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

Answer:

$I=573.846\ A$

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:

$E_e=E_m\times \eta_g$

$E_e=1119000\times 80\%$

$E_e=895200\ W$

As power of current is given by:

$P=V.I$

where:

$I=$ current

Now,

$E_e=P$

$895200=V.I$

$I=\frac{895200}{1560}$

$I=573.846\ A$