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Introductory Physics Volume Two

Introductory Physics Volume Two

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126 Time Varying Fields 6.8<br />

voltage as an example. The fact that the inductor voltage is one quarter<br />

of a cycle ahead of the current, means that the inductor voltage<br />

phasor is 90 ◦ ahead of the current phasor.<br />

If you imagine the phasors rotating you can see that the projection of<br />

the voltage, onto the horizontal axis, will reach a peak one quarter of<br />

a cycle before the projection of the current reaches its peak.<br />

Here is the phasor diagram for a capacitor.<br />

At this point the phasor diagram has only allowed us to represent<br />

what we already know. The phasor diagram is far more useful. For<br />

example the phasor diagram will alow us to use Kirchhoffs loop rule<br />

for AC circuits, as we will see in the following example. The idea of a<br />

phasor is useful in many areas of physics and engineering. We will see<br />

more examples in the next chapter.<br />

Example<br />

Suppose that we have a capacitor and a resistor in series. What is the<br />

effective impedance of the combination. First imagine that we connect<br />

the combination to an AC source.<br />

+<br />

+<br />

V S–<br />

C<br />

R<br />

+<br />

V R<br />

–<br />

V C<br />

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