X, Y, its the currents sc

icon
Related questions
Question
Question 8
A current of 13 amperes branches into currents x, y, and z through resistors with resistences 2, 8, and 6
ohms as shown.
X =
y =
I=13 amps
Z=
< >
It is known that the current splits in such a way that the sum of the currents through the three resistors
equals the initial current. The energy generated in each resistor is given by E I'R, where I is the
current in that resistor and R is the resistance. Use Lagrange multipliers to find the currents x, y, and z
which will minimize the total energy generated. (It turns out that nature always splits the currents so that
the total energy is minimized.)
Questis
I=x, R=2
I=y, R=8
I=2, R=6
m
Vide
amps
amps
amps
Transcribed Image Text:Question 8 A current of 13 amperes branches into currents x, y, and z through resistors with resistences 2, 8, and 6 ohms as shown. X = y = I=13 amps Z= < > It is known that the current splits in such a way that the sum of the currents through the three resistors equals the initial current. The energy generated in each resistor is given by E I'R, where I is the current in that resistor and R is the resistance. Use Lagrange multipliers to find the currents x, y, and z which will minimize the total energy generated. (It turns out that nature always splits the currents so that the total energy is minimized.) Questis I=x, R=2 I=y, R=8 I=2, R=6 m Vide amps amps amps
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer