These questions test your understanding of the concepts covered in this chapter. Use a separate sheet of paper for your drawings or calculations. Compare your answers with the answers provided following the test.
1. What is the formula for the impedance of a series LC circuit? _____
2. What is the formula for the impedance of a series RLC circuit (a circuit containing resistance, inductance, and capacitance)? _____
3. What is the relationship between XC and XL at the resonant frequency? _____
4. What is the voltage across the resistor in a series RLC circuit at the resonant frequency? _____
5. What is the voltage across a resistor in series with a parallel LC circuit at the resonant frequency? _____
6. What is the impedance of a series circuit at resonance? _____
7. What is the formula for the impedance of a parallel circuit at resonance? _____
8. What is the formula for the resonant frequency of a circuit? _____
9. What is the formula for the bandwidth of a circuit? _____
10. What is the formula for the Q of a circuit? _____
Questions 11–13 use a series LC circuit. In each case, the values of the L, C, and R are given. Find fr, XL, XC, Z, Q, and BW. Draw an output curve for each answer.
11. L = 0.1 mH, C = 0.01 mF, R = 10 ohms _____
12. L = 4 mH, C = 6.4 mF, R = 0.25 ohms _____
13. L = 16 mH, C = 10 mF, R = 20 ohms _____
Questions 14 and 15 use a parallel LC circuit. No R is used; r is given. Find fr, XL, XC, Z, Q, and BW.
14. L = 6.4 mH, C = 10 mF, r = ...