Question
Breathing monitor An apnea monitor for adults consists of a flexible coil that wraps around the chest (Figure P18.23). When the patient inhales, the chest expands, as does the coil. Earth's $\vec{B}$ field of$5.0 \times 10^{-5}$ T passes through the coil at a $53^{\circ}$ angle relative to a line perpendicular to the coil. Determine the average induced emf in such a coil during one inhalation if the 300 -turncoil area increases by 42 $\mathrm{cm}^{2}$ during 2.0 $\mathrm{s}$ .
Step 1
Mathematically, this is represented as $\varepsilon = -N \frac{d\Phi}{dt}$, where $N$ is the number of turns in the coil, $\Phi$ is the magnetic flux, and $t$ is time. Show more…
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An apnea monitor for adults consists of a flexible coil that wraps around the chest (Figure P21.22). When the patient inhales, the chest expands, as does the coil. Earth's $\vec{B}$ field of $5.0 \times 10^{-5} \mathrm{T}$ passes through the coil at a $53^{\circ}$ angle relative to a line perpendicular to the coil. Determine the average induced emf in such a coil during one inhalation if the 300 -turn coil area increases by $42 \mathrm{cm}^{2}$ during $2.0 \mathrm{s}$.
To monitor the breathing of a hospital patient, a thin belt is girded around the patient's chest. The belt is a 200 -turn coil. When the patient inhales, the area encircled by the coil increases by 39.0 $\mathrm{cm}^{2}$ . The magnitude of the Earth's magnetic field is 50.0$\mu$ T and makes an angle of $28.0^{\circ}$ with the plane of the coil. Assuming a patient takes 1.80 s to inhale, find the average induced emf in the coil during this time interval.
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