - The other terminal of the lamp is connected to the neutral wire from the power source.

### Operation

When any of the three switches are toggled, it can change the state of the lamp (on or off), regardless of the positions of the other two switches. This is due to the fact that the combination of positions in the three-way and four-way switches allows for multiple circuit paths to control the lamp.
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