Electromagnetism Problems PDF

## Electromagnetism Problems ### Page 1 21. Point charge Q₁ = 300µC, located at (1,-1,-3)m, experiences a force due to Q₂ = -40μC located at (3,-3,-2). Apply Coulomb's law to find the force on Q₁. * A diagram is provided showing a 3-dimensional Cartesian coordinate system with two points labeled Q...

## Electromagnetism Problems ### Page 1 21. Point charge Q₁ = 300µC, located at (1,-1,-3)m, experiences a force due to Q₂ = -40μC located at (3,-3,-2). Apply Coulomb's law to find the force on Q₁. * A diagram is provided showing a 3-dimensional Cartesian coordinate system with two points labeled Q₁ and Q₂. Q₁ lies at (1,-1,-3) and Q₂ lies at (3,-3,-2). 22. Define Gauss's law and derive its point form. 23. An infinite current sheet lies in the Z=0 plane with K = Kyay. Find H. 24. In a lossless dielectric for which η = 60Ω, μ, = 1. Find εγ. 25. Find the characteristics impedance of the transformer as shown * A diagram is provided showing a transformer with two sides labeled ZL = 50Ω and Z1 = 1000Ω. Both sides have a length of λ/4. 26. Compare circuit and field theory. 27. Differentiate transverse magnetic (TM) mode and transverse electric (TE) mode. ### Page 2 21. A point charge of Q₁=3×10⁻⁴C and Q₂ =-10⁻⁴C are located at (1,2,3) and (2,0,5). Find the electric force F on Q₂ by Q₁. 22. State divergence theorem and give its expression. 23. Given D= 0.3r²a, nC/m² in free space. Find the total charge with in the sphere r =3. 24. Derive an expression for magnetic field intensity due to infinite line current using Ampere's circuital law. 25. Write the significance of wave propagation in a good conductor with relevant parameters. 26. An ideal loss-less quarter wave transmission line of characteristics impedance 60Ω is terminated in a load impedance Z₁. Calculate the value of input impedance of line when Z₁ = 0,∞ and 60Ω 27. Explain single stub matching on a line. ### Page 3 21. Find the electronic field intensity at P(-4, 6, -5) in free space caused by a charge of 0.1mC at (2,-1,-3). 22. Give the relation between E and V and find the field intensity of T = 2y²-5z at (-2,1,4). 23. State Biot Savart's law and find the magnetic field intensity when the flux density is 8×10⁻⁶ Tesla in the medium of the air. 24. Compare transverse magnetic and transverse electric wave. 25. Determine the standing wave ratio if load impedance is 120 – j60Ω and the characteristic impedance is 300Ω. 26. What is an infinite line and give its physical significance. 27. The short circuit impedance is given by 18Ω and the characteristic impedance is 50Ω. Find the open circuit impedance. ### Page 4 #### Answer any 5 Questions 21. State and explain vector form Coulomb's law of force. 22. Two identical conducting spheres have charges of 2nC and -0.5nC. When they are brought into contact and then separated by 4cm, What is the force between them? 23. Find the incremental field strength at P₂ due to current element of 2πâ₂µA/m at P₁. The coordinates of P₁ and P₂ are (4,0,0) and (0,3,0) respectively. 24. Derive the equation for energy stored in capacitor. 25. State and explain Ampere circuit law. 26. State and define propagation constant and draw the equivalent circuit of a transmission line 27. What is stub matching? Give the names of circles on the smith chart