4. 3 (a) In the circuit of Fig. 4.71, calculate $v_o$ and $i_o$ when $v_s = 1 V$. (b) Find $v_o$ and $i_o$ when $v_s = 10 V$. (c) What are $v_o$ and $i_o$ when each of the 1-$\Omega$ resistors is replaced by a 10-$\Omega$ resistor and $v_s = 10 V$?
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The two $1\Omega$ resistors on the left form a series combination of $2\Omega$. This is in parallel with the $1\Omega$ resistor on the top. The equivalent resistance is $\frac{2\Omega \times 1\Omega}{2\Omega + 1\Omega} = \frac{2}{3}\Omega$. This is in series with Show more…
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In a useful application, the amplifier drives a load. The circuit in Fig. P4.18 models this scenario. (a) Sketch the gain $V_{o} / V_{S}$ for $10 \Omega \leq R_{L} \leq \infty$ (b) Sketch $I_{o}$ for $10 \Omega \leq R_{L} \leq \infty$ if $V_{S}=0.1 \mathrm{V}$ (c) Repeat (b) if $V_{s}=1.0 \mathrm{V}$ (d) What is the minimum value of $R_{L}$ if $\left|I_{o}\right|$ must be less than $100 \mathrm{mA}$ for $\left|V_{s}\right|<0.5 \mathrm{V} ?$ (e) What is the current $I_{S}$ if $R_{L}$ is $100 \Omega ?$ Repeat for $R_{L}=10 \mathrm{k} \Omega.$ $$\begin{aligned} &R_{2}=27 \mathrm{k} \Omega\\ &R_{1}=3 \mathrm{k} \Omega \end{aligned}$$
For the circuit in Fig. $\mathrm{P} 4.21.$ (a) find $V_{o}$ in terms of $V_{1}$ and $V_{2}.$ (b) If $V_{1}=2 \mathrm{V}$ and $V_{2}=6 \mathrm{V},$ find $V_{o.}$ (c) If the op-amp supplies are $\pm 12 \mathrm{V}$, and $V_{1}=4 \mathrm{V}$, what is the allowable range of $V_{2} ?$
A voltmeter is used to measure $V_{o}$ in the circuit in Fig. $2.122 .$ The voltmeter model consists of an ideal voltmeter in parallel with a $100-\mathrm{k} \Omega$ resistor. Let $V_{s}=40 \mathrm{V}, R_{s}=10 \mathrm{k} \Omega,$ and $R_{1}=20 \mathrm{k} \Omega$. Calculate $V_{o}$ with and without the voltmeter when (a) $R_{2}=1 \mathrm{k} \Omega$ (b) $R_{2}=10 \mathrm{k} \Omega$ (c) $R_{2}=100 \mathrm{k} \Omega$
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