Electrostatics> A ckt has P=550W frm a source 220V,50Hz.T...

A ckt has P=550W frm a source 220V,50Hz.The power factor of ckt=.8 current in the ckt lags voltage. show that a capacitor of abt (1/42pie*100)F will have to be connected in the ckt to bring power factor to unity

Pushkar Aditya , 10 Years ago

Grade 7

1 Answers

Arun Kumar

Last Activity: 10 Years ago

$VI=P \\=>I=P/V=55/22\\ I_{R}^2+I_{L}^2=I^2 \\=>cos(\theta)=0.8 \\=>\theta= \angle\,between\,I and I_R \\=>1+.8^2=I^2/I_{L}^2$
Get
$I_{L}$ from here
Now
$1/\omega L=\omega C$
If we get L we can get C.
$I_{L}/I=550/V_{L}\\=>V_{L}=550/(I_{L}/I)$
$\omega L*I_{L}=V_{L}$
Now get L.

Thanks & Regards
Arun Kumar
IIT Delhi
Askiitians Faculty

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Electrostatics> A ckt has P=550W frm a source 220V,50Hz.T...

A ckt has P=550W frm a source 220V,50Hz.The power factor of ckt=.8 current in the ckt lags voltage. show that a capacitor of abt (1/42pie*100)F will have to be connected in the ckt to bring power factor to unity

Pushkar Aditya , 10 Years ago

Arun Kumar

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