Solve the Circuit: Find v(t) Over Inductors

  • Thread starter Thread starter jesuslovesu
  • Start date Start date
  • Tags Tags
    Circuit Inductors
Click For Summary
SUMMARY

The discussion focuses on solving for the voltage v(t) across inductors in a circuit with initial currents i0(0) = 10 A and i1(0) = 20 A. The total current through the inductors is calculated as 30 A, leading to the voltage expression v(t) = 1440 e^(-600t). However, a discrepancy arises as the textbook indicates the coefficient should be -1440. The confusion stems from the direction of current flow and the voltage polarity across the inductors.

PREREQUISITES
  • Understanding of basic circuit theory, specifically inductors and their behavior.
  • Familiarity with Kirchhoff's laws and how they apply to circuit analysis.
  • Knowledge of exponential decay functions in electrical circuits.
  • Ability to interpret and manipulate circuit diagrams.
NEXT STEPS
  • Review the principles of inductor voltage polarity and current direction.
  • Study Kirchhoff's Voltage Law (KVL) for complex circuits.
  • Learn about the mathematical derivation of voltage across inductors in transient analysis.
  • Explore circuit simulation tools like LTspice to visualize current and voltage behavior.
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing transient responses in inductive circuits.

jesuslovesu
Messages
185
Reaction score
0

Homework Statement


http://img134.imageshack.us/img134/8382/circujitqt7.th.jpg

i0(0) = 10 A
i1(0) = 20 A
The currents through the inductors flow from top to bottom. And v(t) is + on top and - on bottom

Homework Equations


The Attempt at a Solution



Find the voltage v(t) over both inductors.
Since the current going through both inductors is 30 amps total, I get 30*48 ohms
v(t) = [tex]1440 e^(-600t) [\tex]<br /> unfortunately, according to my book it's -1440 for the coefficient, what am I doing wrong?<br /> I really don't see why it would be negative, both of the currents are flowing in the same direction[/tex]
 
Last edited by a moderator:
Physics news on Phys.org
The current going through the resistor is going from bottom from top. So the bottom must be more positive than the top
 

Similar threads

Current through an inductor as a function of time
  • · Replies 10 ·
Replies
10
Views
1K
How to Calculate Energy Stored in an Inductor?
  • · Replies 16 ·
Replies
16
Views
4K
Potential Drop Across 15-mH Inductor at t=0?
  • · Replies 5 ·
Replies
5
Views
2K
Solving Inductor Circuit Homework Problems
  • · Replies 52 ·
2
Replies
52
Views
13K
What is the maximum value of the current through the inductor?
  • · Replies 34 ·
2
Replies
34
Views
7K
Current flowing through a resistor in an RRL DC circuit
  • · Replies 5 ·
Replies
5
Views
2K
Find the current through the inductor
  • · Replies 19 ·
Replies
19
Views
3K
How to find the expression for current and power in an inductor
  • · Replies 12 ·
Replies
12
Views
2K
Find resistance of inductor in series RLC circuit
  • · Replies 5 ·
Replies
5
Views
2K
Current through an inductor after a switch closes
  • · Replies 4 ·
Replies
4
Views
3K