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Two lossless transmission lines having different characteristic impedances are to be joined end to end. The impedances are
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Engineering Electromagnetics
- A lossless transmission line operating at 50 MHz has a surge impedance (40 + j0) ohms and a propagation constant of (0 + j0.5π) per meter. Determine the equivalent capacitance (in uH) of the line. Enter only the numerical value. No need for the unit. Use four decimal places (if the answer is not an integer).arrow_forwardA lossless parallel-plate transmission line having a characteristic impedance 50 is terminated with an impedance (40+30) Q at an operating frequency of 200 MHz. The dielectric constant of the insulator is 2.25 and its thickness is 0.4 mm. Find (a) the width w of the metal plates, and (b) the reflection coefficient at the load.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_forward
- A 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_forwardA 50-ohm lossless transmission line has series inductance of 250 nH/m and shunt capacitance of 100 pF/m. What is the time delay per unit length (in ns/m) of this transmission line? Enter only the numerical value. No need for the unit. Use four decimal places (if the answer is not an interger).arrow_forwardA lossless transmission line has a capacitance per unit length of 64pF/m and an inductance per unit length of 1μH/m. The load impedance ZL is purely resistive. Both the load impedance and the generator impedance are 50 Ohms. the characteristic impedance and the propagation velocityarrow_forward
- A 500kV,300km,60Hz500kV,300km,60Hz, three-phase overhead transmission line, assumed to be lossless, has a series inductance of 0.97mH/km0.97mH/km per phase and a shunt capacitance of 0.0115mF/km0.0115mF/km per phase. Determine the phase constant ββ, the surge impedance ZcZc, velocity of propagation vv, and the wavelength λλ of the line. a. β=0.001259rad/km,Zc=290.43Ω,v=2.994×105km/s,λ=4990kmβ=0.001259rad/km,Zc=290.43Ω,v=2.994×105km/s,λ=4990km b. β=0.001259rad/km,Zc=290.43Ω,v=2.599×105km/s,λ=4990kmβ=0.001259rad/km,Zc=290.43Ω,v=2.599×105km/s,λ=4990km c. β=0.000629rad/km,Zc=290.43Ω,v=1.533×105km/s,λ=4990kmβ=0.000629rad/km,Zc=290.43Ω,v=1.533×105km/s,λ=4990km d. β=0.001049rad/km,Zc=290.43Ω,v=2.994×105km/s,λ=5998kmarrow_forwardA Three-Phase, 50 Hz, 220 KV Transmission Line consists of conductors of 1.2 cm radius spaced 2 meters at the corners of an equilateral triangle. Calculate the Corona Power Loss per km of the line at a Temperature of 20ºC and Barometric Pressure of 72.2 cm of Hg. Take the Surface Factor of the conductor as 0.96arrow_forwardq) lossless transmission line has a capacitance per unit length of 64pF/m and an inductance per unit length of 1μH/m. The load impedance ZL is purely resistive. Both the load impedance and the generator impedance are 50 Ohms.The generator frequency is 12.5MHz. the propagation constant β and wavelength λ equal to? a)π/5 , 10 b)π/5 , 15 c)π/3 , 15 d) π/6 , 8arrow_forward
- I want a solution for branches A and B, pleaseA) Determine the primary constants, R, L, G, and C for a distortion-less line working at 300 MHz. Given that the line has characteristic impedance, Zo=750, attenuation constant a=0.12Np/m, and wave velocity, v=1.4×10 m/sB) A lossless transmission line used in a TV receiver has a capacitance of 50 pF/m and an inductance of 200 nH/m. Find the characteristic impedance for sections of a line 10 meter long and 500 m long.arrow_forwardA 132 kV, three-phase, 50Hz transmission line uses 18 mm diameter, equally spaced conductors. Determine the spacing between these conductors, if it is to be designed such that the corona inception voltage is 5% higher than the normal operating voltage of the line at 40oC. (You may assume the expression relating the electric field and the voltage of the line as a starting point, m=0.9)arrow_forwardA 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_forward
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