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zq0{kc)i@b{I*NeSGA*oBI*QYHm|%3A2Mhy-dBV?Nz{EPD;|Ov0Qt3F8MQk-xI+MoB zgo#s$j4{wxiHm?9`8%vrq6+?kFGh?40|gs!k}&JP@Pn?05Q>Y6)9|U)IvFA+$UAXD zCW3JeYtF+>CrqVc#DW7hLScgVgHDKZE(cB<40;nzU3b39I)4@Ys%`xWP5 z{S6n6!Nf`jyO_?ygh|720vLpfF^GN$fWjoC2?P+QPbbWxBH(}|<{fl#jK~hyn8Xkw zG>oVEfsOX3xc=4xLZ{)x9f8p4R2=Z13^=$I_m$, color=blue] (4,2) + (4,2) to node[draw, circle, fill=white] {A} (6,2); + \draw + (0,3) to[R=$R_s$, i>^=$I_s$] (6,3) + (6,3) to[short, -*] (6,2) + (6,2) to[short] (6,0) + (6,0) to[short] (0,0) + \end{circuit} + + We want to measure $I$ for 0-1 A, and the ideal ammeter measures + up to 50 $\mu\A$. To find what shunt resistance $R_s$ allows us to do so, + we set $I = 1 \A$ and $I_m = 50 \mu\A$. By KCL we know $I_s = 0.999950 \A$. + To determine $R_s$, we still need to find the voltage across it. We can + find this voltage by doing + \[V = I_m R_m = 50 \mu\A \cdot 5 \k\Ohm = 0.25 \V\] + Then we simply do + \[R_s = \frac{V}{I_s} = \frac{0.25 \V}{0.999950 \A} = \mans{0.25 \Ohm}\] + + \item In the second part, we have the following circuit: + \begin{circuit}{fig:1.8.2}{50\u A ammeter with 5k\Ohm\ internal + resistance (shown in blue) with a series resistor.} + + (0,0) to[V=$V$, invert, i^>=$I$] (0,2); + \draw[blue] + (0,2) to[R=5k\Ohm, color=blue] (2,2) + (2,2) to node[draw, circle, fill=white] {A} (4,2); + \draw + (4,2) to[R=$R_s$] (4,0) + (4,0) to[short] (0,0) + \end{circuit} + + We want to measure $V$ for 0-10 V, and the ideal ammeter measures up to + 50 $\mu\A$. To find the series resistance $R_s$, we set $V = 10\V$ and + $I = 50\mu\A$. Then we solve + \[\frac{V}{I} = 5\k\Ohm + R_s\] + \[R_s = \frac{10\V}{50\mu\A} - 5\k\Ohm = \mans{195\k\Ohm}\] + \end{enumerate} \ex{1.10} \begin{enumerate}