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QUESTION 4 Given a triangular prism (see Figure Q4) with five surfaces: triangular plane at the top Si, triangular plane at the bottom S2, rectangular surface at yz-plane Sa, rectangular surface at xz- plane Sa, and x +y =l plane, Ss. SL S4 Ss S3 Figure Q4 Given the solid is q = E, f[E. dS net charge enclosed by the where E = 8.8542 x 10 c / Nm? and the electric field is E(x, y, z) = yi -5xj+3z*k. Find the surface integrals for S1, S2, S3, Sa and Ss. Then, determine the net charge enclosed by this triangular prism where S = Si U S2 U S3 U SA U Ss.

QUESTION 4 Given a triangular prism (see Figure Q4) with five surfaces: triangular plane at the top Si, triangular plane at the bottom S2, rectangular surface at yz-plane Sa, rectangular surface at xz- plane Sa, and x +y =l plane, Ss. SL S4 Ss S3 Figure Q4 Given the solid is q = E, f[E. dS net charge enclosed by the where E = 8.8542 x 10 c / Nm? and the electric field is E(x, y, z) = yi -5xj+3z*k. Find the surface integrals for S1, S2, S3, Sa and Ss. Then, determine the net charge enclosed by this triangular prism where S = Si U S2 U S3 U SA U Ss.

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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QUESTION 4 Given a triangular prism (see Figure Q4) with five surfaces: triangular plane at the top S1, triangular plane at the bottom S2, rectangular surface at yz-plane Sa, rectangular surface at xz- plane Sa, and x +y =I plane, Ss. S4 Ss S3 Figure Q4 Given the charge enclosed by the solid is q = E,S[E- dS where net 6, = 8.8542 x 10 c?/ Nm? and the electric field is E(x, y, z) = yi- 5xj+3z°k. Find the surface integrals for S1, S2, S3, Sa and Ss. Then, determine the net charge enclosed by this triangular prism where S = Si U S2 U S3 U SaU Ss. %3D
Transcribed Image Text:QUESTION 4 Given a triangular prism (see Figure Q4) with five surfaces: triangular plane at the top S1, triangular plane at the bottom S2, rectangular surface at yz-plane Sa, rectangular surface at xz- plane Sa, and x +y =I plane, Ss. S4 Ss S3 Figure Q4 Given the charge enclosed by the solid is q = E,S[E- dS where net 6, = 8.8542 x 10 c?/ Nm? and the electric field is E(x, y, z) = yi- 5xj+3z°k. Find the surface integrals for S1, S2, S3, Sa and Ss. Then, determine the net charge enclosed by this triangular prism where S = Si U S2 U S3 U SaU Ss. %3D
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