A windfarm generates electrical power from the wind.. - Edexcel - GCSE Physics - Question 5 - 2012 - Paper 1

To calculate the current generated by the windfarm, we use the formula:

$I = \frac{P}{V}$

Where:

• $I$ is the current,
• $P$ is the power (322 MW),
• $V$ is the voltage (132 kV).

Converting the units:

• Power: $322 \text{ MW} = 322 \times 10^6\text{ W}$
• Voltage: $132 \text{ kV} = 132 \times 10^3 \text{ V}$

Now, substituting the values:

$I = \frac{322 \times 10^6}{132 \times 10^3} \approx 2439.39 \text{ A}$

Thus, the current from the windfarm is approximately 2439 A.

First, we need to find the additional power that will be generated:

$539 \text{ MW} - 322 \text{ MW} = 217 \text{ MW}$

Now, we divide this additional power by the number of new turbines (75) to find the power produced by each turbine:

$\text{Power per turbine} = \frac{217 \text{ MW}}{75} \approx 2.89 \text{ MW}$

Therefore, the power produced by each improved turbine is approximately 2.89 MW.