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Practice 4.3.2: Adding and Subtracting Complex Numbers
Find each sum or difference. Identify whether each sum or difference is wholly real or wholly
imaginary, or if it has both a real and an imaginary part.
1. (12 + i) + (–4 – i)
2. (8 + 2i) – (–8 + 8i)
3. (2 + 25i) – (17 + 24i)
4. (–18 + 3i) + (18 – 9i)
5. (10 + i53) + (–23 + i)
6. (30 – 24i) – (–6 + 3i34)
7. (–14 + 12i) – (–14 + 5i23)
8. (–44 + 10i) + (39 – 11i)
Use the following information to solve problems 9 and 10.
The impedance of an element can be written in the form V + Ii, where V is
the voltage and I is the current in milliamperes. For two elements in series
in a circuit, the total impedance is the sum of each element’s impedance.
Find the total impedance of two given elements if the elements are in series
in a circuit.
9. Element 1: V = 29 volts, I = 1.1 milliamperes
Element 2: V = 27 volts, I = 0.9 milliamperes
10. Element 1: V = 15.5 volts, I = 2 milliamperes
Element 2: V = 23 volts, I = 2.3 milliamperes