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  • Can someone help me with this, An arc lamp requires a direct current of 10 A at 80 V to function. If it is connected to a 220 V (rms), 50 Hz AC supply, the series inductor needed for it to work is close to :

An arc lamp requires a direct current of 10 A at 80 V to function.  If it is connected to a 220 V (rms), 50 Hz AC supply, the series inductor needed for it to work is close to :

  • Option 1)

    80 H

     

  • Option 2)

     0.08 H

     

  • Option 3)

     0.044 H

     

  • Option 4)

    0.065 H

     

 

Answers (1)

best_answer

X_{L} = (2\pi \times 50) L

= 100 \pi L.

I_{rms} = \frac{220}{100\pi L}

Power of lamp = 800 W.

\therefore (220) (\frac{220}{100\pi L}) = 800

L = \frac{121}{200\pi }


Option 1)

80 H

 

This option is incorrect.

Option 2)

 0.08 H

 

This option is incorrect.

Option 3)

 0.044 H

 

This option is incorrect.

Option 4)

0.065 H

 

This option is correct.

Posted by

Plabita

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