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Find the circulation and flux of the field F = 5xi + 5yj around and across the closed semicircular path that consists of the semicircular arch r₁ (t) = (a cos t)i + (a sin t)j, 0≤t≤à, followed by the line segment r₂(t) = ti, - ast≤a.

Find the circulation and flux of the field F = 5xi + 5yj around and across the closed semicircular path that consists of the semicircular arch r₁ (t) = (a cos t)i + (a sin t)j, 0≤t≤à, followed by the line segment r₂(t) = ti, - ast≤a.

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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Find the circulation and flux of the field F = 5xi + 5yj around and across the closed semicircular path that consists of the semicircular arch r₁ (t) = (a cos t)i + (a sin t)j, 0≤t≤à, followed by the line segment r₂(t) = ti, -a≤t≤a. The circulation is (Type an exact answer, using à as needed.)
Transcribed Image Text:Find the circulation and flux of the field F = 5xi + 5yj around and across the closed semicircular path that consists of the semicircular arch r₁ (t) = (a cos t)i + (a sin t)j, 0≤t≤à, followed by the line segment r₂(t) = ti, -a≤t≤a. The circulation is (Type an exact answer, using à as needed.)
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