The electrical length of the transmission line is equal to 1.5 wavelengths. What is the total phase shift (in rad) incurred by a signal travelling the whole length of the transmission line? Use four decimal places (if the answer is not an integer).
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The electrical length of the transmission line is equal to 1.5 wavelengths. What is the total phase shift (in rad) incurred by a signal travelling the whole length of the transmission line? Use four decimal places (if the answer is not an integer).
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- An RLC circuit is used in a radio to tune into an FM station broadcasting at f = 99.7 MHz. The resistance in the circuit is R = 11.8 Ω, and the inductance is L = 1.76 µH. What capacitance should be used? pFA sinusoidal voltage Δv = (55.0 V)sin(160t) is applied to a series RLC circuit with L = 60.0 mH, C = 170.0 ?F, and R = 50.0 Ω. (a) What is the impedance of the circuit? Your response differs from the correct answer by more than 10%. Double check your calculations. Ω(b) What is the maximum current in the circuit? Your response differs significantA tank circuit in a radio transmitter is a series RCL circuit connected to an antenna. The antenna broadcasts radio signals at the resonant frequency of the tank circuit. Suppose that a certain tank circuit in a shortwave radio transmitter has a fixed capacitance of 1.7 x 10-11 F and a variable inductance. If the antenna is intended to broadcast radio signals ranging in frequency from 3.6 MHz to 9.7 MHz, find the (a) minimum and (b) maximum inductance of the tank circuit.
- Q1/ An impulsive voltage E is applied at t=0 to a series circuit containing inductance L and capacitance C. Initially, the current and charge are zero. The current I at time t is given by di L + dt = E.8(t) dq where q is the instantaneous value of charge on the capacitor. Since i = dt determine an expression for the current i in the circuit at time t.The lowest frequency in the FM radio band is 87.6 MHz. (a) What inductance (in pH) is needed to produce this resonant frequency if it is connected to a 2.70 pF capacitor? 91.97 X μH (b) The capacitor is variable, to allow the resonant frequency to be adjusted to as high as 108 MHz. What must the capacitar X PF 1.22An ac source supplies a 210.0 amp current to a long straight conductor. The magnetic field is measured to be 120 micro-tesla at a certain distance from the conductor. What is that distance in units of centimetres? R =___________________________ (do not forget to put the units)
- Consider a bright star in our night sky. Assume its distance from Earth is 86.3 light-years (ly) and its power output is 4.00 x 1028 W, about 100 times that of the Sun. One light-year is the distance traveled by light through a vacuum in one year. (a) Find the intensity of the starlight at the Earth. W/m² (b) Find the power of the starlight the Earth intercepts. (The radius of Earth is 6.38 x 106 m.) MW Need Help? Read ItThe primary coil of a transformer has N1 = 4.25 x 102 turns, and its secondary coil has N2 = 1.28 x 10 turns. If the input voltage across the primary coil is Av = (190 V) sin ot, what rms voltage is developed across the secondary coil?(a) An RLC circuit is used in a radio to tune into an FM station broadcasting at f = 99.7 MHz. The resistance in the circuit is R = 18.0 N, and the inductance is L = 1.60 µH. What capacitance (in pF) should be used? pF (b) What If? What would be the range of capacitances (in pF) needed to cover the entire FM band, from 88.0 MHz to 108 MHz? Cmin pF Cmax pF
- The lowest frequency in the FM radio band is 87.5 MHz. (a) What inductance is needed to produce this resonant frequency if it is connected to a 3.50 pF capacitor? µH (b) The capacitor is variable, to allow the resonant frequency to be adjusted to as high as 108 MHz. What must the capacitance be at this frequency? pFAn RLC circuit is used in a radio to tune into an FM station broadcasting at f = 99.7 MHz. The resistance in the circuit is R = 11.0 Ω, and the inductance is L = 1.44 µH. What capacitance should be used?A transformer has two sets of coils, the primary with N1 = 110 turns and the secondary with N2 = 1625 turns. The input rms voltage (over the primary coil) is ΔV1rms = 188 V. A) Express the output rms voltage, ΔV2rms , in terms od N1, N2, and ΔV1rms. B) Calculate the numerical value of ΔV2rms in V.