A current of 16 amperes branches into currents x, y, and z through resistors with resistences 8, 6, and 2ohms as shown.I=x, R=8I=y, R=61=16 ampsI=z, R=2QIt is known that the current splits in such a way that the sum of the currents through the three resistorsequals the initial current. The energy generated in each resistor is given by E = I2R, where I is thecurrent in that resistor and R is the resistance. Use Lagrange multipliers to find the currents x, y, and zwhich will minimize the total energy generated. (It turns out that nature always splits the currents so thatthe total energy is minimized.)x=y =ampsampsz=amps

I hope this helped you and you learned a lot :) If you have any questions or clarification, do not…

Answered: A current of 16 amperes branches into…

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

Similar questions

A 10 μF capacitor with an initial energy of 0.1 J is discharged through a 7.5 MΩ resistor. What is the initial charge on the capacitor? The charge, Q0 = Units . What is the current through the resistor when the discharge starts? The current, I0 = Units . Determine the potential difference across the capacitor and the rate at which the thermal energy is dissipating in the resistance 0.9 min after the discharge starts. The potential difference across C, VC = Units . The power dissipated in R, P = Units .
Referring to the given figure where V= 21 V, use source transformation to determine the current and power absorbed by the 8-0 resistor. 32 ww 82 3 A 102 The current absorbed by the 8-0 resistor is The power absorbed by the 8-0 resistor is A. W. ww
A certain brand of hotdog cooker works by applying a potential difference of 152 V across opposite ends of a hot dog and allowing it to cook by means of the thermal energy produced. The current is 10.6 A, and the energy required to cook one hot dog is 63.2 kJ. If the rate at which energy is supplied is unchanged, how long will it take to cook three hot dogs simultaneously? Number i Units
In the figure the current in resistance 6 is ig = 1.49 A and the resistances are R1 = R2 = R3 = 1.64 Q, R4 = 15.0 2, R5 = 7.77 Q, and R6 = 4.20 Q. What is the emf of the ideal battery? %3D %3D R2 R, Rg R4 R6 Number i Units
A certain brand of hotdog cooker works by applying a potential difference of 153 V across opposite ends of a hot dog and allowing it to cook by means of the thermal energy produced. The current is 11.3 A, and the energy required to cook one hot dog is 61.8 kJ. If the rate at which energy is supplied is unchanged, how long will it take to cook three hot dogs simultaneously? Number i Units
When unequal resistors are connected in parallel in a circuit, a the same current always runs through each resistor. b the potential drop is always the same across each resistor. c the largest resistance has the largest current through it. d the power generated in each resistor is the same.
You are given a number of 14 Q resistors, each capable of dissipating only 1.0 W without being destroyed. What is the minimum number of such resistors that you need to combine in series or in parallel to make a 14 Q resistance that is capable of dissipating at least 7.4 W? Number i Units
#B03
You are given a number of 34 Q resistors, each capable of dissipating only 1.6 W without being destroyed. What is the minimum number of such resistors that you need to combine in series or in parallel to make a 34 Q resistance that is capable of dissipating at least 13.7 W? Number i Units
You are given a number of 21 0 resistors, each capable of dissipating only 2.0 W without being destroyed. What is the minimum number of such resistors that you need to combine in series or in parallel to make a 21 Q resistance that is capable of dissipating at least 6.5 W? Number i Units
An alternative to CFL bulbs and incandescent bulbs are light-emitting diode (LED) bulbs. A 100-W incandescent bulb can be replaced by a 16-W LED bulb.Both produce 1600 lumens of light. Assuming the cost of electricity is $0.10 per kilowatt-hour, how much does it cost to run the bulb for one year if it runs for four hours a day?

Recommended textbooks for you

College Physics

Physics

ISBN:

9781305952300

Author:

Raymond A. Serway, Chris Vuille

Publisher:

Cengage Learning

University Physics (14th Edition)

Physics

ISBN:

9780133969290

Author:

Hugh D. Young, Roger A. Freedman

Publisher:

PEARSON

Introduction To Quantum Mechanics

Physics

ISBN:

9781107189638

Author:

Griffiths, David J., Schroeter, Darrell F.

Publisher:

Cambridge University Press

College Physics

Physics

ISBN:

9781305952300

Author:

Raymond A. Serway, Chris Vuille

Publisher:

Cengage Learning

University Physics (14th Edition)

Physics

ISBN:

9780133969290

Author:

Hugh D. Young, Roger A. Freedman

Publisher:

PEARSON

Introduction To Quantum Mechanics

Physics

ISBN:

9781107189638

Author:

Griffiths, David J., Schroeter, Darrell F.

Publisher:

Cambridge University Press

Physics for Scientists and Engineers

Physics

ISBN:

9781337553278

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

Lecture- Tutorials for Introductory Astronomy

Physics

ISBN:

9780321820464

Author:

Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden

Publisher:

Addison-Wesley

College Physics: A Strategic Approach (4th Editio…

Physics

ISBN:

9780134609034

Author:

Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field

Publisher:

PEARSON

SEE MORE TEXTBOOKS