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I start from 2f₁= max, derive to this expression {fy = may, 2) ap(x, y, z) dx (_ ap(x, y, z) ay

I start from 2f₁= max, derive to this expression {fy = may, 2) ap(x, y, z) dx (_ ap(x, y, z) ay

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Ⓒ start from ZF₁ = max, derive to this expressing 1... 2fy = may. (2 (ap(x, y, z) ах ap(x, y, z) ay lax =pay
Transcribed Image Text:Ⓒ start from ZF₁ = max, derive to this expressing 1... 2fy = may. (2 (ap(x, y, z) ах ap(x, y, z) ay lax =pay
H. Wis to do the Jame with n an - Apply Newton's 2 ΣE = maz = - dF₂ -dfg + df = maz |d F₁ = ( P ( u, y, z _ dz) dm.dy d F g = dmg = edt g = e.q_dady dz dE D(n,y, 2+² ) du dy nd Tayt or Seress expration f(~₂9₁ 2+² dz) = f(mgy, z) + - ma ā Law P(2) eg. The gradiant Vf=of ↑ In to Z-direction - eg = ez 6 + бра LOPA SP on ² - dy î - dfk - egk= // ду J of of n бу de dF3 dz J + dfs dF, и - P(1,9, 7-1²) du.dy) - eg d m dydz + P(1,4, 2+0 2 ) dndy = @g.dm. dy.dząz af (И, У, 7) IZ of A -> 7 fr - Pin y 2) andy_ @P(1, 4, =) Andydz_ @dad de P(4,32) July - P(1,9,2), dady de 20., drodytes арси, z) Taz dz ap(2₂ y, z) = egreaz az Vactor for me ΣΕ A J m [ F₁₂ ₁ + E F y ĵ + [F₂ k=mani + may^³ + may  (-³P ) î + (- 3 P ) ^j + ( DP - eg)  =(Can) î+ (Cay)û +(Ca_ )  J dy Spont (m,y,zodz du DP-8A = Pa scavar finction N + (~4+3) VdFg df₂ +dz back + ать d Fu da² 807 (Y,Z) (dz) 21 f(nyoz) d A d V = 3 ₂ ² + 2 y ³ + 3 = ²K ач ↑ î 5 ins
Transcribed Image Text:H. Wis to do the Jame with n an - Apply Newton's 2 ΣE = maz = - dF₂ -dfg + df = maz |d F₁ = ( P ( u, y, z _ dz) dm.dy d F g = dmg = edt g = e.q_dady dz dE D(n,y, 2+² ) du dy nd Tayt or Seress expration f(~₂9₁ 2+² dz) = f(mgy, z) + - ma ā Law P(2) eg. The gradiant Vf=of ↑ In to Z-direction - eg = ez 6 + бра LOPA SP on ² - dy î - dfk - egk= // ду J of of n бу de dF3 dz J + dfs dF, и - P(1,9, 7-1²) du.dy) - eg d m dydz + P(1,4, 2+0 2 ) dndy = @g.dm. dy.dząz af (И, У, 7) IZ of A -> 7 fr - Pin y 2) andy_ @P(1, 4, =) Andydz_ @dad de P(4,32) July - P(1,9,2), dady de 20., drodytes арси, z) Taz dz ap(2₂ y, z) = egreaz az Vactor for me ΣΕ A J m [ F₁₂ ₁ + E F y ĵ + [F₂ k=mani + may^³ + may  (-³P ) î + (- 3 P ) ^j + ( DP - eg)  =(Can) î+ (Cay)û +(Ca_ )  J dy Spont (m,y,zodz du DP-8A = Pa scavar finction N + (~4+3) VdFg df₂ +dz back + ать d Fu da² 807 (Y,Z) (dz) 21 f(nyoz) d A d V = 3 ₂ ² + 2 y ³ + 3 = ²K ач ↑ î 5 ins
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