Electromagnetic Field Theory Mar 2013

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1st Sessional Examination of Guru Nanak Education Trust Group of Institution, Roorkee

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Electromagnetic Field Theory Mar 2013

  1. 1. Roll No. Guru Nanak Education Trust Group of Institution Electromagnetic Field Theory (TEC-401) 1st Sessional Examination 2012-13 B.Tech (ECE) 2nd YearAttempt All Questions. Each Question Carry equal marks. M.M. 30Write down your Roll No on the Question paper. Time: 1.00 Hr 1. (a) Write down the gradient of any scalar and divergence and curl of any vector. A in different coordinate system. (b) Determine the gradient of the following scalar fields- i. U = e-z sin2x coshy ii. V = ρ2z cos2φ iii. W = 10r sin2θ cosφ 2. (a) Express the given vector A = xy2z ax + x2yz ay + xyz2 az in cylindrical and spherical coordinate system. (b) Points P and Q are located at (0,2,4) and (-3,1,5). Calculate i. The Position vector P. ii. The distance vector from P to Q. iii. The distance between P and Q. iv. A vector parallel to PQ with magnitude of 10. v. Find P.Q 3. (a) State and explain Divergence Theorem in detail. (b) Determine the divergence of these vectors fields. i. P = x2yz ax + xz az ii. Q = ρ Sinφ aρ + ρ2z aφ + z cosφ az iii. T = cosθ ar + r sinθ cosφ aθ + cosθ aφ Read every Question completely and then attempt it in correct manner. All the Best Roll No. Guru Nanak Education Trust Group of Institution Electromagnetic Field Theory (TEC-401) 1st Sessional Examination 2012-13 B.Tech (ECE) 2nd YearAttempt All Questions. Each Question Carry equal marks. M.M. 30Write down your Roll No on the Question paper. Time: 1.00 Hr 1. (a) Write down the gradient of any scalar and divergence and curl of any vector. A in different coordinate system. (b) Determine the gradient of the following scalar fields- i. U = e-z sin2x coshy ii. V = ρ2z cos2φ iii. W = 10r sin2θ cosφ 2. (a) Express the given vector A = xy2z ax + x2yz ay + xyz2 az in cylindrical and spherical coordinate system. (b) Points P and Q are located at (0,2,4) and (-3,1,5). Calculate i. The Position vector P. ii. The distance vector from P to Q. iii. The distance between P and Q. iv. A vector parallel to PQ with magnitude of 10. v. Find P.Q 3. (a) State and explain Divergence Theorem in detail. (b) Determine the divergence of these vectors fields. i. P = x2yz ax + xz az ii. Q = ρ Sinφ aρ + ρ2z aφ + z cosφ az iii. T = cosθ ar + r sinθ cosφ aθ + cosθ aφ Read every Question completely and then attempt it in correct manner. All the Best

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