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Please assist with non graded problem. Question about the item b of Chapter 4, Problem 21P – Sadiku's Elements of Electromagnetics 7th Edition (I have submited Bartleby's solution link but I was asked to sent another question without it. I did it, and was asked AGAIN to resubmit copying the question, so here it is): 21P: A ring placed along y2 + z2 = 4, x = 0 carries a uniform charge of 5 mC/m. a) Find D at P(3, 0, 0). b) If two identical point charges Q are placed at (0, -3, 0) and (0, 3, 0) in addition to the ring, find the value of Q such that D = 0 at P. ABOUT THE SOLUTION PROVIDED BY BARTLEBY: Shouldn’t r be calculated between each charge and P(3,0,0) – in that case, Bartleby is wrong? Please refer to the image for what I've done. What am I doing wrong? Can you further explain the progress made in the solution? Thank you!

Please assist with non graded problem. Question about the item b of Chapter 4, Problem 21P – Sadiku's Elements of Electromagnetics 7th Edition (I have submited Bartleby's solution link but I was asked to sent another question without it. I did it, and was asked AGAIN to resubmit copying the question, so here it is): 21P: A ring placed along y2 + z2 = 4, x = 0 carries a uniform charge of 5 mC/m. a) Find D at P(3, 0, 0). b) If two identical point charges Q are placed at (0, -3, 0) and (0, 3, 0) in addition to the ring, find the value of Q such that D = 0 at P. ABOUT THE SOLUTION PROVIDED BY BARTLEBY: Shouldn’t r be calculated between each charge and P(3,0,0) – in that case, Bartleby is wrong? Please refer to the image for what I've done. What am I doing wrong? Can you further explain the progress made in the solution? Thank you!

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Please assist with non graded problem.

Question about the item b of Chapter 4, Problem 21P – Sadiku's Elements of Electromagnetics 7th Edition (I have submited Bartleby's solution link but I was asked to sent another question without it. I did it, and was asked AGAIN to resubmit copying the question, so here it is):

21P: A ring placed along y2 + z2 = 4, x = 0 carries a uniform charge of 5 mC/m.

a) Find D at P(3, 0, 0).

b) If two identical point charges Q are placed at (0, -3, 0) and (0, 3, 0) in addition to the ring, find the value of Q such that D = 0 at P.

ABOUT THE SOLUTION PROVIDED BY BARTLEBY:

Shouldn’t r be calculated between each charge and P(3,0,0) – in that case, Bartleby is wrong? Please refer to the image for what I've done. What am I doing wrong? Can you further explain the progress made in the solution?

Thank you!

Dtotal = D+ DQ, +DQ2 (128) Charges field: EQ aR (129) 4TE, R? Q(r – rQ) 4TE,R3 (130) in which ar is measured from the charge to P. Therefore, the flux density for the charges is: Q(r – rQ) 4|r – rq|3 (131) For the charge put in (0, –3, 0), the flux density is: Q (3,0,0) – (0, –3,0) 4т [(3,0, 0) — (0, —3, 0)|3 Q (3, 3,0) 4T (V18)3 (132) (133) For the charge put in (0,3,0), the flux density is: Q (3,0,0) – (0, 3,0) 4т |(3,0, 0) — (0, 3, 0)[3 Q (3, –3,0) 4т (V18)3 Therefore, the flux in P shall be 0 and is given by: Q (3, 3, 0) (134) (135) Q (3, –3,0) 0 = 0.32a + (136) 4т (V18)3 4x (V18)3 Q (6,0, 0) 4r (V18)³ 6Q (1,0,0) 4# (V18)³ = 0.32(1,0, 0) + (137) = 0.32(1,0,0) + (138) Therefore: 6Q -0, 32 (139) 4т(V18)3 which gives: Q = -51, 182µC (140)
Transcribed Image Text:Dtotal = D+ DQ, +DQ2 (128) Charges field: EQ aR (129) 4TE, R? Q(r – rQ) 4TE,R3 (130) in which ar is measured from the charge to P. Therefore, the flux density for the charges is: Q(r – rQ) 4|r – rq|3 (131) For the charge put in (0, –3, 0), the flux density is: Q (3,0,0) – (0, –3,0) 4т [(3,0, 0) — (0, —3, 0)|3 Q (3, 3,0) 4T (V18)3 (132) (133) For the charge put in (0,3,0), the flux density is: Q (3,0,0) – (0, 3,0) 4т |(3,0, 0) — (0, 3, 0)[3 Q (3, –3,0) 4т (V18)3 Therefore, the flux in P shall be 0 and is given by: Q (3, 3, 0) (134) (135) Q (3, –3,0) 0 = 0.32a + (136) 4т (V18)3 4x (V18)3 Q (6,0, 0) 4r (V18)³ 6Q (1,0,0) 4# (V18)³ = 0.32(1,0, 0) + (137) = 0.32(1,0,0) + (138) Therefore: 6Q -0, 32 (139) 4т(V18)3 which gives: Q = -51, 182µC (140)
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