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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)?

Respuesta :

Answer:

[tex]I=573.846\ A[/tex]

Explanation:

Given:

  • mechanical energy delivered to the generator, [tex]E_m=1500\ hp=1119000\ W[/tex]
  • efficiency of the generator in converting the mechanical energy into electrical, [tex]\eta_g=80\%[/tex]
  • terminal potential difference across the generator output, [tex]V=1560\ V[/tex]

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

[tex]E_e=E_m\times \eta_g[/tex]

[tex]E_e=1119000\times 80\%[/tex]

[tex]E_e=895200\ W[/tex]

As power of current is given by:

[tex]P=V.I[/tex]

where:

[tex]I=[/tex] current

Now,

[tex]E_e=P[/tex]

[tex]895200=V.I[/tex]

[tex]I=\frac{895200}{1560}[/tex]

[tex]I=573.846\ A[/tex]