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Problems #1 - 4 A signal on a transmission line is given by the following equation:...
(a) Determine the period, amplitude, and frequency of a signal given by, v(t) (120nt). Plot this ...
(a) Determine the period, amplitude, and frequency of a signal given by, v(t) (120nt). Plot this signal both in the time-domain and frequency domain. (b) For the following square wave v(t), determine if it is a periodic signal, and if yes, what 10 V sin 4. [61 are its amplitude, period T and fundamental frequency f? Why do we need to convert this signal into sine/cosine wave for transmission? 2 o-oims (c) () According to Fourier Theorem, the above signal...
(1) The voltage of an electromagnetic wave traveling on a transmission line is given by V(z,t)=5e"...
(1) The voltage of an electromagnetic wave traveling on a transmission line is given by V(z,t)=5e" sin(41 X10't – 5772 +) a) Find the frequency, wavelength, and phase velocity of the wave. b) At z=2 m, the amplitude was measured to be 3 V. Find a. c) What is the amplitude of the wave measured at 10 m? d) Give V (z) and (z)].
thé UelLII lmaoT UL IIE 1Urwård- and backward-crosstalk voltages in- outino n a secondary line for...
thé UelLII lmaoT UL IIE 1Urwård- and backward-crosstalk voltages in- outino n a secondary line for a given excitation for the primary line. PROBLEMS Section 6.1 K1. Finding fields and power flow for a parallel-plate line for specified voltage along the line. A parallel-plate transmission line is made up of perfect conductors of width w = 0.1 m and lying in the planes x = 0 and x = 0.01 m. The medium between the conductors is a nonmagnetic (μ-Ao),...
1 2 4. The amplitude modulation signal is given by the following expression and is applied...
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4. The amplitude modulation signal is given by the following expression and is applied to 75 load. Vam(t) = 10 sin (21fct) - 2.5 cos (1500krt) + 2.5 cos (1450krt) V Determine: a) Modulation index b) The frequency of the carrier and the information signal c) The bandwidth d) The total power e) The transmission power efficiency be ar e 5. One of the inputs to a frequency modulator is a 250 kHz carrier signal with amplitude of...
Problem 3-3. ate Conditions on a Transmission Line Steady-State Conditions on a Line Cha Chap. 3...
Problem 3-3.
ate Conditions on a Transmission Line Steady-State Conditions on a Line Cha Chap. 3 JE! 11 RMS voltage and current 2X 31/2 x 1/2 Figure 3-36 Standing waves on a lossy transmission line. PROBLEMS 2.1. The characteristic impedance (20) of a lossy transmission line depends on whil of the following? (a) Length of the line. (b) Frequency of the applied signal. (c) Dielectric constant of the insulation. (d) Load at the end of the line. (e) Separation and...
The mathematical expression for a voltage wave on a transmission line is given as: V(z,t) =...
The mathematical expression for a voltage wave on a transmission line is given as: V(z,t) = 5e-azsin(41x10ºt – 2012) (V/m) where z is the distance from the generator and a is an unknown constant. At z = 2 meters the amplitude of the voltage oscillation is measured to be 1 Volt. a) (2 pts) Find the linear frequency of the wave b) (3 pts) Find the wavelength c) (3 pts) Find the phase speed d) (3 pts) Find the value...
A transverse wave is given by the following equation: y (x,t) = (2.45 cm) cos [(0.420...
A transverse wave is given by the following equation: y (x,t) = (2.45 cm) cos [(0.420 rad/cm)x + (5.20 rad/s)t] a) What are the wave's amplitude, frequency, period, and wavelength? b) What is the direction of wave travel, and what is the speed? c) What is the displacement of a particle at x = 5.00 m, at t = 1.00 min? Hint: pay attention to units!
5.11 THOUGHT PROBLEMS 5.1 Traveling wave Consider a plane wave in SI units described by X...
5.11 THOUGHT PROBLEMS 5.1 Traveling wave Consider a plane wave in SI units described by X 14 E = 5 cos 31 10" (t –) + 5. x ] C What is the wave's (a) Frequency? (b) Wavelength? (c) Amplitude? (d) Direction of propagation?
3. A transmission line has two voltages on it, ν,(x,t)-10cos(2n100-25x) and y,(x,t)-.2cos(2n100 +...
3. A transmission line has two voltages on it, ν,(x,t)-10cos(2n100-25x) and y,(x,t)-.2cos(2n100 + 25x). Sketch v(x,t) +v,(x,t) as a function of x if a) Vm2-10 and t-0,10ms,20ms b) Vm2-5 and t-0,10ms,20ms Use the trig identity cos A+cos B=2cos|-(A+B)|cos|式4-B) | to establish the total voltage on the c) transmission line. What insight is gained from this result? 4. The input impedance of a transmission of length I, with characteristic impedance Zo, connected to a load Z, is given below 2π where...
Problem 4: Dielectric coating (25 points) air dielectric glass no-1 A thin coating of dielectric material...
Problem 4: Dielectric coating (25 points) air dielectric glass no-1 A thin coating of dielectric material is deposited onto the sur- o face of a glass lens, so that light entering the lens first goes through an air- dielectric interface before going through a dielectric-glass interface and then into the glass. The index of refraction of air is no (which you can set to 1.) The di- electric is ni, and the glass is n2. You can assume that all...
(a) Determine the period, amplitude, and frequency of a signal given by, v(t) (120nt). Plot this signal both in the time-domain and frequency domain. (b) For the following square wave v(t), determine if it is a periodic signal, and if yes, what 10 V sin 4. [61 are its amplitude, period T and fundamental frequency f? Why do we need to convert this signal into sine/cosine wave for transmission? 2 o-oims (c) () According to Fourier Theorem, the above signal...
(1) The voltage of an electromagnetic wave traveling on a transmission line is given by V(z,t)=5e" sin(41 X10't – 5772 +) a) Find the frequency, wavelength, and phase velocity of the wave. b) At z=2 m, the amplitude was measured to be 3 V. Find a. c) What is the amplitude of the wave measured at 10 m? d) Give V (z) and (z)].
thé UelLII lmaoT UL IIE 1Urwård- and backward-crosstalk voltages in- outino n a secondary line for a given excitation for the primary line. PROBLEMS Section 6.1 K1. Finding fields and power flow for a parallel-plate line for specified voltage along the line. A parallel-plate transmission line is made up of perfect conductors of width w = 0.1 m and lying in the planes x = 0 and x = 0.01 m. The medium between the conductors is a nonmagnetic (μ-Ao),...
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4. The amplitude modulation signal is given by the following expression and is applied to 75 load. Vam(t) = 10 sin (21fct) - 2.5 cos (1500krt) + 2.5 cos (1450krt) V Determine: a) Modulation index b) The frequency of the carrier and the information signal c) The bandwidth d) The total power e) The transmission power efficiency be ar e 5. One of the inputs to a frequency modulator is a 250 kHz carrier signal with amplitude of...
Problem 3-3.
ate Conditions on a Transmission Line Steady-State Conditions on a Line Cha Chap. 3 JE! 11 RMS voltage and current 2X 31/2 x 1/2 Figure 3-36 Standing waves on a lossy transmission line. PROBLEMS 2.1. The characteristic impedance (20) of a lossy transmission line depends on whil of the following? (a) Length of the line. (b) Frequency of the applied signal. (c) Dielectric constant of the insulation. (d) Load at the end of the line. (e) Separation and...
The mathematical expression for a voltage wave on a transmission line is given as: V(z,t) = 5e-azsin(41x10ºt – 2012) (V/m) where z is the distance from the generator and a is an unknown constant. At z = 2 meters the amplitude of the voltage oscillation is measured to be 1 Volt. a) (2 pts) Find the linear frequency of the wave b) (3 pts) Find the wavelength c) (3 pts) Find the phase speed d) (3 pts) Find the value...
5.11 THOUGHT PROBLEMS 5.1 Traveling wave Consider a plane wave in SI units described by X 14 E = 5 cos 31 10" (t –) + 5. x ] C What is the wave's (a) Frequency? (b) Wavelength? (c) Amplitude? (d) Direction of propagation?
3. A transmission line has two voltages on it, ν,(x,t)-10cos(2n100-25x) and y,(x,t)-.2cos(2n100 + 25x). Sketch v(x,t) +v,(x,t) as a function of x if a) Vm2-10 and t-0,10ms,20ms b) Vm2-5 and t-0,10ms,20ms Use the trig identity cos A+cos B=2cos|-(A+B)|cos|式4-B) | to establish the total voltage on the c) transmission line. What insight is gained from this result? 4. The input impedance of a transmission of length I, with characteristic impedance Zo, connected to a load Z, is given below 2π where...
Problem 4: Dielectric coating (25 points) air dielectric glass no-1 A thin coating of dielectric material is deposited onto the sur- o face of a glass lens, so that light entering the lens first goes through an air- dielectric interface before going through a dielectric-glass interface and then into the glass. The index of refraction of air is no (which you can set to 1.) The di- electric is ni, and the glass is n2. You can assume that all...
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