Magnitude of the induced current in the loop

AI Thread Summary
To find the magnitude of the induced current in a rectangular conducting loop near a long straight wire, the magnetic field generated by the wire must be considered, which varies with distance. The magnetic field is given by the equation B = (μ*I)/(2π*d), where d is the distance from the wire to the loop. Since the magnetic field is not constant across the loop, integration is necessary to calculate the total magnetic flux through the loop. The change in magnetic flux over time will allow for the application of Faraday's law of electromagnetic induction to determine the induced current. Understanding these principles is essential for solving the problem effectively.
chinex9a
Messages
2
Reaction score
0

Homework Statement



A rectangular conducting loop of dimensions l×w and resistance R rests in the plane of a long
straight wire as shown. The closest edge of the loop is a distance a from the wire. The current in
the wire is in the upward direction and increases at a constant rate from I to 3I in time Δt.
Find the magnitude of the induced current in the loop.

Homework Equations


Maybe magnetc flux equation ABcos(theta) and magnetic field of a wire = (u*I)/(2*pi*d)

The Attempt at a Solution



Used magnetic field equation (not sure what to use for d) and don't know what to do from there.
 
Physics news on Phys.org
The magnetic field varies with the distance from the wire, so the magnetic field through the loop isn't a constant. That means you can't simply take some value for B and multiply it by the total area of the loop to find the total flux. You're going to have to integrate.
 
But we are trying to find the induced current. How do we come about that?
 
That's a good question. What do you think?
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Induced current and force on circular loop in varying magnetic field
Replies
4
Views
977
Direction and magnitude of electric field produced by current change
Replies
8
Views
991
How Does Induced Current Change with Loop Acceleration Through a Magnetic Field?
Replies
8
Views
1K
Induced Current Direction in a Changing Magnetic Field
Replies
1
Views
2K
How does an eddy current brake work exactly?
Replies
2
Views
2K
What is the net force on the current loop?
Replies
8
Views
2K
Induced EMF in a moving Loop Conductor
Replies
3
Views
2K
Need someone to check my equations and work on this induced EMF problem
Replies
1
Views
1K
Solving for x in Circular Current Equation
Replies
9
Views
2K
Induced current in two connected loops
Replies
5
Views
2K

Hot Threads

Recent Insights

Back
Top