Radios use resonance in order to tune-in to a particular station. A physics student builds a simple radio using a RLC series circuit. They decide to use a resistor with R = 40.5 2 but they only have one capacitor with capacitance C = 215 pF. To listen to their favorite station KXY 84.1 FM, which is at a frequency of 84.1 MHz, what must be the inductance L of their circuit's inductor? When they tune-in to KXY 84.1 FM, they measure a rms current of 0.0380 A. What is the rms voltage Vrms across the circuit when they tune-in? L = H Vrms V
Q: An RLC circuit is used in a radio to tune into an FM station broadcasting at f = 99.7 MHz. The…
A: Given, Frequency (f) =99.7MHz Resistance (R)= 18 ohm Inductance (L) =1.80 µH
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A: Please comment down for any doubt. I hope my answer helps you.
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Q: An RLC circuit is used in a radio to tune into an FM station broadcasting at f = 99.7 MHz. The…
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Q: An RLC circuit is used in a radio to tune into an FM station broadcasting at f = 99.7 MHz. The…
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Q: An LC circuit consists of an initially fully charged capacitor with a capacitance of 525 x 10^-6 F…
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- Problem 8: An oscillating LC circuit has inductance L and capacitance C. The maximum charge on the capacitor during oscillations is qma a Part (a) Enter an expression for the charge on the capacitor, when energy is shared equally between the electric field in the capacitor and the magnetic field in the inductor. Form your expression in terms of qmax Part (b) Using the value qmax = 5 nC, find the charge on the capacitor, in nanocoulombs, when energy is shared equally between the electric field in the capacitor and the magnetic field in the inductor. Be careful with your charge units. Part (c) Enter an expression for the current through the inductor, when energy is shared equally between the electric field in the capacitor and the magnetic field in the inductor. Form your expression in terms of the inductance, L, the capacitance, C, and qmax Δ Part (d) Given the values qmax-5 nC, L 21 mH, and C 1.4 μF, find the current through the inductor, in amperes, when energy is shared equally…An RLC circuit is shown below. The elements have the following values: resistor (R = 85.0 0), inductor (L = 0.325 H), capacitor (C = 50.0 pF). The A.C. voltage source is VRMS = 150.0 volts, and f = 60 Hertz. a. What is the impedance (Z) of this circuit? b. What is the RMS current (IRMS)? Amperes c. What is the phase angle (p) between the voltage and the current? degrees d. Does the voltage lead or lag the current? (i.e. When the voltage leads the current it's at a maximum before the maximum of the current.) ONLY 1 ATTEMPT IS ALLOWED FOR THIS PART. ---Select---In an oscillating LC circuit, the total stored energy is (4.6540x10^-1) J and the maximum charge on the capacitor is (4.139x10^-5) C. When the charge on the capacitor has decay to (3.68x10^-6) C, what is the energy stored in the inductor? Express your result in mJ with three significant figures. Note: Your answer is assumed to be reduced to the highest power possible.
- An LC circuit like the one in the figure below contains an 65.0 mH inductor and a 21.0 µF capacitor that initially carries a 175 µC charge. The switch is open for t < 0 and is then thrown closed at t = 0. + Qm max L 000 (a) Find the frequency (in hertz) of the resulting oscillations. 127 X What is the equation for the angular frequency of an LC circuit? Hz (b) At t = 1.00 ms, find the charge on the capacitor. 12.1 X What equation describes the oscillation of the charge as a function of time? µC largest value (c) At t = 1.00 ms, find the current in the circuit. -100 X You appear to be correctly calculating this current using your incorrect result for part (a). mA (d) What If? What are the first three times (in ms), after t = 0, when the capacitor is fully charged again? smallest value ms ms msA sinusoidal voltage Δv = 45.0 sin(100t), where Δv is in volts and t is in seconds, is applied to a series RLC circuit with L = 170 mH, C = 99.0 µF, and R = 60.0 Ω. e) What If? For what value of the inductance (in H) in the circuit would the current lag the voltage by the same angle ? as that found in part (d)? f) What would be the maximum current (in A) in the circuit in this case?Maxwell is trying to build an AC circuit to send a signal to a shock collar he put on Shadow while Shadow was sleeping. He has a 110Vrms source with variable frequencies. The circuit uses a 3mH inductor and 0.4mF capacitor. What frequency setting on the power supply will give the biggest power output of the circuit? Maxwell uses this frequency to drive the circuit, but misreads the inductor he uses. Instead of 3mH it is 2mH. What is the power output of this circuit?
- Imagine that you need to construct an LC circuit that oscillates at 2.0 kHz, conducts a maximum current of 50 mA, and has a maximum potential difference of 5.0 volts between the capacitor's plates. What values of L and C must the inductor and capacitor have, respectively? (Hint: the answer is C = 0.80 x 10-6 F and L = 8.0 mH).The charge on the capacitor of an LC circuit with capacitance C and inductance L obeys the following equation. Find the maximum current in the circuit. q= Q cos [t/(LC)0.5] Q Q/(LC) 0.5 zero QQ²/(LC) 0.5 imax 1/(LC) 0.5An LR circuit consists of an inductor with L = 2.5 x 10* H and a resistor with R 5.3 connected in series to an oscillating source of cmf. This source generates a voltage given by E= Emax Sin(@t) with E a) What is the maximum current in the circuit? b) What is the phase angle of the current? c) What is the average power dissipated in the resistor? %3D 0.40 V and w =6x 10* rad/s.