**Examples
for AC circuits**

Example #1

Problem:

Consider the LC
circuit to the right. If one needs to tune this circuit to a
frequency of 84 *kHz*, and the capacitor has a capacitance
* C* = 3.0 m

Solution:

Use the relation, . Solve
for * L*.

* L*
= 1.20E-6

Example #2

Problem:

a.) What is the
impedance of the circuit to the right if: * f*
= 60

Solution:

* Z*
= 8.54

b.) If the r.m.s.
voltage of the source is **V**_{rms}
= 110 *V*, what is the r.m.s. current?

Solution:** I**_{rms} =**
V**_{rms}**/ Z**

**I**_{rms} =
12.9 amps

c.) What is the peak current?

Solution:** I**_{p} = sqrt(2) ·**I**_{rms}

**I**_{p} =
18.2 amps

d.) What is the power dissipated in the resistor?

Solution: P = **I**^{2}_{rms}·**R**

* P*
= 1320