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  • A 50 w, 100 v lamp is to be connected to an AC main of 200 v, 50 hz, what should the essential capacitance of the capacitor

15509042284338026511.jpg Sr in 26 I got R=200ohm and I=0.5A,,now sr

A 50 w, 100 v lamp is to be connected to an AC main of 200 v, 50 hz, what should the essential capacitance of the capacitor to be put in series with the lamp be

Answers (1)

For current through a series capacitor to match that through a resistive lamp, phase of potential across the capacitor must lag that across lamp by 90 degrees

now form a right angled triangle with base 100V, hypoteneous 200V and find the height

  1. results in capacitor leg ~ 173.2V.

Reactance for 0.5A across 173.2V ~ 346.4 Ohms. At 50 Hz \frac{1}{2\pi fc}=346.4 \ ohm

 a capacitor needs to be about 9.2 uF

option b

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Safeer PP

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