Question

A turbine of a coal burning installation delivers 1,500 hp of mechanical energy to a generator. The generator then converts 80.0% of the mechanical energy into electrical energy. If the terminal potential difference of the generator is 1560 V, what current does it deliver (in A)?

Answer 1

`I=573.846\ A`

Step-by-step explanation:

Given:

• mechanical energy delivered to the generator,
  `E_m=1500\ hp=1119000\ W`

• efficiency of the generator in converting the mechanical energy into electrical,
  `\eta_g=80\%`

• terminal potential difference across the generator output,
  `V=1560\ V`

Now the amount of energy converted into electrical energy by the generator:

`E_e=E_m* \eta_g`

`E_e=1119000* 80\%`

`E_e=895200\ W`

As power of current is given by:

`P=V.I`

where:

`I=` current

Now,

`E_e=P`

`895200=V.I`

`I=(895200)/(1560)`

`I=573.846\ A`