P3.1 An RLC circuit is shown in Figure P3.1. (a) Identify a suitable set of state variables. (b) Obtain the set of first-order differential equations in terms of the state variables. (c) Write the state differential equation Figure P3.1 RLC circuit v(t) Voltage source - R i(t) L vc(1)

P3.1 An RLC circuit is shown in Figure P3.1. (a) Identify a suitable set of state variables. (b) Obtain the set of first-order differential equations in terms of the state variables. (c) Write the state differential equation Figure P3.1 RLC circuit v(t) Voltage source - R i(t) L vc(1)

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter32: Alternating-current Circuits

Section: Chapter Questions

Problem 1P: (a) What is the resistance of a lightbulb that uses an average power of 75.0 W when connected to a...

See similar textbooks

Related questions

Q: The slide generator in the figure below is in a uniform magnetic field of magnitude 0.0500 T. The…

A: The current in the generator is 136.36 A Explanation:Step 1:Step 2:Step 3:

Q: EXAMPLE 31-8 ESTIMATE A solar sail. Proposals have been made to use the radiation pressure from the…

Q: Problem 3 Consider a ring and a disk parallel to each other with their central axes along a common…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: ose an isolated magnetic South pole is discovered an then dropped through a horizontal conducting…

A: As the isolated magnetic south pole enters the loop, the magnetic flux due to the South pole…

Q: (-8,0) A LOST B (7,0) 仲 (0-3) Find resultant vector

A: The objective of the question is to find the resultant vector of two points A and B located at…

Q: Broad spectrum white light containing wavelengths from 420 nm to 730 nm falls on arefraction grating…

A: 1.0981 mExplanation:

Q: The inverse square law of gravitational attraction between two masses m1 and m2 is given by F = −Gm…

Q: An electron in a television tube is accelerated uniformly from rest to a speed of 8.6 × 107 m/s over…

A: From this information we will find the acceleration of the electron, which remains constant for any…

Q: n this problem, an astronaut is landes on the 6.1×1021 kg asteroid traveling at 9830 m/s and…

A: Total mass is Initial velocity is The object breaks into two pieces of equal masses.The speed of one…

Q: A double slit pattern is produced by shining a laser light with a wavelength of 550nm on a pair of…

A: In the question, it is given that

Q: In the Bohr model of the hydrogen atom, the electron moves in a circular orbit of radius 5.3 × 10-11…

Q: 79. A series RL circuit has two resistors and two inductors. The resistors dissipate 7 W and 12 W.…

A: The objective of the question is to find the current flowing through a series RL circuit given the…

Q: 2. A long wire carrying 4.50 A of current makes two 90° bends, as shown in the figure below. This…

Q: 1) Light of wavelength 550 nm in air is found to travel at 1.96 × 108 m/s in a certain liquid. (c =…

A: (a) 1.53 (b) 5.45×1014 HzExplanation:

Q: Four closed surfaces, S, through S, together with the charges -2Q, Q, and -Q are sketched in Figure.…

Q: calculate the structure factor of CsCl considering the contribution of all atoms in the unit cell

A: The objective of the question is to calculate the structure factor of CsCl considering the…

Q: If the ball at E exerts a force of 18 N on the ground, find the applied force Fin units of N. The…

A: The objective of the question is to find the applied force F in units of N when the ball at point E…

Q: will someone please help me with this physics questions? Part A: draw a detailed motion diagram to…

A: A. options wrongB. 5th option correct, 11.76m/sC. 2nd option correct, 7.056mExplanation:Step 1:A).…

Q: Consider the magnetic forces and particle velocities shown in the figure. a. What is the direction…

A: Solution: (a) Magnetic field will be inwards.(b) Magnetic field will be towards left.(c) Magnetic…

Q: The following is the interference pattern from laser light on a double slit. 0 cm 10 cm Which of the…

A: The question is asking about the effect of increasing the distance between the slits (d) in a…

Q: Two long parallel wires carry currents of 3.61 A and 6.69 A. The magnitude of the force per unit…

Q: 10. A resistor made from a material with a p = 78 Ω m. The resistor is cylindrical with a length of…

A: A) 200 kΩB) 15 μAC) 300 μC The solutions are given below.Explanation:A) Resistance:L = 3.9 cmr =…

Q: Two vectors are given by A = 3 î + 6 ĵ and B = -1 î + ĵ. (a) Find A × B. k (b) Find the angle…

A: So the final answer is A∗B=9k^And angle between them θ=71.56oExplanation:

Q: consider a closed hemispherical gaussian surface with radius R=0.5m immersed in a uniform magnetic…

Q: Problem 1: a) What is the momentum of a garbage truck that has a mass of 1.1 × 10* kg and a speed of…

Q: Problem 1: = 0.1 m. In the figure below four wires are on the corners of a square with a side of…

A: Net Magnetic field at point P is (8×10−6i^−8×10−6j^)TExplanation:Step 1: Step 2: Step 3: Step 4:

Q: 2- An infinitely long thin conductor is bent into L-shape as shown in the figure. Find an expression…

Q: On planet Q, g = 2.24 m/s^2, If the mass of planet Q is 8.96 x 10^21kg, what is the radius of planet…

Q: ει R1 a R1 w R2 R1 www R1 As shown in the figure, the resistances are R1 = 3.0 2 and R2 = 6.0 2, and…

Q: Which of the following will lead to the greatest linear acceleration? Decrease force F; Decrease…

A: The objective of the question is to determine which of the given scenarios will result in the…

Q: 1. Two straight parallel wires carry currents of I₁ = 12.5 A and I2 = 11.6 A in opposite directions…

Q: Part A Wavelength is O the time in which an oscillation repeats itself. O the distance in which an…

A: diagram for wave length

Q: 4. An object has a weight of 8.10 N when in air. However, it submerged in water. What is the density…

Q: A bullet with a mass m₂ = 11.9 g is fired into a block of wood at velocity Ub = 265 m/s. The block…

Q: Don't use chatgpt

A: The objective of the question is to find the power delivered to the electron at the instant that its…

Q: A medieval city has the shape of a square and is protected by walls with length 500 m and height 15…

Q: The figure below shows forces acting at various points on a metal rod. The angles α = 40°, B = 25°,…

A: (a) For an axis through O perpendicular to the page, the net torque is -30.6 Nm in the…

Q: 2. Let a rope with a force F=180N pulls a 30kg crate up an inclined plane at a constant velocity v…

A: Force F=180 N Mass of crate, m=30 kg

Q: Force (N) 65 3 2 -2 -3 -4 -5 72345 -10 1 2 4 5 7 8 9 10 11 12 Time (s)

A: Also from impulse-momentum theorem, the change in linear momentum is equal to the impulse.

Q: Four resistors are connected as shown below. R1 = R2 = R3 = R4 = 36 Ω. The voltage across the…

A: voltage across R2 = 52 VExplanation:Approach to solving the question: Detailed explanation:…

Q: Antireflection Coating A glass lens (nglass = 1.52) has an antireflection coating of MgF2 (n =…

A: Part A: thickness should be 96.4 nm Part B: thickness should be 96.4 nmExplanation:Step 1:Step 2:

Q: 1. An artillery shell is fired so that its horizontal range is twice its maximum height. At what…

Q: 9.8 What are the directions of the centrifugal and Coriolis forces on a person moving (a) south near…

A: Here is the solution of your question:-Explanation:To understand the directions of the centrifugal…

Q: A soccer player can kick the ball 23 m on level ground, with its initial velocity at 43 ∘ to the…

Q: Part A What is the electric potential of the protein at the surface? Express your answer with the…

Q: The shortest wavelength of the hydrogen Lyman series is 91.13 nm. Find the three longest wavelengths…

A: The First longest wavelength of the Lyman series will occur for n=1, m=2.

Q: In Figure (1), a 3.50 g bullet is fired horizontally at two blocks at rest on a frictionless table.…

Q: 13-8. What force does a 180-1b man exert on the floor of an elevator that is moving downward and…

A: The objective of the question is to find the force exerted by a man on the floor of an elevator that…

Q: Solve the motion of the damped harmonic oscillator driven by a force Fext(t) = Fo cos² wt

Q: A rigid beam with one end at the origin has a force, F = 3.5 i +3.7 j +10 k N acting on it at a…

A: The objective of the question is to calculate the magnitude of the torque exerted by a force on a…

Question

Problem 3.1 (Rename R to R1 and add R2 in parallel with C.)

P3.1 An RLC circuit is shown in Figure P3.1 . (a) Identify a suitable set of state variables. (b) Obtain the set of first-order differential equations in terms of the state variables. (c) Write the state differential equation.
Figure P3.1 RLC circuit
v(t)
Voltage
source
+
R
i(t)
L
+
v(t)

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: Step 1

VIEW

Step 2: Step 2

VIEW

Solution

VIEW

Step by step

Solved in 3 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

Write down the Kirchhoff Junction equation and solve it for I, in terms of I, and I3. Write the result here: I1 Write down the Kirchhoff Loop equation for a loop that starts at the lower left corner and follows the perimeter of the circuit diagram clockwise. 0 = Write down the Kirchhoff Loop equation for a loop that starts at the lower left corner and touches the components 4V, R2, and R3. 0 = The resistors in the circuit have the following values: R1 = 13 N R2 = 6 N R3 = 2 N Solve for all the following (some answers may be negative): I1 Amperes I, = Amperes I3 = Amperes NOTE: For the equations, put in resistances and currents SYMBOLICALLY using variables like R1,R2,R3 and I,I2,I3. Use numerical values of 10 and 4 for the voltages.
S 3. For the circuit shown to the right, the resistance is 4,000 Ohms, the capacitance is 100x10-6 F, and the battery is 30 V. + C a. What is the time constant for the circuit?. b. What is the current in the circuit at t = 0 and t = infinity? c. What is the current in the circuit as a function of time?
Problem 3: Show how to calculate the noise figure (NF2) for a particular circuit fed from a source with internal resistance Rs2 knowing its noise figure (NF1) when it is fed from a source with internal resistance Rs1. In your solution sketch the system as usual.
Give the symbolic expression for the emf E using KVL for the circuit with S1 closed and S2 open. Give your answer in terms of the current I, resistor R, capacitors C1 and C2 and charges stored in the respective capacitors Q1 and Q2. Use * to denote product and / to denote division. So to group the product of, say, a and b_1 write a*b_1. And to write a ratio of say, c_1 and d write c_1/d. To add the product and ratio write a*b_1 + c_1/d . a)Write the mathematical expression for emf E. E= In the figure there's a circuit with an emf E=21V, two resistors R1=35kΩ and R2=5.5kΩ, two capacitors C1=25μF and C2=22μF and two switches S1 and S2. b) Find the time constant for this configuration of the circuit. Time constant τ c) Find how much charge will be stored in C2 after time t=1.3τ seconds. Charge stored in C2 PartII After t=10τ seconds, we open switch S1 and close switch S2. Mark current time as t′=0. In this configuration, capacitor C2 discharges through the resistor R2. d) Find…
A large capacitor of 3000 µF is charged by a constant current. After 1 minute it reaches a voltage of 100 V. At that voltage, the charging circuit is disconnected. a) Calculate the charging current. b) A second identical capacitor is connected across the capacitor, using wires with 1 kN re- sistance. Sketch a graph of the voltages on the two capacitors as a function of time, with appropriate numbers and units marked on the axes.
Question 2 -12 Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N m2 /C2. Vacuum permitivity, €o = 8.854 x 10 Permeability of vacuum, µo electron, me = 9.10938356 x 10 31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb F/m. Magnetic 12.566370614356 × 10 H/m. Magnitude of the Charge of one electron, e = -1.60217662 x 10-19 C. Mass of one Ri Rz P E3 Ry ww Ra
1. 2. 3. Identify whether the circuit is connected in series or in parallel. a. a. 12V a. C1 Is + Ri C2 VI₂ M C3 R3 5 VI b. b. MMM R₂ Ri b. + C1 VCI ㅣ사 R3 C2 VC₂ VCxy C3 VC3
For R1=20, R2=50, R3=20, R4=10, R5=10, V1=25 V, V2=35 V & 11=6 A in the circuit shown below, apply source transformation to find Vx (in volt) RI R3 RS V1 R2 R4 v2
Problem 3: Consider a circuit shown in the figure. Ignore the internal resistances of the batteries. ℰ1 = 34 Vℰ2 = 46 VR1 = 10 ΩR2 = 4 ΩR3 = 8 Ω. 1. Write the equation of potential change in loop DCAF in terms of the circuit elements. 2. Solve the three equations to get I3. 3. Calculate the numerical value of I3 in A. 4. Calculate the numerical value of I2 in A. 5. Calculate the numerical value of I1 in A.
Problem 2: For the circuit show below, what are I₁, I2,I3? ε₁ = 8V, ε₂ = 12V, R₁ = 6 N, R₂ = 2, R3 = 4 N. Answers: 1₁ = 1.64 A, I₂ = 0.91 A, I3 = 2.55 A. https://www.handymath.com/cgi-bin/matrix3d.cgi R3 E2 13 13 R2 12 12 R₁ 11 Γω I₁
ELECTRICAL POTENTIAL AND CURRENT: V IR E-P P IV C Pt Series Circuits: Parallel Circuits: V, = V, + V,+ V, +. V, = V, = V, V, .. 1. 1. R, = R, + R, + R, +. RT R, R Based on the circuit drawn below: (Please use your VIRP chart) R = 15 Q V = 120 V R2 = 20 2 R3 5 2 W-
To measure signal propagation in a nerve in the arm, the nerve is triggered near the armpit. The peak of the action potential is measured at the elbow and then, 4.0 ms later, 24 cm away from the elbow at the wrist.a. What is the speed of propagation along this nerve?b. A determination of the speed made by measuring the time between the application of a stimulus at the armpit and the peak of an action potential at the elbow or the wrist would be inaccurate. Explain the problem with this approach, and why the noted technique is preferable.