Answered: What is the capacitance of an…

What is the capacitance of an oscillating LC circuit if the maximum charge on the capacitor is 1.60 mC and the total energy is 140 mJ?

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter14: Inductance

Section: Chapter Questions

Problem 70P: In an oscillating RLC circuit, R=5.0 ,. L=5.0mH , and C = 500 F . What is the angular frequency of...

See similar textbooks

Related questions

Q: An LC circuit consists of a 20.0-mH inductor and a 0.500-μF capacitor. If the maximum instantaneous…

A: GivenInductance L = 20.0 mhCapacitance C = 0.500 μFMaximum instantaneous current i =…

Q: Charges on the capacitors in three oscillating LC circuits vary as: (1) q = 2 cos 4t, (2) q = 4 cos…

A: a) Thus the required ranking for current amplitude is

Q: What is the reactance of a 1.00-nF capacitor at (a) 60.0 Hz, 24 (b) 6.00 kHz, and (c) 6.00 MHz?

A: The quantity 1ωC is the effective AC resistance or the capacitive reactance of the capacitor and is…

Q: Consider an LC circuit in which L = 520 mH and C = 0.128 µF. (a) What is the resonance frequency w,?…

A: L = 0.52 H C = 0.128 micro farad

Q: For what value of the phase angle ϕ between the voltage output of an ac source and the current is…

A: The average power output of the source is given as,

Q: In an oscillating LC circuit, L = 4.19 mH and C = 3.65 pF. At t = 0 the charge on the capacitor is…

Q: A 120-V rms voltage at 1.0 kHz is applied to a 2.0-mH inductor, a 4.0-µF capacitor and a resistor.…

A: Given Vrms=120 V Irms=30A Frequency f=1kHz Inductance L=2mH Capacitance C=4μF

Q: An oscillating LC circuit consists of a 75.0 mH inductor and a 3.60 mF capacitor. If the maximum…

Q: In an oscillating LC circuit, L = 8.00 mH and C = 1.40 mF.At time t = 0, the current is maximum at…

Q: A generator produces 40 MW of power and sends it to town at an rms voltage of 75 kV. What is the rms…

A: The power is given by, P=VrmsIrms Thus, Irms=PVrms

Q: What is the self-inductance of an LC circuit that oscillates at 60 Hz when the capacitance is 10 μF…

Q: An inductor with inductance L and a charged capacitor with capacitance C are put in a single loop.…

A: Given data: The LC series circuit With inductance = L And a charged capacitor = C Required: The…

Q: A 10 nF capacitor is charged to a potential of 120 V The capacitor is then connected to an inductor…

Q: What is the capacitance of a capacitor whose reactance is 10 Ω at 60 Hz?

A: The capacitive reactance, XC=10 Ω The current frequency, f=60 Hz

Q: An LC circuit contains a 20 mH inductor and a 50 µF capacitor with an initial charge of 10 mC. The…

Q: What is the inductance L of a coil connected to this capacitor if the oscillation frequency of the…

Q: A 12.5@mF capacitor and a 47.5@mF capacitor are connected toan ac generator with a frequency of 60.0…

A: The capacitors, C1=12.5 mF=12.5×10-3 FC2=47.5 mF=47.5×10-3 F The frequency, f=60.0 Hz

Q: An RLC circuit has a capacitance of 0.29 mF. (a) What inductance will produce a resonance frequency…

A: a. Resonant frequency can be expressed as,

Q: An RLC series circuit has a 195 Q resistor and a 25.0 mH inductor. At 8000 Hz, the phase angle is…

A: a)Phase angle∅=tan-1XL-XCRtan45=XL-XCR

Q: What capacitor in series with a 100 Ω resistor and a 20 mH inductor will give a resonance frequency…

A: The resonance frequency is given by, f0=12πLC Here, L is the inductance and C is the capacitance.

Q: A capacitor with the capacitance of 22 µ F is charged to with a 63 V battery and the battery is…

A: The capacitance is defined as the ratio of the charge stored to the potential difference applied…

Q: For what absolute value of the phase angle does a source deliver 74 % of the maximum possible power…

A: The expression for the phase angle is,

Q: A charge capacitor is connected to an ideal inductor to form an LC ciruit with a frequency of…

A: When the capacitor has maximum energy, the circuit will have only electric energy. At any other…

Q: The values of the phase constant f for four sinusoidally driven series RLC circuits are (1) -15°,…

A: Given: The values of the phase constant for different sinusoidal wave is, (1) -15°, (2) +35°, (3)…

Q: A sinusoidal signal has a 580.59 V peak to peak amplitude. What is its RMS value, to 3 significant…

A: Given,

Q: In an oscillating LC circuit with L = 50 mH and C = 4.0 mF, the current is initially a maximum. How…

Q: To receive AM radio, you want an RLC circuit that can be made to resonate at any frequency between…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: If the ratio of the energy stored in a capacitor compared to the total energy stored in an LC…

Q: Figure 4 shows LC circuit with inductance, L = 19.8 mH and capacitance, C = 19.6 mF. At certain…

A: Part (i): Given data: The inductance is L=19.8 mH The capacitance is C=19.6 mF The energy in the…

Q: What is the period of oscillation of an LC circuit consisting of an ideal 2.0-mH inductor and a…

A: Given that - Inductor Capacitor To Find - In the given question , We have to determine the period…

Q: An oscillating LC circuit consisting of a 1.0 nF capacitorand a 3.0 mH coil has a maximum voltage of…

A: a) The expression for the maximum charge on the capacitor is,

Q: An LC circuit in an AM tuner (in a car stereo) uses a coil with an inductance of 2.5 mH and a…

A: Relation between the angular frequency (ω) and frequency (f). Then we substitute ω for the…

Q: An LC circuit is composed of a 100.0 mH inductor and a 4.0 µF capacitor. If the capacitor can have a…

Q: In an oscillating LC circuit, L = 3.00 mH and C = 2.70 mF. At t = 0 the charge on the capacitor is…

Q: At 1000 Hz, the reactance of a 5.0-mH inductor is equal to the reactance of a particular capacitor.…

A: The capacitive reactance is defined as XC=12πfC Here f is the frequency and C is capacitance. The…

Q: In an LC oscillating circuit, and if we know the values of the inductance and the capacitance then…

A: The angular frequency of an LC oscillator is given by the equation; ω=1LC

Question

What is the capacitance of an oscillating LC circuit if the maximum
charge on the capacitor is 1.60 mC and the total energy is
140 mJ?

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

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

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

The self-inductance and capacitance of an LC circuit e 0.20 mH and 5.0 pF. What is the angular frequency at which the circuit oscillates?
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?
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?
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.
An LC circuit in an AM tuner (in a car stereo) uses a coil with an inductance of 2.5 mH and a variable capacitor. If the natural frequency of the circuit is to be adjustable over the range 540 to 1600 kHz (the AM broadcast band), that range of capacitance is required?
What is the capacitance of a capacitor whose reactance is 10 at 60 Hz?
What is the self-inductance of an LC circuit that oscillates at 60 Hz 1ien the capacitance is 10 F ?
At s1iat frequency is the reactance of a 20F capacitor equal to that of a 10-mH inductor?
In an LC circuit, what determines the frequency and the amplitude of the energy oscillations in either the inductor or capacitor?
The emf of an ac source is given by v(t)=V0sint, where V0=100V and =200 . Find an expression that represents the output current of the source if it is connected across (a) a 20-pF capacitor, (b) a 20-mH inductor, and (c) a 50 resistor.
In an oscillating RLC circuit, R=5.0 ,. L=5.0mH , and C = 500 F . What is the angular frequency of the oscillations?