A 30-µF capacitor is connected across a 60-Hz acsource whose voltage amplitude is 50 V. (a) What is themaximum charge on the capacitor? (b) What is themaximum current into the capacitor? (c) What is the phaserelationship between the capacitor charge and the current inthe circuit?

A 30-µF capacitor is connected across a 60-Hz acsource whose voltage amplitude is 50 V. (a) What is themaximum charge on the capacitor? (b) What is themaximum current into the capacitor? (c) What is the phaserelationship between the capacitor charge and the current inthe circuit?

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter15: Alternating-current Circuits

Section: Chapter Questions

Problem 15.1CYU: Check Your Understanding If a European ac voltage source is considered, what is the time difference...

See similar textbooks

Related questions

Q: istance is R, the inductance is L, and the impressed voltage is E(t). (Use i for

Q: An electric motor, under load, has an effective resistance of 30 ohms and an inductive reactance of…

Q: At high frequencies, a capacitor becomes a short circuit. Dis- cuss why this is so.

A: To find: At high frequencies, a capacitor becomes a short circuit.

Q: A radio can tune over the frequency range of a portion of MW broadcast band: (800 kHz to 1200 kHz).…

Q: A 25-µF capacitor is connected to an emf given byv(t) = (160 V) sin (120πt) . (a) What is the…

A: (a) The frequency is given by, f=60 Hz The reactance of the capacitor is, XC=12πfCXC=12π60 Hz25×10-6…

Q: An AM radio antenna picks up a 1000 kHz signal with a peak voltage of 5 0 nmV The tuning circuit…

A: Given: Peak Voltage = 5.0 mV=5×10-3V Inductance = 60μH = 60×10-6 H Coil resistance = 0.25 ohms

Q: a) Design a broadband parallel bandreject filter with a lower cutoff frequency of 1000 rad/s, a…

A: To determine: The circuit for the broadband parallel to the bandreject filter

Q: The RC Circuit in the followthg Figure has R=3 KL and C= 5MF. The has Voltage 6 at t:o when the…

Q: In your DC experiment, when the capacitor was just beginning to charge the current in the circuit…

Q: The current in the circuit shown in the fiqure below equals 71.0% of the peak current at t = 6.50…

Q: When we draw à phásór tó geometrically represent current and potential difference in driven AC…

A: Phasor diagram is a method to represent the scalar quantities like current and voltages as vector to…

Q: Calculate the RMS value of the voltage waveform below

Q: Consider an LC circuit with the frequency of oscillations in the circuit 247.1 Hz. What is the…

Q: T Two capacitors are connected in series as shown below. The nominal capăcitances are C = 110µFand…

A: Overall capacitance Ceq = C1× C2/(C1+C2) Ceq= 110×60/(110+60) Ceq = 38.82 uF or…

Q: A certain circuit breaker trips when the rms current is 15.0 A. What is the corresponding peak…

A: Given, Irms=15A

Q: the phase between the current and EMF converge to as f>> fo, where fo is the resonant frequency?

Q: A series RLC circuit has resistance R = 50.0 Ω and inductanceL = 0.500 H. (a) Find the circuit’s…

A: Part A:

Q: In a certain series RLC circuit, Irms = 9.00 A, AVrms = 220 V, and the current leads the voltage by…

Q: Consider a capacitor of capacitance C that is being discharged through a resistor of resisiance Ras…

A: Given,

Q: ver time, the average voltage of an AC voltage is zero. Yet, an alternating current can do e heating…

A: VMrs = V0 /(2)1/2

Q: What is the RMS noise voltage associated with a 10 Q resistor at room temperature when the system…

A: Mean square noise voltage is given by- vn2¯=4kBTRhere,kB is Boltzmann'constant=4.138×10-23 J/KT =…

Q: What inductance must be conneded to Itpt capacitor r capable g getlereting 620mm Gie. Visible)…

A: The speed of the light is c = 3x108 m/s. The wavelength of the light is λ=620 nm=620×10-9 m. The…

Q: An LRC circuit is set up with an inductance of 1>5 henry, a resistanceof 1 ohm, and a capacitance…

A: Given:- An LRC circuit is set up with an inductance of L=1/5 henry, a resistance ofR= 1 ohm, and a…

Q: Find the reactance of a capacitor of capacity 1uF at 1KHZ frequecy.

Q: The change in output voltage, SE, , from a 1/4 arm Wheatstone bridge circuit is 299 micro-volts.…

Q: Current in a closed RL circuit How many seconds after theswitch in an RL circuit is closed will it…

Q: A large superconducting magnet, used for magnetic resonance imaging, has a 50.0 H inductance. If you…

A: Write the formula for the time constant.

Q: When a 4.0 - µF capacitor is connected to a generatorwhose rms output is 30. V, the current in the…

A: Capacitive reactance is given by

Q: A High Pass Filter circuit consisting of a resistor of 40070 ohms in series with a capacitor of 47nF…

Q: time intérval, and zero potential difference is measured across the capacitor. After the switch is…

Q: Senies RLC circnit Amplitnde of he voltage Source is 12OV lesistur has a valve of 80s2 Reactance of…

A: Given: The amplitude of the source voltage is 120 V. The resistance of the circuit is 80 Ω. The…

Q: A light bulb is rated at 100W in the US, where the standard wall outlet voltage is 120V. If this…

A: Given: Rating of bulb (P) = 100 W. Allowed supply (V) = 120 V. New provided supply (V’) = 240 V.

Q: Pel The RC Circuit in the followihg Fyu R=3 KSL and C= 5MF. The Capacitor has Valdage 6 at t:o when…

A: Using concept of charge on capacitor in RC circuit

Q: For the CRO square voltage wavefor own in Figure. The 'time/cm' switch O ms/cm and the 'volts/cm'…

Q: Capacitive reactance is more when O Capacitance is less and frequency of supply is less O…

Q: Find the reactance of a capacitor of capacity 1µF at 1KHZ frequecy.

Q: What is the significance of switching the feedback element i.e. resistor with a capacitor?

A: Feedback element: There are three main components in the circuit. They are input,…

Q: Hiw. Find the equivalent conductance Ge, for the circuit in figure. 55' -> 12 S Gega los ans-

Q: -Senies RLC circnit Ampli hade of he voltage Sourze is 120V - lesistur has a valve of 80s2 -…

A: Given: Vs=120 VR =80ΩXc= 480 ΩVc=360 V

Q: An RLC circuit is driven at its resonance frequency. Is its voltage ahead of, behind, or in phase…

A: When RLC circuit driven at resonance frequency then the voltage drop across the capacitor (Vc )is…

Q: A capacitor having a capacitarce of 10 uF is connected in series with a non- inductive resistor of…

A: For an RC circuit, The current(I), Real Power(P), complex Power (S), and phase difference angle (ϕ)…

Question

A 30-µF capacitor is connected across a 60-Hz ac
source whose voltage amplitude is 50 V. (a) What is the
maximum charge on the capacitor? (b) What is the
maximum current into the capacitor? (c) What is the phase
relationship between the capacitor charge and the current in
the circuit?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Given data:

Solution for (a):

Solution for (b):

Solution for (c):

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

What is the self-inductance of an LC circuit that oscillates at 60 Hz 1ien the capacitance is 10 F ?
(Indicates a review question, which means it requires only a basic understanding of the material to answer. Questions without this designation typically require integrating or extending the concepts presented thus far.) . If AC in a circuit can be thought of as a wave, which kind is it, longitudinal or transverse?
At s1iat frequency is the reactance of a 20F capacitor equal to that of a 10-mH inductor?
For what value of the phase angle between the voltage output of an ac source and the current is the average power output of the source a maximum?
Check Your Understanding In an RLC circuit, L = 5.0 mH, C=60F , and R=200 . (a) Is the circuit under damped, critically damped, or overdamped? (b) If the circuit starts oscillating with a charge of 3.0103C on the capacitor, how much energy has been dissipated in the resistor by the time the oscillations cease?
An LRC circuit is set up with an inductance of 1>5 henry, a resistanceof 1 ohm, and a capacitance of 5>6 farad. Assuming theinitial charge is 2 coulombs and the initial current is 4 amperes,find the solution function describing the charge on the capacitor atany time. What is the charge on the capacitor after a long periodof time?
A light bulb is rated at 100W in the US, where the standard wall outlet voltage is 120V. If this builb were blugged in in Europe, where the standard wall outlet voltage is 240 V, what happens to the bulb's brightness?
A 25-µF capacitor is connected to an emf given byv(t) = (160 V) sin (120πt) . (a) What is the reactance ofthe capacitor? (b) Write an expression for the current outputof the source.
We are given a capacitor for which we do not know its capacitance. In order to figure this out we connect this gadgetto an rms voltage of 6.5V at 50Hz. If the resulting rms current is 42mA, what is the capacitance?
What is the impedance of a series combination of a50-Ω resistor, a 5.0-µF capacitor, and a 10-µF capacitorat a frequency of 2.0 kHz?
Consider an LC circuit with the frequency of oscillations in the circuit 247.1 Hz. What is the maximum current Imax flowing through the circuit if the maximum charge is 0.0082 C?
Current in a closed RL circuit How many seconds after theswitch in an RL circuit is closed will it take the current i to reachhalf of its steady-state value? Notice that the time depends on Rand L and not on how much voltage is applied