2. Two strings are connected at x = 0. The impedance of the string on the...
A source of vdr) 10./2cos(2π10,)V with internal impedance Z,-10+ j10Ω is connected via a 300m long lossless two-wire transmission line to a load of Z-100+j2002. The line parameters are D-10mm , d Imm , μ,-I,e,-4. a) Calculate the velocity and direction of propagation of the incident and reflected waves. b) Find the characteristic impedance and the input impedance of the line. c) Calculate the amplitude of the incident wave for voltage and current. d) Write the complete expressions for v(z,t)...
2) Two long wires of different composition are joined together at the origin (z-0) and held under a tension of T= 110 N. The mass densities of the left and right wires are μ-88/m and μ2 =52 g/m respectively. A traveling sinusoidal wave of amplitude Al-2 mm and frequency 200 Hz is incident on the boundary from the left (traveling towards the right). Calculate the following quantities, and retain at least 6 signif- icant figures in all values to reduce...
4) A plane wave in air with is incident upon the planar surface of a dielectric material, with e2.25, occupying the half-space z 2 0. Determine (a) The incidence angle i (e) The field E, of the reflected wave (d) The field E of the wave transmitted into the dielectric, (e) The average power density carried by the wave into the dielectric medium.(30 pts.) (b) The frequency of the wave. Hint: This incident wave is a mixture of parallel and...
Q1) Two ideal voltage sources designated as machines 1 and 2 are connected as shown in Figure 1. If E! = 100.200 V, E-100し300 V and Z = 0 +JS a) Determine whether each machine is generating or consuming real power and the amount b) Determine whether each machine is receiving or supplying reactive power and the amount c) Determine the P and Q absorbed by the impedance 2 #2 Figure 1: Ideal voltage sources connected through impedance Z Q2)...
3. A 1.29 kg ball is connected by means of two ideal strings to a horizontal, rotating rod. The strings are tied to the rod and are taut. The right string is 26.0 cm long and has a tension of 29.3 N, and it makes an angle 02 = 50.0° with the rod, while the left string makes an angle 01 = 64.0° angle with the rod. At the instant shown the ball is at its highest point. (a) What...
7) Two half-wave dipole antennas, each with an impedance of 75 Ω, are connected in parallel through a pair of 0.5-A transmission lines, and the combination is connected to a feed 0.25-2 transmission line, as shown in the Figure. 75Ω (Antenna) (a) What is the impedance of the 0.25-2 feed transmission line such that Zin will be matched to a 5042 TL? (b) If the result of (a) is connected to a 50 Ω TL that is, in turn, connected...
Two string tied together have different linear mass densities and hence different velocities. Reflection and transission coefficient in terms of amplitude: a) supposed string 1 is a thick string and string 2 is thin. in which string is the speed larger? b) What are R and T in the limit of v1 << v2? c) What are R and T in the limit of v1 >> v2? d) the power carried by a wave in a strong was found to...
15 marks) ) A rectangular wave pulse is traveling to the right on a string as shown in gure If the string-2 is twice as heavy (per unit length) as string-1, and the knot joining them is massless, then calculate the length and height 151 of the reflected aud transmitted waves, and show the on the figure 5 cm Knot String-2 String-1 2 cm ) The eleetrie feld of a plane monochromatic electromagnetie wave going in free space is given...
3. A system of two transmission lines connected in series are driven by a voltage source fi(t) Vou(t) and terminated by a resistive load of 60S2 as shown in the figure below. A switch is closed at t 0 and the positive voltages are measured for 5 μs giving the bounce diagram shown in the figure-the voltage values indicated in the diagram correspond to delta function weights times the source voltage products such as VOTg, VOTg(1 +「2), etc. 400 m...
answer number 3 and 4 Problem 7. Transmission Lines The figure below shows a transmission line with a characteristic impedance Z,-50 Ω, connected to a single frequency generator with an internal impedance R,-50 C (not shown), and terminated in a purely resistive load RL 50 2. At the frequency of the generator, the wavelength of the transmission line is λ = 2 m. At a distance dl-1.25 m away from the load, a shorted stub is connected via a tee....