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Surface integrals: Calculating the flux over a particular surface is a very common way of determine the electric field. Eyaluate the integral f, v dA where v(r, y, z) = 3zr â +5x ý+2y 2 and S is the rectangular surface lying in x-z plane from (0,0,0) to (2,0,3). Choose the direction of +ŷ to be indicative of positive flux.

Surface integrals: Calculating the flux over a particular surface is a very common way of determine the electric field. Eyaluate the integral f, v dA where v(r, y, z) = 3zr â +5x ý+2y 2 and S is the rectangular surface lying in x-z plane from (0,0,0) to (2,0,3). Choose the direction of +ŷ to be indicative of positive flux.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3. Surface integrals: Calculating the flux over a particular surface is a very common way of determine the electric field. Eyaluate the integral fs v dA where v(z, y, z) = 3za ê +5x ŷ+2y z and S is the rectangular surface lying in x-z plane from (0,0,0) to (2,0,3). Choose the direction of +ŷ to be indicative of positive flux. 4. Explain how the resulting sign of the flux makes sense. You may use sketches or diagrams.
Transcribed Image Text:3. Surface integrals: Calculating the flux over a particular surface is a very common way of determine the electric field. Eyaluate the integral fs v dA where v(z, y, z) = 3za ê +5x ŷ+2y z and S is the rectangular surface lying in x-z plane from (0,0,0) to (2,0,3). Choose the direction of +ŷ to be indicative of positive flux. 4. Explain how the resulting sign of the flux makes sense. You may use sketches or diagrams.
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