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 $2.0 \mathrm{s}$.