A transmission line with characteristic impedance Z0=50ΩZ_0 = 50\OmegaZ0=50Ω is terminated by ZL=(60+j30)ΩZ_L = (60 + j30)\OmegaZL=(60+j30)Ω. The operating wavelength is λ=50 cm\lambda = 50 \, \text{cm}λ=50cm. Using these values
ENMG300 Electromagnetics Assignment 1 2026 | University of Dubai
ENMG300 Electromagnetics Assignment 1
Course Learning Outcomes (CLO)
| CLOs | Course Learning Outcomes (CLO)* | Questions | Marks | CLO Points |
|---|---|---|---|---|
| 1 | Recall basic laws of electrostatics, magnetism, electric circuits, complex numbers and vector calculus. | 1, 2, 3 | 12 | 3 |
| 2 | Calculate transmission line parameters and performance factors for different types of transmission lines. | 4, 5 | 8 | 2 |
| Total | 5 | 20 | 5 |
Question-wise Distribution
| Question | Q1 | Q2 | Q3 | Q4 | Q5 | Total |
|---|---|---|---|---|---|---|
| Grade | ||||||
| Out of | 4 | 4 | 4 | 4 | 4 | 20 |
| CLO Points | 1 | 1 | 1 | 1 | 1 | |
| Out of | 1 | 1 | 1 | 1 | 1 | 5 |
Question 1
Recall the formulas for multiplication, division, and conjugation of complex numbers.
For z1=2+j5z_1 = 2 + j5z1=2+j5 and z2=2−j2z_2 = 2 - j2z2=2−j2 (r<90∘)(r < 90^\circ)(r<90∘)
a) z1z2z_1 z_2z1z2
b) z1/z2z_1 / z_2z1/z2
c) z1z2∗z_1 z_2^*z1z2∗
(4 points)
Question 2
The electric field of a travelling electromagnetic wave is:
E(x,t)=3cos(π×104t±5x) V/mE(x,t) = 3 \cos (\pi \times 10^4 t \pm 5x) \ \text{V/m}E(x,t)=3cos(π×104t±5x) V/m
From this expression, recall and find:
a) the direction of wave propagation
b) wave frequency
c) wavelength λ\lambdaλ
d) phase velocity upu_pup
(4 points)
Question 3
An electromagnetic wave travels through seawater. Its amplitude is measured as 98.02 V/m at a depth of 10 m and 81.87 V/m at a depth of 100 m.
Using these values, recall the relation for wave attenuation and determine the attenuation constant of seawater.
(4 points)
Question 4
A parallel-plate transmission line operates at 1 GHz. It consists of copper strips of width 2.4 cm, separated by a 0.3 cm thick layer of polystyrene. The parameters are:
- Copper: μc=μ0=4π×10−7 H/m\mu_c = \mu_0 = 4\pi \times 10^{-7} \, \text{H/m}μc=μ0=4π×10−7H/m, σc=5.8×107 S/m\sigma_c = 5.8 \times 10^7 \, \text{S/m}σc=5.8×107S/m
- Polystyrene: εr=2.6\varepsilon_r = 2.6εr=2.6
Using these values, calculate the primary transmission line constants:
a) R′R'R′ (resistance per unit length)
b) L′L'L′ (inductance per unit length)
c) C′C'C′ (capacitance per unit length)
d) G′G'G′ (conductance per unit length)
(4 marks)
Question 5
A transmission line with characteristic impedance Z0=50ΩZ_0 = 50\OmegaZ0=50Ω is terminated by
ZL=(60+j30)ΩZ_L = (60 + j30)\OmegaZL=(60+j30)Ω. The operating wavelength is λ=50 cm\lambda = 50 \, \text{cm}λ=50cm.
Using these values, calculate:
a) the reflection coefficient
b) voltage standing wave ratio (VSWR)
c) the location of voltage maxima
d) the location of voltage minima
(4 marks)
