A steam turbine at an electric power plant delivers 4,600 kW of power to an electrical generator which converts 85% of this mechanical energy into electrical energy.What is the current delivered by the generator if it delivers at 3,200 V?

Question

Quizplus · Accepted Answer

We can start by using the formula:

Power (P) = Voltage (V) x Current (I)

We can rearrange this formula to solve for the current:

I = P / V

First, we need to find the electrical power output of the generator, which is:

Electrical Power = Mechanical Power x Efficiency

Electrical Power = 4,600 kW x 0.85
Electrical Power = 3,910 kW

Now we can calculate the current:

I = 3,910 kW / 3,200 V
I ≈ 1,219 A

To put this in scientific notation, we get:

I ≈ 1.2 x 10^3 A

Therefore, the answer is C.

A Steam Turbine at an Electric Power Plant Delivers 4,600