Ampere's Law and straight wires

AI Thread Summary
The discussion focuses on calculating the magnetic field at specific points on the y-axis due to two parallel wires carrying currents in the same direction. The formula used involves Ampere's Law, specifically B = (μ₀I)/(2πr), where r is the distance from the wire to the point of interest. The user initially miscalculated the magnetic field at y = -3.7 cm, arriving at an incorrect value of approximately -0.12602 T. After receiving feedback, the user identified their error and expressed gratitude for the assistance. The conversation emphasizes the importance of accurate calculations in applying Ampere's Law to determine magnetic fields.
krtica
Messages
50
Reaction score
0
The figure below shows two long, straight wires in the xy plane and parallel to the x axis. One wire is at y = −6.0 cm and the other wire is at y = +6.0 cm. The current in each wire is 19 A. If the currents are both in the −x direction, find the magnetic field at the following points on the y axis.

http://www.webassign.net/tipler6/27-p-025.gif

(a) y = −3.7 cm

BL=(mu_o)I
B=[(mu_o)I]/2pi*r

-{(mu_o)I/2pi(distance-point)}+{(mu_o)I/2pi(distance+point)}, so the answer should be negative

My answer is somewhere around -.12602 T, which is wrong. Please help!
 
Physics news on Phys.org
Show your calculations.
 
I found my error. Thank you for replying.
 

Thread 'Rolling without slipping on a curved surface'

Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
View full post »

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'A bead-mass oscillatory system problem'

Thread 'A bead-mass oscillatory system problem'

I can't figure out how to find the velocity of the particle at 37 degrees. Basically the bead moves with velocity towards right let's call it v1. The particle moves with some velocity v2. In frame of the bead, the particle is performing circular motion. So v of particle wrt bead would be perpendicular to the string. But how would I find the velocity of particle in ground frame? I tried using vectors to figure it out and the angle is coming out to be extremely long. One equation is by work...
View full post »

Similar threads

Magnetic field due to a long, straight wire
Replies
3
Views
1K
Correct usage of Ampère's law for calculating B-field outside parallel wires?
Replies
4
Views
1K
Magnetic field at origin due to infinite wires and semicircular turn
Replies
3
Views
2K
Problem involving Ampere's Law and Understanding
Replies
4
Views
3K
Question on magnetic fields from wire
Replies
4
Views
2K
Magnetic field due to infinite current carrying wire in the X and Y axes
Replies
11
Views
3K
Finding magnetic field using Ampere's Circuital Law
Replies
5
Views
999
What Are the Limitations of Gauss's Law When Analyzing a Line Charge in Air?
Replies
4
Views
2K
Thin wire alternating exerts force on a nearby charge
Replies
5
Views
2K
Ampere's Law - Showing that B at center is due only to wire
Replies
1
Views
4K

Hot Threads

Recent Insights

Back
Top