If an R = 3Ω resistor, a Xc = 1Ω capacitor, and an XL = 5Ω inductor are connected in series with a f = 50Hz, V = 100 volts source, what is the current delivered by the source in function of (t)?
The answer is I = 20cos(100π t - tan-1(4/3)rad)
An RLC circuit contains in series a resistor R = 3 Ω, an inductor L = 1 H, and a capacitor C = 0.5 F. The current I(t) is provided by a source with emf E = 20cos(2t) Volts, where t is the time. Find the steady-state current Ip that develops after a long time (theoretically when t → ∞).
A resistance R = 10Ω, a capacitor C = 15μF, an inductor of L = 38mH, and an alternating current source with a voltage amplitude of 50V to 160Hz are connected in series. A- Calculate the angular frequency of the source B- Calculate the XL, XC, and Z impedance reactances C- Calculate the lag between the circuit current and the source voltage D- Calculate the amplitude of the circuit current and express the circuit current as a function of time...
A resistor (R = 9.00 ✕ 102 Ω), a capacitor (C = 0.250 μF), and an inductor (L = 1.20 H) are connected in series across a 2.40 ✕ 102-Hz AC source for which ΔVmax = 1.45 ✕ 102 V. (a) Calculate the impedance of the circuit. (kΩ) (b) Calculate the maximum current delivered by the source. (A) (c) Calculate the phase angle between the current and voltage. (° )
A 54.0 Ω resistor, a 0.800 H inductor, and a 14.0 µF capacitor are connected in series to a 60.0 Hz source. The rms current in the circuit is 1.72 A. Find the rms voltages across: (a) the RLC combination. (b) phase angle between the current and generator voltage I've found XC= 189.5 Ω, and XL = 301.6 Ω
Consider three different AC circuits (A-C) consist of a resistor, capacitor and inductor, connected in series to a function generator that creates a voltage of Av-2.0 cos(wt) Volts with ?-2x104 rad/s. The circuits are: (A) R-3 ; C-25 F, L-300 H 1. Rank the circuits by the amplitude of the alternating current flowing in the circuit from greatest to least.
in a certain RLC circuit, a 32- resistor, a 18-mH inductor, and a 5-F capacitor are connected in series with an AC power source for which V -16 Vand f = 100 Hz. (a) Calculate the amplitude of the current, (b) Calculate the phase between the current and the voltage, (c) Calculate the maximum voltage across each component. {0.0733 A. -1.47 rad, VR-2.35 V, Vc = 23.3 V, V.- 0.829 V?
1. A 8.50-Ω resistor, 6.50-mH inductor, and 110-µF capacitor are connected in series to a 45.0-V (rms) source having variable frequency. If the operating frequency is twice the resonance frequency, find the energy delivered to the circuit during one period. 2. A 1.48-mF capacitor is connected to a North American electrical outlet (ΔVrms = 120 V, f = 60.0 Hz). Assuming the energy stored in the capacitor is zero at t = 0, determine the magnitude of the current in...
A resistor (R = 9.00 ✕ 102 Ω), a capacitor (C = 0.250 μF), and an inductor (L = 2.40 H) are connected in series across a 2.40 ✕ 102-Hz AC source for which ΔVmax = 1.05 ✕ 102 V. (a) Calculate the impedance of the circuit. _____kΩ (b) Calculate the maximum current delivered by the source. ____A (c) Calculate the phase angle between the current and voltage. _____° (d) Is the current leading or lagging behind the voltage? 1)The...
48. If a 5.6pF capacitor, a 49.3pF capacitor and a 35.5pF capacitor are all connected in series, then what is the total capacitance of this series combination in pico Farads? 50. If the Thevenin equivalent for a circuit is a 5V voltage source in series with a 5.3kΩ resistor, then what is the Norton equivalent current for this circuit in milliamps? 51. If the Norton equivalent for a circuit is a 2.2mA current source in parallel with a 23kΩ resistor,...
A resistor (R = 9.00 x 102.2), a capacitor (C = 0.250 uF), and an inductor (L = 1.70 H) are connected in series across a 2.40 x 102-Hz AC source for which AVmax = 1.50 x 102 V. (a) Calculate the impedance of the circuit. Ο ΚΩ (b) Calculate the maximum current delivered by the source. (c) Calculate the phase angle between the current and voltage. (d) is the current leading or lagging behind the voltage? The current leads...