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In the circuit shown in Fig. P26.66 all the resistors are rated at a maximum power of 2.00 W. What is the maximum emf $\varepsilon$ that the battery can have without burning up any of the resistors?
The capacitor in $\textbf{Fig. P26.70}$ is initially uncharged. The switch $S$ is closed at $t =$ 0. (a) Immediatelyafter the switch is closed, what is the current through each resistor? (b) What is the final charge on the capacitor?
The circuit shown in $\textbf{Fig. P26.74}$, called a $Wheatstone$ $bridge$, is used to determine the value of an unknown resistor $X$ by comparison with three resistors $M$, $N$, and $P$ whose resistances can be varied. For each setting, the resistance of each resistor is precisely known. With switches $S_1$ and $S_2$ closed, these resistors are varied until the current in the galvanometer G is zero; the bridge is then said to be $balanced$. (a) Show that under this condition the unknown resistance is given by $X = MP/N$. (This method permits very high precision in comparing resistors.) (b) If galvanometer G shows zero deflection when $M =$ 850.0 $\Omega$, $N =$ 15.00 $\Omega$, and $P =$ 33.48 $\Omega$, what is the unknown resistance $X$?
$\because$ A finch rides on the back of a Galapagos tortoise, which walksat the stately pace of 0.060 $\mathrm{m} / \mathrm{s}$ . After 1.5 minutes the finch tires ofthe tortoise's slow pace, and takes flight in the same direction foranother 1.5 minutes at 11 $\mathrm{m} / \mathrm{s} .$ What was the average speed of thefinch for this 3.0 -minute interval?
To tighten a spark plug, it is recommended that a torque of 15 $\mathrm{N} \cdot \mathrm{m}$ be applied. If a mechanic tightens the spark plug with awrench that is 25 $\mathrm{cm}$ long, what is the minimum force necessaryto create the desired torque?
Pulling a Weed The gardening tool shown in FIGURE $11-37$ is used to pull weeds. If a $1.23-\mathrm{N} \cdot \mathrm{m}$ torque is required to pull a given weed,what force did the weed exert on the tool?