R= 15Qelleb.L= 20mlHww StylesPlease use neat handwriting and show workPhysics 2The current in a series RLC circuit is I(t)= 4 A cos [(377 rad/s) t]. The circuit consists of a voltage sourceV(t) = (100 V) cos[(377 rad/s) t + p1, a coil of inductance L= 20 mH, a resistor R = 15 0 and a capacitor ofunknown capacitance C.%3D(a) Determine the impedance of the circuit.(b) Determine the capacitive reactance XC of the capacitor.(c) Calculate the angle o in the expression for the source voltage.(d) Calculate the resonance angular frequency of this circuit and the current amplitude at resonance

Since you have posted a question with multiple subparts , we will solve the first three questions…

The current in a series RLC circuit is I(t) = 4 A cos [(377 rad/s) t]. The circuit consists of a voltage source V(t) = (100 V) cos[(377 rad/s) t+ o], a coil of inductance L= 20 mH, a resistor R = 15 Q and a capacitor of unknown capacitance C. (a) Determine the impedance of the circuit. (b) Determine the capacitive reactance XC of the capacitor. (c) Calculate the angle o in the expression for the source voltage. (d) Calculate the resonance angular frequency of this circuit and the current amplitude at resonance

The current in a series RLC circuit is I(t) = 4 A cos [(377 rad/s) t]. The circuit consists of a voltage source V(t) = (100 V) cos[(377 rad/s) t+ o], a coil of inductance L= 20 mH, a resistor R = 15 Q and a capacitor of unknown capacitance C. (a) Determine the impedance of the circuit. (b) Determine the capacitive reactance XC of the capacitor. (c) Calculate the angle o in the expression for the source voltage. (d) Calculate the resonance angular frequency of this circuit and the current amplitude at resonance

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A 13.6 H inductor is connected to an AC source whose emf is represented by the equation E = Emax sin(2 (pi) f t) where Emax = 47.0 V and f = 45.8 Hz. Determine the amplitude of the current in mA.
A single-loop circuit consists of a 7.2 Q resistor, 11.9 H inductor, and a 3.3 µF capacitor. Initially the capacitor has a charge of 6.1 UC and the current is zero. Calculate the charge on the capacitor N complete cycles later for (a) N = 5, (b) N =10, and (c)N = 100. (a) Number i Units (b) Number i Units (c) Number Units
In a series oscillating RLC circuit, R = 16.20, C = 31.6 µF, L = 9.52 mH, and E = Emsinwat with Em = 44.9 V and wd = 3040 rad/s. For time t = 0.443 ms find (a) the rate På at which energy is being supplied by the generator, (b) the rate Pat which the energy in the capacitor is changing, (c) the rate PL at which the energy in the inductor is changing, and (d) the rate PR at which energy is being dissipated in the resistor. (a) Number i 84.47 (b) Number i 31.6 (c) Number (d) Number i -93.2 i 60.5 Units W Units W Units W Units W
A 5.40 µF capacitor and a 3.80 mH inductor are connected in series with an AC power source that has a frequency of 1.20 x 103 Hz and a peak voltage of 58.0 V. Take the initial time t as zero when the instantaneous voltage equals zero. (a) What is the instantaneous voltage at t = 1.45 x 10-4 s? V (b) Determine the instantaneous current when t = 1.45 x 10-4 s. A
Consider a series RLC circuit with R = 12.0 Ω, L = 0.700 H, C = 72 μF, and a maximum voltage of 100 V. (d) What is the impedance at 60.0 Hz? (e) What is the rms current in the circuit at a frequency of 60 Hz? A 48.0 Ω resistor, a 0.900 H inductor, and a 17.0 µF capacitor are connected in series to a 60.0 Hz source. The rms current in the circuit is 3.28 A. Find the (h) phase angle between the current and generator voltage
4.30 2 In the circuit the emf ɛ = 188 volts and the inductance L= 38.4 mH. What will be the magnitude of the voltage difference across the inductor at a time 14.6 ms after the switch is closed? (State answer with 1 digit right of decimal: Do not enter unit.)
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 charge on the capacitor of an LC circuit with capacitance C and inductance L obeys the following equation. Find the maximum current in the circuit. q= Q cos [t/(LC)0.5] Q Q/(LC) 0.5 zero QQ²/(LC) 0.5 imax 1/(LC) 0.5
A 14.0-mH inductor is connected to a North American electrical outlet (ΔVrms = 120 V, f = 60.0 Hz). Assuming the energy stored in the inductor is zero at t = 0, determine the energy stored at t = 1 150 s. i try to put in the answer and it says this The energy stored in the inductor oscillates at the same frequency as the voltage. J
(a) What is the resonant frequency (in Hz) of a resistor, capacitor, and inductor connected in series if R = 140 N, L = 3.0 H, and C = 4.0 µF? Hz (b) If this combination is connected to a source with a voltage amplitude of 100 V operating at the resonant frequency, what is the average power output of the source (in W)? w (c) What is the Q of the circuit? Q = (d) What is the bandwidth of the circuit (in rad/s)? rad/s
An inductor with inductance 15.34H and a resistor w/ resistance 3.432 are connected in series to a battery with emf of 5V. At what time (in s) is the current flowing in the circuit equal to 50% of the final steady-state current (I = ɛ/R)? Answer: