<p>A circuit draws a power of 550w from a source of 220V, 50 Hz. The power factor of the circuit is 0.8. The current in the circuit lags behind the voltage. Show that a capacitor of about&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mrow><mn>42</mn><mi mathvariant="normal">&#960;</mi></mrow></mfrac><mo>&#215;</mo><mo>&#160;</mo><msup><mn>10</mn><mrow><mo>-</mo><mn>2</mn></mrow></msup><mi>F</mi></math>&nbsp;will have to be connected to bring its power factor to unity.</p>