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ASSIGNMENT UNIT-I 1. Point charges 1mC and -2mC are located at (3, 2, -1) and (-1, -1, 4) respectively. Calculate the electric force on a 10nC charge located at (0, 3, 1) and the electric field intensity at that point. Ref: Principles of Electromagnetics – Matthew. N. O. Sadiku, Page 75, Example 3.1. 2. A charge of 0.5μC is located at A(30, -25, 15)cm and a second charge of 0.8μC is located at B(12, -8, 10)cm. Find the electric field strength at i) origin ii) point P (15, 20, 50)cm. 3. If three Point charges 3Q, -2Q and 1Qare located at each corner of an equilateral triangle then obtain electric field intensity at midpoint of 3Q and 1Q side. 4. A circular disk of radius a is uniformly charged with ρs C/m2. The disk lies on Z=0 plane with its axis along the Z axis. Show that at point (0, 0, h) E 

  s  h 1  2 az 2 0  h  a 2 12   

Ref: Principles of Electromagnetics – Matthew. N. O. Sadiku, Page 87, PE 3.4. 5. Given the potential V 

10 sin  cos  (a) Find the electric flux density D at (2, π/2, 0). (b) r2

Calculate the work done in moving a 10µC charge from point A (1, 300, 1200) to B (4, 900, 600). Ref: Principles of Electromagnetics – Matthew. N. O. Sadiku, Page 109, Example 3.12.

UNIT-II 6. A dipole of moment P=6az nC.m is located at the origin in free space. (a) Find V at P (r=4, θ=200, Ø=00). (b) Find E at P. Ref: Engineering Electromagnetics – W. H. Hayt, Page No: 105, D4.10 7. Derive the continuity of current equation and point form of Ohm’s law. 8. An electric dipole located at origin in free space has a moment 𝑃 = 3𝑎 ̅̅̅𝑥 − 2𝑎 ̅̅̅𝑦 + ̅̅̅ 𝑎𝑧 nC-m. Find potential at A(2, 3, 4). 9. In a certain region, J  3r 2 cos a r r 2 sin a A/m. Find the current crossing the surface defined by θ=300, 0 < Ø < 2π, 0 < r < 2m. Ref: Principles of Electromagnetics – Matthew. N. O. Sadiku, Page 163, 4.2.

UNIT-III 10. A capacitor consists of two metal plates each 120cm2, placed parallel and 3mm apart. The whole of space between the plates is filled with a dielectric having a relative permittivity of 4. A potential difference of 400V is maintained between the plates. Determine i) the capacitance, ii) The charge on the capacitor, iii) The electric flux density and iv) the potential gradient. 11. A parallel plate capacitor with air as dielectric has a plate area of 36p cm2 and a separation between the plates of 1mm. It is charged to 100V by connecting it across a battery. If the battery is disconnected and plate separation is increased to 2mm, calculate the change in (i) p.d across the plate and (ii) energy stored. 12. Derive the equation for capacitance of Co-axial Capacitor and Spherical Capacitor. 13. State and explain Biot-Savart’s law and define magnetic Field Intensity (H).