Question
In an office block, the light circuits are protected by 10A circuit breakers. Determine the total number of 50W, 220V downlights that can be connected to each circuit.
Answers
GPT-4o mini
To determine how many 50W, 220V downlights can be connected to a circuit protected by a 10A circuit breaker, we can start by calculating the total power that the circuit can handle.
1. **Calculate the maximum allowable power on the circuit:**
\[
\text{Power (W)} = \text{Voltage (V)} \times \text{Current (A)}
\]
Given:
- Voltage = 220V
- Current = 10A
\[
\text{Power} = 220V \times 10A = 2200W
\]
2. **Calculate the power consumption of each downlight:**
Each downlight consumes 50W.
3. **Determine the total number of downlights:**
We can find the number of downlights by dividing the total power by the power consumption of each downlight.
\[
\text{Number of downlights} = \frac{\text{Total Power}}{\text{Power per downlight}} = \frac{2200W}{50W} = 44
\]
Therefore, the total number of 50W, 220V downlights that can be connected to each circuit is **44 downlights**.
1. **Calculate the maximum allowable power on the circuit:**
\[
\text{Power (W)} = \text{Voltage (V)} \times \text{Current (A)}
\]
Given:
- Voltage = 220V
- Current = 10A
\[
\text{Power} = 220V \times 10A = 2200W
\]
2. **Calculate the power consumption of each downlight:**
Each downlight consumes 50W.
3. **Determine the total number of downlights:**
We can find the number of downlights by dividing the total power by the power consumption of each downlight.
\[
\text{Number of downlights} = \frac{\text{Total Power}}{\text{Power per downlight}} = \frac{2200W}{50W} = 44
\]
Therefore, the total number of 50W, 220V downlights that can be connected to each circuit is **44 downlights**.