Question: Suppose that (mathbf{F}) has a vector potential and that (mathbf{F}(x, y, 0)=mathbf{k}). Find the flux of (mathbf{F}) through the surface (mathcal{S}) in Figure 22, oriented

Suppose that $\mathbf{F}$ has a vector potential and that $\mathbf{F}(x, y, 0)=\mathbf{k}$. Find the flux of $\mathbf{F}$ through the surface $\mathcal{S}$ in Figure 22, oriented with an upward-pointing normal.

S N Unit circle

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To find the flux of the vector field mathbfF through the surface mathcalS we would typically use the surface integral of mathbfF over mathcalS with th... View full answer

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