Exam Details
| Subject | Electromagnetic Field Theory | |
| Paper | ||
| Exam / Course | BTCVI / BTECVI / BTELVI | |
| Department | School of Engineering & Technology (SOET) | |
| Organization | indira gandhi national open university | |
| Position | ||
| Exam Date | December, 2016 | |
| City, State | new delhi, |
Question Paper
No. of Printed Pages: 4
B.Tech. -VIEP -ELECTRONICS AND COMMUNICATION ENGlNEERING
(BTECVI)
DD2R...:; Term-End Examination December, 2016
BIEL-006 ELECTROMAGNETIC FIELD THEORY
Time: 3 hours Maximum Marks: 70
Note: Attempt any seven questions. All questions carry equal marks. Symbols used have their usual meanings.
1. Explain the differences between gradient, divergence and curl. 5
A and B are the vector fields given by 2xax ay+yzaz and
B xy az xyz az. Find the component of A along B at a vector perpendicular to both A and B at whose magnitude is unity. 5
2. State Gauss' law. What is Gaussian surface? 5
A spherical volume of radius has a volume charge density Pv where k is a constant and r is the radial distance. Find the expressions for E in the region r r r a. Plot the field. 5
3. What is meant by conservative field Find the work done in carrying 5 C of charge from a point to a point in an electric field E =ax z^2 ay 2yzliz 5
Given the potential function
V =5x^2yz ky^z.
Determine k so that the Laplace's equation is satisfied. For the value of specify the direction of electric field intensity at 5
4. State Biot-Savart law. Express it mathematically 5
A circular loop of radius is located on the x-y plane with its centre at the origin. The loop current is I. Show that the magnetic field intensity at is given by
H I a^2 az.What will be the value of H at the Centre? 5
5. What is displacement current Show that the displacement current density is equal to dD/dt 5
In free space E =20 cos (wt -50x)ay V/m. Calculate JD and w5 5
6. What is a plane wave Derive the condition for uniform plane wave. 5
A uniform plane wave at· frequency f =20 MHz is travelling along the positive z-direction in a medium having o=4.5 x S/m,er =8.0 and mr 1.0. Calculate the attenuation constant, phase constant, propagation constant, intrinsic impedance, and phase velocity of the wave. 5
7. Determine.the transmission line differential equations. From the solutions of the equations obtain the expressions for propagation constant and characteristic impedance. Hence find out the expressions for the above two quantities for
loss-less, and distortion-less conditions. 10
8. Define transverse magnetic waves. An ideal parallel plate waveguide has conducting plates located at x and x =a. The TM wave is travelling along positive z-direction between the plates. Derive the expressions for the electric field in x and z directions and magnetic .field in y-direction.
9. Distinguish between the following: 2 x 5=10
Scalar magnetic potential and Vector magnetic potential
Intrinsic impedance and Surface impedance
10. Write notes on any two of the following: 2 x 5=10
Continuity of current equation
Energy stored in magnetic field
Complex Poynting Vector
B.Tech. -VIEP -ELECTRONICS AND COMMUNICATION ENGlNEERING
(BTECVI)
DD2R...:; Term-End Examination December, 2016
BIEL-006 ELECTROMAGNETIC FIELD THEORY
Time: 3 hours Maximum Marks: 70
Note: Attempt any seven questions. All questions carry equal marks. Symbols used have their usual meanings.
1. Explain the differences between gradient, divergence and curl. 5
A and B are the vector fields given by 2xax ay+yzaz and
B xy az xyz az. Find the component of A along B at a vector perpendicular to both A and B at whose magnitude is unity. 5
2. State Gauss' law. What is Gaussian surface? 5
A spherical volume of radius has a volume charge density Pv where k is a constant and r is the radial distance. Find the expressions for E in the region r r r a. Plot the field. 5
3. What is meant by conservative field Find the work done in carrying 5 C of charge from a point to a point in an electric field E =ax z^2 ay 2yzliz 5
Given the potential function
V =5x^2yz ky^z.
Determine k so that the Laplace's equation is satisfied. For the value of specify the direction of electric field intensity at 5
4. State Biot-Savart law. Express it mathematically 5
A circular loop of radius is located on the x-y plane with its centre at the origin. The loop current is I. Show that the magnetic field intensity at is given by
H I a^2 az.What will be the value of H at the Centre? 5
5. What is displacement current Show that the displacement current density is equal to dD/dt 5
In free space E =20 cos (wt -50x)ay V/m. Calculate JD and w5 5
6. What is a plane wave Derive the condition for uniform plane wave. 5
A uniform plane wave at· frequency f =20 MHz is travelling along the positive z-direction in a medium having o=4.5 x S/m,er =8.0 and mr 1.0. Calculate the attenuation constant, phase constant, propagation constant, intrinsic impedance, and phase velocity of the wave. 5
7. Determine.the transmission line differential equations. From the solutions of the equations obtain the expressions for propagation constant and characteristic impedance. Hence find out the expressions for the above two quantities for
loss-less, and distortion-less conditions. 10
8. Define transverse magnetic waves. An ideal parallel plate waveguide has conducting plates located at x and x =a. The TM wave is travelling along positive z-direction between the plates. Derive the expressions for the electric field in x and z directions and magnetic .field in y-direction.
9. Distinguish between the following: 2 x 5=10
Scalar magnetic potential and Vector magnetic potential
Intrinsic impedance and Surface impedance
10. Write notes on any two of the following: 2 x 5=10
Continuity of current equation
Energy stored in magnetic field
Complex Poynting Vector
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