7. Which following equation is not one of the Maxwell's equations:
(A)
(B)
(C)
(D)

8. The plates of a parallel-plate capacitor has areas of 10 cm² each and are separated by 1 cm. The capacitor is filled with a dielectric material with ε = 4ε₀, where ε₀ = 8.85 × 10⁻¹² F/m, and the voltage across it is given by V(t) = 30cos(2π×10⁶t) (V). What is the displacement current? (A) Id = 2.4πε₀ × 10⁷sin(2π × 10⁷t) ( A ) (B) Id = 2.4πε₀ × 10⁹cos(2π × 10⁷t) ( A ) (C) Id = 2.4πε₀ × 10⁹sin(2π × 10⁷t) ( A ) (D) None of the above.

9. Considering a plane electromagnetic wave traveling in a material with a permittivity ε and a permeability μ, what is the phase velocity of the wave? (A) (B)  (C) με (D) none of the above.

10. The instantaneous expression of the electric field of a plane wave in vacuum is given by (z,t) = âx E₀cos(ωt - βz). The intrinsic impedance (also called the wave impedance) is η₀. What is the instantaneous expression of the Poynting vector? (A) (B)(C) (D) none of the above.

11. A linearly polarized plane wave () with a frequency of 100 MHz propagates in vacuum in the +z direction. It impinges normally on a perfectly conducting plane at z = 0 and gets reflected. The reflected wave is denoted by (). The incident and the reflected waves form a standing wave. Determine the location nearest to the conducting plane where the total magnetic field +is zero. (A) z = -3 (m) (B) z = -1.5 (m) (C) z = -0.75 (m) (D) none of the above.

12. Total internal reflection can occur at the interface between water and air. Assume the refractive index of water is 1.33. Which one of the following is closest to the critical angle at the water-air interface? (A) 36° (B) 42° (C) 45° (D) 49°.

13. The following characteristics have been measured on a distortionless lossy transmission line at 100 MHz: Characteristic impedance: Z₀ = 50 Ω attenuation constant: α = 0.0869(dB/m) phase constant: β = 0.8π (rad/m) please evaluate the value of the R in the RLGC model for this distortionless lossy transmission line. (A) 0.1 Ω/m (B) 0.5 Ω/m (C) 4.345 Ω/m (D) none of the above

14. Given a load with a reflection coefficient ΓL = 0.7 ej7/6πunder the characteristic impedance (Z₀), as the figure shown below. Now, we use a transmission line with characteristic impedance of Γline and length of l to match this load to the characteristic impedance (Z₀). Which Zline in the selection items have the best matching condition? (A) 0.33 Z₀ (B) 3.06 Z₀ (C) 0.72 Z₀ (D) Z₀

15. Evaluate the input reflection coefficient (Γin) of the circuit constructed with an ideal transformer and a resistor as the figure shown below. It is noted that the characteristic impedance for evaluating the reflection coefficient (Z₀) is 50 Ω. Please select the most close value Γin between the selection items(A) -0.89 (B) 0.3 (C) 0.89 (D) -0.3

16. A d-c voltage (6V) is applied at t=0 directly to the input terminals of an 25-Ω terminated lossless coaxial of 3m length as the figure below. The initial condition of voltage and current of the cable are 0V and 0A. The dielectric constant (∈r) of the insulating material in the cable is 4, and the characteristic impedance of the cable (Z₀) is 50Ω. Determine the voltage value at the midpoint of the line at 60μs. (A) 6V (B) 5.3V (C) 4V (D) none of the above

17. A parallel-plate waveguide has the two plates separated by 1 cm and is filled with a lossless dielectric with a dielectric constant of 2.1. What's the total number of waveguide modes that can propagate with the operating wavelength of 3 mm? (A) 14 (B) 16 (C) 9 (D) none of the above

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