P31_021 - Z ` ( 4 t 2 y` ) dy = 2 t 2 ` 3 . Thus, aradays...

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21. Consider a (thin) strip of area of height dy and width ` =0 . 020 m. The strip is located at some 0 <y<` . The element of flux through the strip is d Φ B = BdA =(4 t 2 y )( `dy ) where SI units (and 2 signiFcant Fgures) are understood. To Fnd the total flux through the square loop, we integrate: Φ B = Z d Φ B =
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Unformatted text preview: Z ` ( 4 t 2 y` ) dy = 2 t 2 ` 3 . Thus, aradays law yields |E| = d B dt = 4 t` 3 . At t = 2 . 5 s, we Fnd the magnitude of the induced emf is 8 . 10 5 V. Its direction (or sense) is clockwise, by Lenzs law....
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