(a) L-R-C series circuit -q b ell L
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In the series circuit of Fig. the resistance is 255 Ω, the inductance is 45.0 mH, the capacitance is 0.400 µF, and the source has voltage amplitude 55.0 V. The inductive reactance is equal to the resistance. Find (a) the frequency of the source, (b) the impedance, (c) the current amplitude, (d) the phase angle, and (e) whether the voltage leads or lags the current.
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- The AC power source has an RMS voltage of Vps(RMS) = 9.71 Volts and is running at a frequency of f = 164600 Hz. The resistor has a resistance of R = 2140 Ω, the capacitor has a capacitance of C = 7.17e-10 Farads, and the inductor has an inductance of L = 2.67e-03 Henries.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.)A series RLC circuit has resistance R = 14.0 2, inductive reactance X, = 28.0 N, and capacitive reactance X, = 16.0 Q. If the maximum voltage across the resistor is AV, = 135 V, find the maximum voltage across the inductor and the capacitor. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) HINT (a) the maximum voltage across the inductor (in V) V (b) the maximum voltage across the capacitor (in V) V (c) What is the maximum current in the circuit (in A)? A (d) What is the circuit's impedance (in 2)?
- The current depends on frequency (ω). The circuit elements (inductor, resistor, capacitor) are fixed. If ℰ₀ = 140 volts, R = 5 Ω, L = 7 Henries, C = 3.373 Farads, calculate the frequency (ω) that gives the maximum current amplitude.A series AC circuit contains a resistor, an inductor of 240 mH, a capacitor of 4.10 μF, and a source with AV = 240 V operating at 50.0 Hz. The maximum current in the circuit is 160 mA. max (a) Calculate the inductive reactance. (b) Calculate the capacitive reactance. n (c) Calculate the impedance. kn (d) Calculate the resistance in the circuit. (e) Calculate the phase angle between the current and the source voltage.A resistor, inductor, and capacitor are in series with an AC power supply. The amplitude of the current in the circuit is found to be 2.00 A. The capacitance is 0.04 F (40 mF). The inductance is 0.50 H. The driving frequency is 10 rad/s. (a) Find the amplitude of the voltage across the capacitor. (b) Find the amplitude of the voltage across the inductor. (C) Suppose that the amplitude of the voltage across the resistor is the same as the value you found in (a). Draw the phasor diagram. (d) Is this circuit in resonance? Explain. (e) Find the amplitude of the voltage of the power supply.
- An ac series circuit has an impedance of 109 02, and the phase angle between the current and the voltage of the generator is p = -88 °. The circuit contains a resistor and either a capacitor or an inductor. Find (a) the resistance R and (b) the capacitive reactance Xc or the inductive reactance XL, whichever is appropriate. (a) R = i (b) Reactance = i îFor an RLC series circuit, the voltage amplitude and frequency of the source are 100 V and 250 Hz, respectively. The resistance and inductance are fixed at R = 2502 and L = 0.7 H. Find the average power dissipated in the resistor for the following values for the capacitance: (a) C = 58μF and (b) C = 5.8μF. Hint a. The power dissipated in the resistor for C = 58μF is b. The power dissipated in the resistor for C = 5.8μF is W. W.