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Engineering Electromagnetics
- A lossless transmission line is 50 cm in length and operates at a frequency of 100 MHz. The line parameters are L = 0.2μH/m and C = 80 pF/m. The line is terminated by a load ZL = 50 + j20 Ω. Determine the: (a) reflection coefficient ; (b) SWR ; (c) the input impedance of the line. (d) What average power is delivered to ZL if the input voltage is 100 V?arrow_forward1. We have a two-wire overhead transmission line, powered by a constant voltage source of 700 V. The values for the inductance of the conductors are 2.348x10-3 H/km and the capacitance values are 6.325x10-9 F/km. Assuming an ideal (lossless) line and its length of 130 km, determine the speed at which it propagates. PLEASE MAKE IT DIGITAL BECAUSE HAND WRITING GETS UNDERSTANDINGarrow_forwardA lossless transmission line has an inductance of 125 nH/m. Find the velocity factor for this line if the shunt capacitance is 200 nF/m.arrow_forward
- Example: A telephone cable operating at frequency of 30 KHz, and it has the following parameters R = 52.5Ω/Km, G = 0, C = 0.062µF/Km and L = 1.1mH/Km. Calculate: 1) α, β, λ, vp 2) The length of the line which gives attenuation of 25 dB.arrow_forwardA lossless transmission line has a Zo of 50 ohms and a line velocity of 2.4 x 10^8 m/s. If the operating frequency is 1 MHz. Determine the capacitance in pf.arrow_forwardQI/ A lossless coaxial cable of 170 mm long has the parameters L — 245 nWm andC — 200 pF/m. The operating frequency is f —I GHz and the line is terminated by ZL —100 Q, determine:A) The characteristic impedance.B) The input impedance at the input terminals of the line.C) The standing wave ratio on the line.arrow_forward
- QI/ A lossless coaxial cable of 170 mm long has the parameters L 245 nH/m and C 200 pF/m. The operating frequency is f 1GHz and the line is terminated by ZL 100 ome, determine: A) The characteristic impedance .B) The input impedance at the input terminals of the line. C) The standing wave ratio on the line.arrow_forwardFind out the general solution for a transmission line due to transient voltage,where ,e = f(x-at) + F(x+at)arrow_forwardA transmission line of characteristic impedance 40 ohms and length 6.2λ is terminated by an unknown load impedance. The reflection coefficient, Γ, looking into the transmission line at the input is 0.45+j0.55 What is the unknown load impedance?arrow_forward
- A 350 km transmission line has the following parameters: z = 0.0195 +j0.35 Ω/km y = j4.5 μS/km If the load served by the line is 300 MVA, with an fp of 0.8(-), at a voltage of 100√3KV say: 6. The value of the incident and reflected wave, as well as the total voltage, at a point 200 km from the end of the load. 7. The voltage and current at the emitting end. 8. What would be the percentage error in the magnitude of the voltage VS if it is calculated with the lossless line model? lossless line model? Note that the accurate value is the one that takes losses into account.arrow_forwardQ1) A 70 cm long lossless transmission line with characteristics impedance of 50 Ω operating at 5Mhz is terminated with a load of ZL = (65+j80) Ω. If the velocity is 0.8 times the velocity of light, then calculate (a) The reflection co-efficient, also verify the value using the given smith chart.(b) Compute the input impedance using the transmission line input impedance equation.arrow_forwardA 50Ω lossless transmission line is terminated in a load (50+j100) Ω. Using a smith chart, determine the reflection coefficient.arrow_forward
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