Electromagnetic Induction and Waves

AI Thread Summary
The discussion revolves around calculating the induced electromotive force (emf) and current in a 10-cm-diameter loop with a resistance of 0.10 ohms, subjected to different magnetic fields. Participants clarify the use of the equation ε = |ΔΦ/Δt|, emphasizing the need to identify the magnetic flux (Φ) to compute the induced emf. The concept of magnetic flux is explained, noting that it can be calculated using Φ = ABcos(θ), where A is the area and B is the magnetic field strength. The rate of change of the magnetic field is provided as 0.5 T/s, allowing for further calculations. Understanding the relationship between magnetic fields and induced currents is crucial for solving the problem effectively.
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Homework Statement


The figure shows a 10-cm-diameter loop in three different magnetic fields. The loop's resistance is 0.10 ohm.

http://i63.photobucket.com/albums/h148/jlmessick88/jfk_Figure_P25_12.jpg

For case (a), what is the induced emf?
ε = mV

For case (a), what is the induced current?
I = mA

For case (a), what is the direction of the current?
clockwise
counterclockwise
no current

Homework Equations



ε = |ΔΦ/Δt|
Εcoil = N * |ΔΦpercoil /Δt|


The Attempt at a Solution


No idea :(
Any...ANY help would be great!
Thanks!
 
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You've given an equation for the induced emf in terms of the change of "Phi" with time. What physical quantity is Phi? Based on the answer to that question, how would you compute it?
 
that's where i was getting confused...i wasn't sure if there was some way i could solve for "phi" given the info...
if that's not the correct equation then where do i begin??!?
 
I didn't say it wasn't the correct equation.

There is a way for you to solve for Φ using the given information. If you knew what Φ was, then you would have known that. So, answer my first question first please. What is Φ?
 
well i couldn't used the equation Φ= ABcos() b/c i don't have a magnetic field...
i couldn't use ε = |ΔΦ/Δt| b/c even if i made it become ε = pi * r^2 |ΔB/Δt| b/c i still don't have a magnetic field
 
What you mean you don't have a magnetic field? A magnetic field is depicted in each of the three diagrams, and its rate of change is given.
 
oh! ok...so ...for the change in magnetic field and time, i would just create the change over some period of time determined by myself correct??
 
Not really necessary. The rate of change for the leftmost case is given as half a tesla per second

So you know that if the time interval (change in elapsed time) is 1 s, then the change in magnetic field will be +0.5 T.

Can you see that this is a way of saying (in words) that:

ΔB = 0.5 T

Δt = 1 s

 

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