NOTE : FOR ANSWERS REFER ONLY MATTHEW . N.O. SADIKU BOOK
UNIT –I & II
(SHORT QUESTIONS)
Preparing these questions thoroughly will be sufficient for any student to take up the test
examination. Refere matthew n.o. saiko book, it is sufficient.
Note: i. Vectors are shown as bold type ii. Mathematical operator del is shown inverted.
1. What is a scalar triple product and vector triple product? Give relations.
2. Draw the diagram of differential volume (dv) in cylindrical coordinate system and write the
equation for (i) differential length (ii) differential surfaces and (iii) differential volume.
3. Draw the diagram of differential volume (dv) in spherical coordinate system and write the
equation for (i) differential length (ii) differential surfaces and (iii) differential volume.
4. Write a relation between Cartesian and Cylindrical coordinate system.
5. Write a relation between spherical and Cartesian coordinate system.
6. Write the formula for mathematical operator mathematical operator del (∆) in different
coordinate systems.
7. Think logically and tell the examples for scalar field and vector field.
8. Potential (V) is a scalar function, (i) What does ∆V mean. (ii) Express ∆V in different coordinate
systems. (iii) ∆V is a scalar or vector function.
9. Electrical field intensity (E) is a vector quantity, (i) ∆∙ E is a scalar or vector function. (ii) express
∆∙ E in different coordinate systems.
10. Electrical field intensity (E) is a vector quantity, express the equation for divergence. (i) We
know D = ε E, What does Integral of E∙ds gives.
11. Write in one line, what exactly ∆∙ D means.
12. What is stokes theorem? Give the relation between line and surface integral.
13. Name the theorem gives the relation between surface and volume integral.
14. Give the relation between surface and volume integral.
15. Write the equation for coulomb’s law in vector form.
16. Given Q1 and Q2 are electric charges separated by distance ‘r’. Express the formula for E at Q1
due Q2 and vice versa.
17. Draw the diagram of an infinite line charge and along Z-axis and tell which component of
electrical field will be absent.
18. An infinite line charge is along X-axis. A point ‘P’ is present in space at distance ‘r’ from infinite
line charge. Write the equation for E ending with a unit vector.
19. What is the unit of electrical field intensity?
20. Say whether superposition theorem is valid for electrical charges are not?
21. What are the different types of charge distribution?
22. Write an expression for E at a point ‘P’ located on X-axis when an uniform electrical charged ring
is present in YZ – plane. Which component of E gets cancelled, draw and show.
23. Write an expression for E for a uniformly circular charged disc present in XY-plane at a point P
located on Z-axis.
24. What conclusion about the expression for uniformly charged circular disc.
25. What does Gauss theorem state ? Write the expression and statement.
26. What are the limitations of Gauss law?
27. What will be shape of Gaussian surface for a (i) point charge (ii) line charge.
28. Uniform surface charge is present on the outer surface of a sphere of radius ‘r’. Draw the
variation of E with respect to distance.
29. Write the expression for E for a uniformly charged sphere.
30. Write the first Maxwell equation or show ∆∙ D = ρv.
31. What is an electrical potential?
32. Explain the concept of electric potential and work done, write the end equations.
33. Write the expression for electrical potential for the following cases. Case-1: A point charge (Q) is
located at the origin of a coordinate system and a unit point charge (q) is moved from infinity
(reference point, V = 0) towards point charge (Q). Case -2: A point charge (Q) is located in XY –
plane and a unit point charge (q) is moved from infinity (reference point, V = 0) towards the
point charge(Q). Case -3: A point charge (Q) is located in XY- plane and a unit point charge (q) is
moved towards Q from some other point ‘P’, also given that in Case (iii), reference potential V =
0 is at the origin of the coordinate system.
34. What is a conservative field. Tell whether electric field E is rotational (solenoidal) or irrorational
field.
35. What is the net work done in moving a point charge ‘Q’ in an conservative electric field.
36. Show that ∆ X E = 0.
37. Give the relationship between E and V.
38. Write the expression for energy stored in an electrostatic fields. Write also other expression for
energy stored in an electrostatic fields.
39. Define current.
40. Define current density.
41. Express the relation between current (I) and current density (J). Show I = Integral of (J∙ ds)
42. Show that J = σE.
43. Write the expression for point form of Ohm’s law.
44. What is an electrical dipole. Give an expression for electric dipole moment.
45. Give the expression for (i) electrical dipole intensity (ii) electrical potential due a electrical
dipole, (iii) Torque equation for a dipole.
46. Electric current is due conduction in conductors, answer, in dielectrics conduction is due to?
47. What is polarization in dielctrics, discuss briefly.
48. Give the relation between D, E and P.
49. What is susceptivity.
50. Obtain laplace and poisons equation.
51. Using laplace equation obtain the equation for potential for a spherical capacitor.
52. Recall your class lecture and tell in which situation you can use laplace and poisons equations.
NOTE : FOR ANSWERS REFER ONLY MATTHEW . N.O. SADIKU BOOK
UNIT –I & II
(PROBLEMS)
Note: i. Vectors are shown as bold type ii. Mathematical operator del is shown inverted.
Work out the following problems, all are from matthew n.o. sadiku.(fourth edition)
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Example 2.3 (Page – 39)
Example 2.6 (page – 45)
Example 2.9 (page – 53)
Practice exercise (page – 87)
Example 3.5 (page – 88)
Example 3.6 (page – 89)
Example 3.8 (page - 98)
Example 3.11 (page – 104)
Example 3.12 (page – 108)
Practice exercise 3.13 (page – 113)
ALL THE BEST