A resonance circuit having inductance and resistance 2 × 10–4 H and 6.28 Ω respectively oscillates at 10 MHz frequency. The value of the quality factor of this resonator is________. [π = 3.14]
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A resonance circuit having inductance and resistance 2 × 10–4 H and 6.28 Ω respectively oscillates at 10 MHz frequency. The value of the quality factor of this resonator is________. [π = 3.14]

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- At what two times in the first period following t = 0 does the instantaneous voltage in 37 Hz AC equal Vrms? (Enter the first two times t, and t,. Assume zero phase shift.) t = t2 = ms msIn a series circuit, R= 50 ohm, L= 4.0H and C = 12uF. When the source voltage operates at resonant frequency and current amplitude is 5.0 A . What is the voltage amplitude across the inductor?The current depends on frequency (ω). The circuit elements (inductor, resistor, capacitor) are fixed. If ℰ₀ = 136 volts, R = 6 Ω, L = 6 Henries, C = 1.324 Farads, calculate the frequency (ω) that gives the maximum current amplitude. (This is called the resonant frequency.)
- In a purely inductive AC circuit as shown in the figure, AVmax = 100 V. AVmax sin 27ft L (a) The maximum current is 5.20 A at 44.0 Hz. Calculate the inductance L. mH (b) At what angular frequency w is the maximum current 1.70 A? rad/s ellConsider the RLC series circuit shown in the Fig. 10 where R = 450 N, L = 89.4 mH, and C = 0.669 µF. The current in the circuit is given by i(t) = I cos[(11 800 rad/s)t], where I is the amplitude current. The circuit overall impedance across the series of resistor, capacitor, and inductor, is most nearly (A) 2070 N. (B) 731 N. (C) 1270 N. (D) 1030 N. (E) 1460 N.For the circuit shown—consisting of a 5.1 ohm resistor, 180 × 10-6 H inductor, 85 × 10-6 F capacitor, and 4.5 Vrms AC source oscillating at 45 Hz: Part (a) What is the impedance? Z = Ω Part (b) What is the IrmsIrms under these conditions? Irms = A
- Problem 11: Part (a) Find its impedance Z at 55 Hz in Ω. Z = ______ Part (b) Find its impedance Z at 11 kHz in Ω. Z' = ______A resistor and capacitor are connected in series across an ac generator. The voltage of the generator is given by V(t)= Vo cos(wt), where Vo 120 V, w = 120m rad/s, R= 6000, and C= 6μF. (a) What is the magnitude of the impedance of the RC circuit? (b) What is the amplitude of the current through the resistor? (c) What is the phase difference between the voltage and current? Hint a. The magnitude of the impedance is b. The amplitude of the current through the resistor is c. The phase difference between the voltage and current is rad. (Take the positive phase difference to mean that voltage is leading the current by this phase difference.) Submit Question Q. mA, MacBook ProThe purpose is to determine the current, and sometimes the phase difference between the voltage source and the current. In this case, determine the current amplitude (I0) when the circuit elements are these: ℰ₀ = 196 volts, ω = 1.75 rad/s, R = 46 Ω, L = 10 Henries, C = 0.203 Farads.