6.7: Exercises
- Page ID
- 34246
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)6.7.1: Analysis Problems
1. Determine the load voltage for the model of Figure \(\PageIndex{1}\) if \(V_{gen}\) = 10 mV, \(Z_{gen}\) = 50 \(\Omega\), \(Z_{in}\) = 1 M\(\Omega\), \(Z_{out}\) = 75 \(\Omega\), \(Z_{load}\) = 1 k \(\Omega\) and \(A_v\) = 50.
Figure \(\PageIndex{1}\)
2. Determine the load voltage for the model of Figure \(\PageIndex{1}\) given \(V_{gen}\) = 8 mV, \(Z_{gen}\) = 1 k \(\Omega\), \(Z_{in}\) = 6 k\(\Omega\), \(Z_{out}\) = 500 \(\Omega\), \(Z_{load}\) = 2 k \(\Omega\) and \(A_v\) = 100.
3. If the circuit of Problem 1 has a compliance of 2 volts, will the output clip? What if the input is increased to 100 mV?
4. If the circuit of Problem 2 has a compliance of 5 volts, will the output clip? What if the input is increased to 200 mV?
5. If an amplifier has \(A_v\) = 25, \(V_{in}\) = 20 mV and there is no appreciable loading, determine the output signal-to-noise ratio if the amplifier generates an output noise voltage of 10 \(\mu\)V.
6. Determine which waveforms from Figures \(\PageIndex{2}\) through \(\PageIndex{6}\) exhibit halfwave symmetry.
Figure \(\PageIndex{2}\)
Figure \(\PageIndex{3}\)
Figure \(\PageIndex{4}\)
Figure \(\PageIndex{5}\)
Figure \(\PageIndex{6}\)
7. Determine the Miller equivalent resistances for the circuit of Figure \(\PageIndex{7}\) if \(A_v\) = −20 and \(R\) = 60 k\(\Omega\).
Figure \(\PageIndex{7}\)
8. Determine the Miller equivalent capacitances for the circuit of Figure \(\PageIndex{8}\) assuming \(A_v\) = −30 and \(C\) = 200 pF.
Figure \(\PageIndex{8}\)
6.7.2: Challenge Problems
9. If the circuit of Problem 1 has a compliance of 20 volts, how large can the input signal be before the load voltage is clipped?
10. If the circuit of Problem 2 has a compliance of 10 volts, how large can the input signal be before the load voltage is clipped?
11. Using Figure \(\PageIndex{7}\) as a guide and assuming that \(R\) = 100 k\(\Omega\), how large would the gain have to be such that the input equivalent resistance is 4 k\(\Omega\)?
12. Using Figure \(\PageIndex{8}\) as a guide and assuming that \(A_v\) = −35, determine a value for \(C\) such that the input equivalent capacitance is 1.2 nF.
6.7.3: Computer Simulation Problems
13. Simulate the circuit of Problem 1 and verify the load voltage.
14. Simulate the circuit of Problem 2 and verify the load voltage.