- #1

waley

## Homework Statement

A series circuit has an impedance of and a power factor of 0.720 at 50.0 Hz. The source voltage lags the current. What circuit element, an inductor or a capacitor, should be placed

in series with the circuit to raise its power factor?

## Homework Equations

cosΦ=R/Z

Z=sqrt(R^2+(X(inductor)-X(capacitor))^2)

X(inductor) = wL

X(capacitor) = 1/wC

## The Attempt at a Solution

If I want to make cosΦ bigger, Z would have to be smaller. If I raise L, then the impedance becomes larger. However, if I raise C, then X(capacitor) gets smaller, and Z becomes larger anyway. What am I doing wrong, and how to connect the concepts of voltage lagging current and raising the power factor?