Power delivered by battery in simple RL circuit

Click For Summary
SUMMARY

The discussion focuses on calculating the energy delivered by a battery in a simple series LR circuit. The relevant equations include the current formula I = (V/R)*(1-e^(-Rt/L)), power P = IV, and energy E = ∫Pdt. The user attempts to integrate the power expression but questions their approach after reviewing the book's solution. The correct integration of the power over time is crucial for accurately determining the energy delivered by the battery.

PREREQUISITES
  • Understanding of series LR circuits
  • Familiarity with calculus, specifically integration
  • Knowledge of electrical power formulas
  • Basic concepts of exponential decay in electrical circuits
NEXT STEPS
  • Review the integration techniques for power in electrical circuits
  • Study the behavior of RL circuits under different voltage sources
  • Learn about energy storage in inductors
  • Explore the effects of resistance and inductance on circuit performance
USEFUL FOR

Students studying electrical engineering, educators teaching circuit analysis, and anyone interested in understanding energy dynamics in RL circuits.

Taulant Sholla
Messages
96
Reaction score
5

Homework Statement


For a simple series LR circuit, find the energy delivered to the circuit by the battery.

Homework Equations


I = (V/R)*(1-e-Rt/L)
P=IV
E=∫Pdt

The Attempt at a Solution


Isn't ∫ Pdt = ∫ IVdt = ∫ (V2/R)*(1-e-Rt/L)dt = (V2/R)(t + (L/R)e-Rt/L) ?

The book provides the answer, via a sample problem, of:
Capture.JPG


What am I missing?
 
Physics news on Phys.org
Oops - sorry - disregard the original post.
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 18 ·
Replies
18
Views
3K
Replies
7
Views
2K
  • · Replies 9 ·
Replies
9
Views
5K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
1
Views
2K
  • · Replies 6 ·
Replies
6
Views
7K
  • · Replies 3 ·
Replies
3
Views
1K