Calculating Voltage Amplitude with Faraday's Law

Click For Summary

Discussion Overview

The discussion revolves around calculating voltage amplitude using Faraday's Law, specifically in the context of induced electric charge and the behavior of magnetic fields. Participants explore the relationship between voltage, current, and the characteristics of the magnetic field, including its potential periodicity.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant cites Faraday's Law (V = -N.flux/time) and questions how to determine the amplitude of the induced voltage.
  • Another participant seeks clarification on what is meant by "amplitude," indicating a lack of specificity in the original question.
  • A different participant suggests that the discussion may pertain to a loop of wire with resistance, linking voltage to the current and the definition of current in relation to charge flow.
  • Another participant argues that the magnetic field function may not be periodic, thus complicating the concept of amplitude. They explain that if the source is an AC current, the voltage and magnetic flux would exhibit periodic variations, allowing for the calculation of amplitude through derivatives of the voltage function.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the definition of amplitude in this context, and multiple competing views regarding the nature of the magnetic field and its relationship to voltage and current remain unresolved.

Contextual Notes

There are limitations regarding the assumptions about the nature of the magnetic field and the conditions under which amplitude can be defined. The discussion also highlights the dependence on whether the source of the magnetic field is AC or DC, which affects the periodicity of the functions involved.

RoscoeSlash
Messages
7
Reaction score
0
Farraday's Law states V= -N.flux/time , if this calculates voltage how does one determine amplitude?
 
Physics news on Phys.org
Amplitude of what?
 
amplitude of the induced electric charge
jtbell said:
Amplitude of what?
 
I assume you are talking about a loop of wire. It presumably has a certain resistance. The voltage produces a current in the wire. The current is related to the amount of charge that flows by...? (what's the definition of current?)
 
The thing is, that the function that describes the magnetic field of the object is not necessarily a wave.
The vector field function, from which you obtain the voltage of the object, varies according to the speed of the particles moving inside of it, depending on the nature of this movement, the function will take an specific "form" and this is not necessarily a periodic one, and as such, there is no thing as an "amplitude" on all cases, thought of curse, if the source of this particles is an AC current, in which case, the energy, and in consequence, the speed of the particles would change with time forming a periodic function, the object (inductor) would experiment too, a periodic variation on both it's voltage and magnetic flux; in this case, you can "cut-out" an oscillation of the wave function, get the derivative (with respect of time of course) of the voltage and see on which point inside the interval of the oscillation this derivative is equal to 0, the value for "V" on that "t" value would be the amplitude (you can do something similar too for the other functions of the system, like magnetic flux, except, I believe, for the current, because the inductor seems to oppose the change of current).
 
Last edited:

Similar threads

Undergrad Which law defines the AC inducing voltage in the inductor?
  • · Replies 25 ·
Replies
25
Views
3K
Undergrad Faraday's Law Equation: Derivative vs Delta
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad What is the relationship between voltage and flux in Faraday's Law?
  • · Replies 78 ·
3
Replies
78
Views
8K
Undergrad B-Fields: Deriving Faraday's Law & Why No Work?
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Reason for Opposite Signs for Terms in Faraday's Law and Ampere's Law
  • · Replies 15 ·
Replies
15
Views
2K
Undergrad Why is there no negative sign in the Faraday's Law stated here
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Maxwell Equations without Faraday's Law
  • · Replies 13 ·
Replies
13
Views
2K
Undergrad Faraday's Law and the distance from another wire
  • · Replies 4 ·
Replies
4
Views
2K
Graduate An Interesting Question on Faraday's Law of Electromagnetic Induction
  • · Replies 11 ·
Replies
11
Views
3K
Undergrad Ampere-Maxwell law seems to contradict causality?
  • · Replies 3 ·
Replies
3
Views
959