Download GTU BE/B.Tech 2019 Winter 5th Sem Old 151002 Engineering Electromagnetics Question Paper

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BE - SEMESTER-V (Old) EXAMINATION — WINTER 2019

Subject Code: 151002 Date: 04/12/2019

Subject Name: Engineering Electromagnetics

Time: 10:30 AM TO 01:00 PM Total Marks: 70

Instructions:

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1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.

Q.1 (a) Explain Cylindrical co-ordinate system with a neat sketch giving details of their unit vectors and point form and vector form representations. 07

(b) Define curl and give its physical interpretation. Also give relation of curl in all three co-ordinate system. 07

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Q.2 (a) State Coulomb’s law and give its mathematical expression. From that deduce expression of electric field intensity E for point charges. 07

(b) Find Electric Field Intensity E at a point on Z-axis, due to circular ring charge with charge density pL C/m present in XY plane. 07

OR

(b) State and prove divergence theorem. Relate Gauss’s law with divergence theorem. 07

Q.3 (a) State & explain the Biot-Savart’s Law and derive the necessary equations of Magnetic field Intensity H. 07

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(b) A circular loop located on X² + Y² =9, Z=0 carries a current of 10 A along fs. Determine H at (0,0,4) and (0,0,-4). 07

OR

(a) A circular current carrying loop is lying on x-y plane. Derive the equation of Magnetic field intensity H on the axis of a circular loop. Also find H at the center of the loop. 07

(b) Evaluate Stoke’s theorem for the field H =-6xy 4x - 3y² 4y amp/meter if rectangular path around the region is 2 <x <5, -1 <y <1 and z=0. Also find out current I. 07

Q.4 (a) Derive electrostatic Boundary conditions for Dielectric to Dielectric interface. 07

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(b) Find the potential and volume charge density at P (0.5, 1.5, 1) in free space if potential field is given as V = 6 ?dz. 07

OR

(a) A boundary exist at z=0 between two dielectric. e1 = 2.5 in region z<0. e2 =4 in region z>0. The electric field in the region of e1 is E1 =-30 ax + 50 ay + 70 az V/m. then find out 07

1. Normal component of E;
2. Tangential component of E;

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3. Angle T1 between E1 and normal to the surface
4. Normal component of D;
5. Tangential component of D;
6. Angle T2 between E2 and normal to the surface

(b) Define Torque. Derive the equation of Torque on a close current carrying loop which is placed in steady magnetic field. 07

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Q.5 (a) Derive Maxwell’s equations in point and Integral form for time varying fields. 07

(b) Derive the equation of Capacitance (C) and Energy stored (W) for parallel plate capacitor. 07

OR

(a) Explain wave propagation in free space with necessary equations. 07

(b) Derive point form of Ampere’s Circuital Law. 07

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