4. A house has a floor area of \( 112 \mathrm{~m}^{2} \) and an outside wall that has an area of...

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4. A house has a floor area of \( 112 \mathrm{~m}^{2} \) and an outside wall that has an area of \( 28 \mathrm{~m}^{2} \). Earth's magnetic field here has a horizontal component of \( 2.6 \times 10^{-5} \mathrm{~T} \) that points due north and a vertical component of \( 4.2 \times 10^{-5} \mathrm{~T} \) that points straight down, toward Earth. Determine the magnetic flux through the wall if the wall faces (a) north and (b) east. (c) Calculate the magnetic flux that passes through the floor.
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