A 1.05-μH inductor is connected in series with a variable capacitor in the tuning section of a shortwave radio set. What capacitance tunes the circuit to the signal from a transmitter broadcasting at 6.30 MHz?
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- An inductor is connected to a 11 kHz oscillator. The peak current is 62 mA when the rms voltage is 5.4 V . What is the value of the inductance L?For a Biology research project you want to conduct a search for extra-terrestrial intelligent life by looking for communications-type signals, and you know that the 21 cm wavelength is used by SETI (Search for Extra-Terrestrial Intelligence) to look for these signals. If a 10.0 µH inductor is used in the tuning circuit of your receiver, then what capacitance must be used in the RLC circuit to detect candidate signals?a. A 1 GHz frequency is used. In an air dielectric transmission line, what is the number of centimeters in a wavelength? In a half wave- length? A quarter wavelength? b. If the load causes a VSWR of 3.0 and a minimum voltage point 0.1 wavelengths from the load, what is the normalized load impedance and the actual load impedance, assuming Zo equals 50 ohms?
- We are building a radio receiver that is designed to have a low impedance at a specific frequency 1.4 Megahertz (or omega = 8796459.43005 radians/second). We have nanoFarad (10^{-9} F) capacitors and 10 nanoFarad (10^{-8} F) capacitors available. We will choose a capacitor and an inductor and place them in series to make (this part of) the circuit. What size inductor should we use if we choose the nanoFarad capacitor? What size inductor should we use if we choose the 10 nanoFarad capacitor? H H The circuit operates at resonance for both these choices, so we need to use another criterion to determine which LC combination to use. Let's use the total (L + C) reactance at other frequencies (we want this reactance to be high at frequencies away from the frequency we have tuned to). If we move 10% higher in frequency (omega = 9676105.37306), what is the reactance for the LC combination with the nanoFarad capacitor? Ohms and what is the reactance for the LC combination with the 10 nanoFarad…A capacitor is connected to an ac generator that has a frequency of 3.4 kHz and produces a voltage of 2.0 V. The current in the capacitor is 35 mA. When the same capacitor is connected to a second ac generator that has a frequency of 5.0 kHz, the current in the capacitor is 85 mA. What voltage does the second generator produce?7
- LC oscillators have been used in circuits connected to loudspeakers to create some of the sounds of electronic music. What inductance must be used with a 9.7 µF capacitor to produce a frequency of 15 kHz, which is in the audible range of frequencies? Number Tarth. W i UnitsAn inductor has a peak current of 330 A when the peak potential is 2.2V at 45 MHz.What is the inductance?2. A 0.35 µH inductor is used in an FM radio circuit that oscillates at 100 MHz. The current through the inductor reaches a peak value of 2.0 mA at t = 4.0 ns. What is the peak inductor voltage, and when, closest to t = 4.0 ns, does it occur?
- A 25-μF capacitor is connected to an emf given by v(t) = (160 V) sin (120πt) . (a) What is the reactance of the capacitor? (b)Write an expression for the current output of the source.The LC circuit of a radar transmitter oscillates at 40.0 GHz. (a) What inductance is required for the circuit to resonate at this frequency if its capacitance is 1.70 pF? 253.3 pH (b) What is the inductive reactance of the circuit at this frequency?For a Biology research project you want to conduct a search for extra-terrestrial intelligent life by looking for communications-type signals, and you know that the 21 cm wavelength is used by SETI (Search for Extra-Terrestrial Intelligence) to look for these signals. If a 10.0 μH inductor is used in the tuning circuit of your receiver, then what capacitance must be used in the RLC circuit to detect candidate signals?