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184_notes:examples:week12_changing_shape [2018/04/11 19:39] – [Solution] pwirving | 184_notes:examples:week12_changing_shape [2018/08/09 18:08] (current) – curdemma | ||
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===== Flux Through a Changing, Rotating Shape ===== | ===== Flux Through a Changing, Rotating Shape ===== | ||
Suppose you have a magnetic field directed in the $-\hat{z}$-direction, | Suppose you have a magnetic field directed in the $-\hat{z}$-direction, | ||
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* We represent the steps with the following visual: | * We represent the steps with the following visual: | ||
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====Solution==== | ====Solution==== | ||
Since the magnetic field has a uniform direction, and the area of the loop is flat (meaning $d\vec{A}$ does not change direction if we move along the area), then we can simplify the dot product: | Since the magnetic field has a uniform direction, and the area of the loop is flat (meaning $d\vec{A}$ does not change direction if we move along the area), then we can simplify the dot product: |