Lesson 5.4: Help with Exercises 95 and 96 on page 279
Keep track of the real and imaginary parts in the problem. In Exercise 95, it can help to rewrite the information as follows:
total impedance = impedance of components
For example, a series circuit with the components listed in the table, , , and , would have impedance , or .
In Exercise 96, calculate the values of Z1 and Z2. When multiplying complex numbers, be careful with signs. You may want to write out each step, then combine real and imaginary terms. If the answer has a complex number in the denominator, multiply both the numerator and the denominator by the complex conjugate to simplify.
Remember that you can only divide out factors, not terms. For example, . The correct simplification is .