# AC Circuits

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A) Use the complex form of Ohm's law to show graphically that the voltage across an inductance L leads the current through the inductor by ninety degrees.

b) Using the same method, determine the angle by which the voltage across a capacitor leads the current through the capacitor .

(Complex numbers calculations are called for.)

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#### Solution Preview

Please see attached file for the solution to the given problems.

Solution:

a. The impedance of the inductor is equal to:

Where:

= Impedance of the Inductor

= Angular frequency, also equal to , where f is frequency

= ...

#### Solution Summary

Complex forms of Ohm's law for alternating current is examined.

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