How Does Decreasing Magnetic Field Affect Ammeter Reading in a Circuit?

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Homework Help Overview

The discussion revolves around the effects of a decreasing magnetic field on the reading of an ammeter in a circuit. The problem involves a circuit with a resistor and an ammeter, where the magnetic field is changing at a specified rate. Participants are exploring the relationship between magnetic flux, induced electromotive force (emf), and current in the circuit.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the calculation of magnetic flux and its relationship to the rate of change of the magnetic field. There are attempts to link the given parameters, such as area and voltage, to derive the necessary equations. Questions arise regarding the correct formulas to use and the interpretation of the magnetic field's effect on the circuit.

Discussion Status

Some participants are providing guidance on relevant equations and concepts, such as the relationship between magnetic flux and induced voltage. There is an ongoing exploration of different interpretations and approaches to the problem, with no explicit consensus reached yet.

Contextual Notes

Participants note the importance of the rate of change of the magnetic field and its implications for the induced emf. There is a mention of potential confusion regarding the calculations and the need for clarity on the relationships between the variables involved.

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Homework Statement


-------/\/\/\---------
I X X X 10 Ohm X X XI
I X X X X X X X X X XI
I X X X X X X X X X XAmmeter
I X X X X X X X X X XI
I--------il-----------I
...5V

Length=10cm and width =10cm
R=10 Ohms
V=5 volts
decreasing magnetic field at rate 150T/s (into the page)

What is the reading of the Ammeter?
(Correct Answer:0.35A)

Homework Equations


I=e/R
e=BvL

The Attempt at a Solution


well basically i froze.
all i get is
s=1m (0.1x0.1)
L=40 (10x4)

From there onwards i can not link them. Probably because lacking the correct formula.
Anyway, ill much appreciate some help.
Cheers
 
Last edited:
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Part of your given information, kinda the key part, is a rate of change of a magnetic field. Remember you also have an area you can calculate, what can you find with a magnetic field and an area?

Do you perchance have an equation among your notes and book that features a rate of change?
 
thanks, ill take a look around the notes again
 
still stuck
 
Magnetic flux? -Rate of change of magnetic flux = ?


http://en.wikipedia.org/wiki/Electromagnetic_induction

Stuff like that? Unless I'm badly misinterpreting what the picture is, you've got a current flowing through the ammeter just because of the battery and the resistor, but now you have a changing magnetic field through the loop. A changing magnetic field can induce a voltage, which is what will happen here
 
thanks again!
 
magnetic flux = B.dS
where S is the surface area (0.01m^2).
emf is directly proportional to the rate of change of magnetic flux, so
e= d(magnetic flux) / dt -> those that mean that 150T/s = e ?
(1 T= 1Wb.m^-2)
if so then 150=Bx0.01 which makes B=15000 T
But that can't be right. I am not sure where I am going wrong...
 
by a reversed method i go:
1. I=e/R -> 0.35=e/10 -------hence e=3.5 V
since directly prop then it becomes 3.5 Wb
2. magnetic flux= B.dS ------ 3.5= B.dS where S (surface area) = 0.1x0.1 = 0.01m^2
it comes out B= 3.5/0.01 = 350 T

But how do i do it the right way around rather then back wards :) and what formula do i use to links the initial 5V? Perhaps a formula to derive B using area and voltage (dont think there's such a formula tho)?

Just a little more help please, blochwave you been great!
 

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