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

1. Roll No.
Guru Nanak Education Trust Group of Institution
Electromagnetic Field Theory (TEC-401)
1st Sessional Examination 2012-13
B.Tech (ECE) 2nd Year
Attempt All Questions. Each Question Carry equal marks. M.M. 30
Write 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 Year
Attempt All Questions. Each Question Carry equal marks. M.M. 30
Write 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