A sinusoidal voltage of peak value 283 V and frequency 50 Hz is applied to a series LCR circuit in which R = 3 Ω, L = 25.48 mH, and C = 796 µF. Find (a) the impedance of the circuit; (b) the phase difference between the voltage across the source and the current; (c) the power dissipated in the circuit; and (d) thepower factor.

A sinusoidal voltage of peak value 283 V and frequency 50 Hz is applied to a series LCR circuit in which R = 3 Ω, L = 25.48 mH, and C = 796 µF. Find (a) the impedance of the circuit; (b) the phase difference between the voltage across the source and the current; (c) the power dissipated in the circuit; and (d) thepower factor.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter15: Alternating-current Circuits

Section: Chapter Questions

Problem 62CP: A 1.5k resistor and 30-mH inductor are connected in series, as below, across a120-V(rms)ac power...

See similar textbooks

Similar questions

Calculate the rms currents for an ac source is given by v(t)=v0sint , where V0=100V and =200rad/s when connected across (a) a 20F capacitor, (b) a 20-mH inductor, and (c) a 50 resistor.
For an RLC series circuit, the voltage amplitude and frequency of the source are 100 V and 500 Hz, respectively; R=500 ; and L = 0.20H . Find the average power dissipated in the resistor for the following values for the capacitance: (a) C=2.0F and (b) C=2.0F .
An ac source of voltage amplitude 10 V delivers electric energy at a rate of 0.80 W when its current output is 2.5 A. What is the phase angle between the emf and the current?
A 1.5k resistor and 30-mH inductor are connected in series, as below, across a120-V(rms)ac power source oscillating at 60-Hz frequency. (a) Find the current in the circuit. (b) Find the voltage drops across the resistor and inductor. (C) Find the impedance of the circuit. (d) Find the power dissipated in the resistor. (e) Find the power dissipated in the inductor. (1) Find the power produced by the source.
A 40-mH inductor is connected to a 60-Hz AC source whose voltage amplitude is 50 V. If an AC voltmeter is placed across the inductor, what does it read?
At 1000 Hz, the reactance of a 5.0-mH inductor is equal to the reactance of a particular capacitor. What is the capacitance of the capacitor?
In an L-R-C series circuit, suppose R = 300 ohms, L = 60 mH, C = 0.50 uF, V = 50 V, and w = 10,000 rad/s. Find the phase angle φ, and the voltage amplitude across each circuit element (inductor, resistor, capacitor).
A series AC circuit contains a resistor, an inductor of150. mH, a capacitor of 5.00 µF, and a generator with ΔVmax =240. V operating at 50.0 Hz. The maximum current in the circuitis 100. mA. Calculate (a) the inductive reactance, (b) thecapacitive reactance, (c) the impedance, (d) the resistance inthe circuit, and (e) the phase angle between the current andthe generator voltage.
A 50.0-Hz generator with an rms voltage of 115 V is connectedin series to a 3.12@kΩ resistor and a 1.65@mF capacitor. Find (a) therms current in the circuit and (b) the phase angle, f, between thecurrent and the voltage
An AC voltage of the form Δv 5 (90.0 V) sin (350t) isapplied to a series RLC circuit. If R = 50.0 Ω, C = 25.0 µF,and L = 0.200 H, find the (a) impedance of the circuit,(b) rms current in the circuit, and (c) average power deliveredto the circuit.
Consider a series RLC circuit where ?=25.0 Ω,?=15.5 μF and ?=0.0940 H, that is driven at a frequency of 80.0 Hz. Determine the phase angle ? of the circuit in degrees. ?= ∘∘ Given the phase angle, which statements are true? Overall, the system is capacitive. The current lags the voltage. The voltage lags behind the current. Overall, the system is inductive.
. For an RLC series circuit, the voltage amplitude andfrequency of the source are 100 V and 500 Hz, respectively;R = 500 Ω; and L = 0.20 H . Find the average powerdissipated in the resistor for the following values for thecapacitance: (a) C = 2.0µF and (b) C = 0.20 µF.