1.) An LC circuit has a capacitance of C = 0.5 µF and an inductance of L = 5.5 mH. At time t = 0 s the inductor has a current of i completely discharged. (a) Calculate the resonant frequency of the circuit. (b) What is the maximum charge of the capacitor? (c) Write down the equation of the charge with respect to time, where the only variables are q and t. (d) Write down the equation of the current with respect to time, where the only variables are i and t. %3D %3D 3.0 mA through it and the capacitor is

1.) An LC circuit has a capacitance of C = 0.5 µF and an inductance of L = 5.5 mH. At time t = 0 s the inductor has a current of i completely discharged. (a) Calculate the resonant frequency of the circuit. (b) What is the maximum charge of the capacitor? (c) Write down the equation of the charge with respect to time, where the only variables are q and t. (d) Write down the equation of the current with respect to time, where the only variables are i and t. %3D %3D 3.0 mA through it and the capacitor is

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

Related questions

Q: An LC circuit consists of an inductor and capacitor connected to each other in a single loop with no…

Q: capacitor of capacitance 160 μF and an inductor form an LC circuit that oscillates at 11 kHz, with a…

A: Ans 1 The inductance is given by;

Q: A series RLC circuit consists of a 60 resistor, a 2.2 mH inductor, and a 720 nF capacitor. It is…

Q: 66. The self-inductance and capacitance of an oscillating LC circuit are L= 20 mH and C = 1.0 µF,…

A: L = 20 mH C = 1.0 uF Vo = 50 V

Q: After you disconnect the DC power supply from an LC circuit, it oscillates at a frequency of f. Now…

A: The LC oscillation frequency is given by : f=12πLC When the circuit is cooled, L and C are kept…

Q: A 40-mH inductor is connected to a 60-Hz AC source whose voltage amplitude is 50 V. If an AC…

A: We have-Inductor is 40 mHFrequency of AC source is 60 HzVoltage amplitude is 50 VoltRMS voltage,…

Q: 4) You have a 250-2 resistor and a 0.410-H inductor. Suppose you take the resistor and inductor and…

Q: In the circuit, the capacitor is fully charged when switch ?S is closed. Calculate the time needed…

A: Energy stored in the inductor UL = 12Li2 Energy stored in the…

Q: A sinusoidal voltage Δv = 45.0 sin(100t), where Δv is in volts and t is in seconds, is applied to a…

A: Given that --- Δv = 45.0 sin(100t) L = 170 mH, C = 99.0 µF, R = 60.0 Ω. Question ? e) What If?…

Q: We give the expressions of the impedances: A resistor R: ZR = R An ideal inductor L: Z 1 = Lo - An…

A: The impedance of the resistor is ZR = R The impedance of the inductor is The impedance of the…

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

Q: Problem In an oscillating LC circuit, L = 1.30 mH and C = 4.51 pF. The maximum charge on the…

A: Given,

Q: An inductor and a capacitor are connected in series. It is found that it takes takes 2 microsecond…

A: Capacitors are the devices used to store electrical charges inside them. Inductors are the devices…

Q: In an oscillating series RLC circuit, with a 8.36 2 resistor and a 15.8 H inductor, find the time…

A: Assume charge at capacitor at time t=0 is Q In RlC circuit charge across capacitor is :- q =…

Q: A series AC circuit contains a resistor, an inductor of 250 mH, a capacitor of 4.30 µF, and a source…

A: As per guidelines, the first three parts are answered. For the remaining questions to be answered,…

Q: - 6 In an oscillating LC circuit, the maximum charge on the capacitor is 4.5 x 10 current through…

Q: A coil possesses an inductance of 50.0 mH and a resistance of 20.0 Ω. A capacitor C is joined in…

A: For a critically damped RLC circuit, the damping resistor R is given by: R = 2 * sqrt(L/C) where L…

Q: What is the current I (t) in the circuit at time after the switch is closed? Express your answer in…

Q: 10) An LC circuit consists of a 3.75 mH inductor and a 7.5 μF capacitor. Randomized VariablesL =…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: A series RLC circuit is driven in such a way that the maximum voltage across the inductor is 1.50…

A: The phase angle of LCR circuit is given as Here,

Q: For an RLC circuit in the limit of very high frequency, what is the effective behavior of the…

Question

1.) An LC circuit has a capacitance of C = 0.5 µF and an inductance of L = 5.5 mH. At time
t = 0 s the inductor has a current of i = 3.0 mA through it and the capacitor is
completely discharged. (a) Calculate the resonant frequency of the circuit. (b) What is
the maximum charge of the capacitor? (c) Write down the equation of the charge with
respect to time, where the only variables are q and t. (d) Write down the equation of
the current with respect to time, where the only variables are i and t.
%3D

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2: Part (a): Calculating resonance frequency of the circuit

VIEW

Step 3: Calculating the maximum charge of the capacitor

VIEW

Step 4: Part (C): The equation of charge with respect to time

VIEW

Step 5: Conclusion

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 5 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

Which statement is correct about LC circuit shown below? Assume the capacitor and inductor got initially connected when the capacitor was fully charged. C L The energies stored in capacitor and inductor remain equal at all times. ○ The current is maximum when capacitor is empty of charge. ○ The current is maximum when capacitor is full of charge. ○ The capacitor stores a larger maximum energy than the inductor.
A sinusoidal voltage Δv = 45.0 sin(100t), where Δv is in volts and t is in seconds, is applied to a series RLC circuit with L = 170 mH, C = 99.0 µF, and R = 60.0 Ω. e) What If? For what value of the inductance (in H) in the circuit would the current lag the voltage by the same angle ? as that found in part (d)? f) What would be the maximum current (in A) in the circuit in this case?
An RLC series circuit shown below is driven by an AC source of voltage amplitude 200 volt and angular frequency of 6950 radian per second. Given. Resistance R = 30 0, Inductance L = 7 mH and Capacitor C = 90 µF R L C Find the following: ) Capacitive reactance of the capacitor? m) Inductive reactance of the inductor? i) Impedance of the RLC series circuit? iv) RMS current in the circuit? v) The phase angle between the emf and current?
Please give a detailed solution Thank-you
step by step plz
An LR circuit consists of an inductor with L = 2.5 x 10* H and a resistor with R 5.3 connected in series to an oscillating source of cmf. This source generates a voltage given by E= Emax Sin(@t) with E a) What is the maximum current in the circuit? b) What is the phase angle of the current? c) What is the average power dissipated in the resistor? %3D 0.40 V and w =6x 10* rad/s.