Electromagnetic Induction and Waves

In summary, the figure shows a 10-cm-diameter loop in three different magnetic fields, with a resistance of 0.10 ohm. For case (a), the induced emf can be calculated using the equation ε = |ΔΦ/Δt|. The direction of the current can be determined by using the equation ε = N * |ΔΦpercoil /Δt|. The rate of change for the leftmost case is given as half a tesla per second, and if the time interval is 1 second, then the change in magnetic field will be +0.5 T.
  • #1
jlmessick88
32
0

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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  • #2
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?
 
  • #3
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??!?
 
  • #4
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?
 
  • #5
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
 
  • #6
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.
 
  • #7
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??
 
  • #8
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

 

FAQ: Electromagnetic Induction and Waves

What is electromagnetic induction?

Electromagnetic induction is the process by which a changing magnetic field creates an electric current in a conductor. This phenomenon was first discovered by Michael Faraday in the 19th century.

How does electromagnetic induction work?

Electromagnetic induction works through the interaction between a magnetic field and a conductor. When a magnetic field changes, it creates a force on the electrons in the conductor, causing them to move and generate an electric current.

What are some practical applications of electromagnetic induction?

Electromagnetic induction has numerous practical applications, including generators, transformers, and induction cooktops. It is also used in wireless charging, electric motors, and power transmission.

What are electromagnetic waves?

Electromagnetic waves are a type of energy that travels through space in the form of oscillating electric and magnetic fields. They are produced by the acceleration of electric charges and can travel through a vacuum.

What is the relationship between electromagnetic waves and electromagnetic induction?

Electromagnetic waves and electromagnetic induction are closely related. Electromagnetic waves are produced by the acceleration of electric charges, which is also the basis of electromagnetic induction. In other words, electromagnetic waves can induce an electric current in a conductor, and the movement of electrons in a conductor can create electromagnetic waves.

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