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For \( x < 1 \), e.g., \( x = 0 \): - AMAZONAWS
For \( x < 1 \), e.g., \( x = 0 \): - AMAZONAWS
📅 March 6, 2026
👤 scraface
Mar 06, 2026
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📌 \( x = \frac{49.5}{8} = 6.1875 \)
📌 #### 6.1875
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📌 Question:** An electrical engineer analyzes the magnetic flux through a coil whose area vector \( \vec{A} \) rotates in the \( xy \)-plane. If \( \vec{A}(t) = A_0 \cos(\omega t) \hat{\mathbf{x}} + A_0 \sin(\omega t) \hat{\mathbf{y}} \) and the magnetic field is \( \vec{B} = B_0 \hat{\mathbf{z}} \), compute the time average of the magnetic flux \( \Phi_B = \vec{B} \cdot \vec{A}(t) \) over one period.
