9.8: Exercises
- Page ID
- 41319
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- A spiral inductor is modeled as an ideal inductor of \(10\text{ nH}\) in series with a \(5\:\Omega\) resistor. What is the \(Q\) of the spiral inductor at \(1\text{ GHz}\)?
- Consider the design of a \(50\text{ dB}\) resistive T attenuator in a \(75\:\Omega\) system. [Parallels Example 9.4.1]
- Draw the topology of the attenuator.
- Write down the design equations.
- Complete the design of the attenuator.
- Consider the design of a \(50\text{ dB}\) resistive Pi attenuator in a \(75\:\Omega\) system. [Parallels Example 9.4.1]
- Draw the topology of the attenuator.
- Write down the design equations.
- Complete the design of the attenuator.
- A \(20\text{ dB}\) attenuator in a \(17\:\Omega\) system is ideally matched at both the input and output. Thus there are no reflections and the power delivered to the load is reduced by \(20\text{ dB}\) from the applied power. If a \(5\text{ W}\) signal is applied to the attenuator, how much power is dissipated in the attenuator?
- A resistive Pi attenuator has shunt resistors of \(R_{1} = R_{2} = 294\:\Omega\) and a series resistor \(R_{3} = 17.4\:\Omega\). What is the attenuation (in decibels) and the characteristic impedance of the attenuator?
- Design a resistive Pi attenuator with an attenuation of \(10\text{ dB}\) in a \(100\:\Omega\) system.
- Design a \(3\text{ dB}\) resistive Pi attenuator in a \(50\:\Omega\) system.
- A resistive Pi attenuator has shunt resistors \(R_{1} = R_{2} = 86.4\:\Omega\) and a series resistor \(R_{3} = 350\:\Omega\). What is the attenuation (in decibels) and the system impedance of the attenuator?
- A balun can be realized using a wire-wound transformer, and by changing the number of windings on the transformer it is possible to achieve impedance transformation as well as balanced-to-unbalanced functionality. A \(500\text{ MHz}\) balun based on a magnetic transformer is required to achieve impedance transformation from an unbalanced impedance of \(50\:\Omega\) to a balanced impedance of \(200\:\Omega\). If there are \(20\) windings on the balanced port of the balun transformer, how many windings are there on the unbalanced port of the balun?
9.11.1 Exercises by Section
\(†\)challenging
\(§9.2 1, 2, 3, 4 \)
\(§9.4 5†, 6, 7, 8† \)
\(§9.7 9†\)
9.11.2 Answers to Selected Exercises
- \(12.57\)
- \(R_{1}=R_{2}=74.5\:\Omega\)
- \(75.48\:\Omega\)
- \(4.95\text{ W}\)