Suppose the current in an ideal LC circuit oscillates with a frequency of f₁. If a second LC circuit has a capacitor with 1.4 times the capacitance of the first and an inductor with inductance 1.1 times the first, find the frequency f2 of the second LC circuit in terms of the first. Fill in the missing numerical factor below. f2 = () f1
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- In an R-L-C series circuit, the magnitude of the phase angle is 51.6 ∘∘, with the source voltage lagging the current. The reactance of the capacitor is 340 Ω , and the resistor resistance is 180 Ω . The average power delivered by the source is 130 W . Part A. Find the reactance of the inductor. Express your answer in ohms. Part B. Find the rms current. Express your answer in amperes. Part C. Find the rms voltage of the source. Express your answer in volts.An LC circuit consists of an initially fully charged capacitor with a capacitance of 525 x 10^-6 F and an inductor. The maximum energy stored by the capacitor is 0.65 J and the resonant frequency of the circuit is 92.5 rad/s. What is the maximum current through the inductor?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 ms
- Circuit II has twice the inductance and one‑half the capacitance of Circuit I. If the resistor in Circuit II is replaced with a resistor that has twice the resistance, what is the ratio of the resonant frequencies of Circuit I to Circuit II?A radio transmitter applies 480 V rms across a 6800-pF capacitor and an inductor, connected in parallel to make a resonant circuit that determines the transmitter's frequency. The resulting current in each component is 22.0 A rms. Part A Find the transmitter frequency. Express your answer in megahertz. f = Submit Part B L = ΑΣΦ Find the inductance. Express your answer in microhenries. Submit Request Answer VE ΑΣΦ Request Answer = ? MHz μΗIn the circuit shown in the Figure with 3.0 mH for the inductance and 6.0 uF for the capacitance, S1 has been closed for a long enough time so that the current reads a steady 3.50 A. Suddenly, S2 is closed and S1 is opened at the same instant. What is the maximum charge that the capacitor will receive? What is the current in the inductor at this time? At an instant when the charge on the capacitor is 0.1 mC, what is the current in the inductor? At an instant when the charge on the capacitor is 0.1 mC, what is the rate at which the current in the inductor is changing?
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