Calculate the flux of the vector field F(x, y, z) = 8yj through a square of side length 5 in the plane y = 3. The square is centered on the y-axis, has sides parallel to the axes, and is oriented in the positive y-direction. Flux:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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**Problem Description:**

Calculate the flux of the vector field \(\vec{F}(x, y, z) = 8y \, \vec{j}\) through a square of side length 5 in the plane \(y = 3\). The square is centered on the y-axis, has sides parallel to the axes, and is oriented in the positive y-direction.

**Flux Calculation:**

Flux = \(\boxed{\phantom{\text{Flux result here}}}\)
Transcribed Image Text:**Problem Description:** Calculate the flux of the vector field \(\vec{F}(x, y, z) = 8y \, \vec{j}\) through a square of side length 5 in the plane \(y = 3\). The square is centered on the y-axis, has sides parallel to the axes, and is oriented in the positive y-direction. **Flux Calculation:** Flux = \(\boxed{\phantom{\text{Flux result here}}}\)
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