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 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. (° )
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?
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...
A series RLC circuit has resistance R = 10.0 Ω, inductive reactance XL = 34.0 Ω, and capacitive reactance XC = 21.0 Ω. If the maximum voltage across the resistor is ΔVR = 165 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.) (a) the maximum voltage across the inductor (in V) V (b) the maximum voltage across...
An RLC circuit consists of a 0.1H inductor, 1.5µF capacitor, and a 100 Ω resistor. It is connected to a 1200 rad/s AC power source. If the applied rms voltage is 100 V, what is the resulting rms current?
1. A resistor R and capacitor care connected in series with an AC voltage source with frequency f and maximum voltage Vo. a. Find the complex impedance (in the form Z = R + jX). If the impedance is written in polar form (Z = Zejº), find expressions for Z and Ⓡ. Write your answers in terms of the variables R, C, and o(= 21f). b. If the voltage source is described by the phasor V = V, ejwt, and...