Biot-Savart Law: Find formula for B at general pt (x, y, z)

AI Thread Summary
The discussion revolves around applying the Biot-Savart Law to find the magnetic field B at a general point (x, y, z). Participants are seeking clarification on how to start the problem, specifically how to express the necessary vectors in terms of x, y, and z. The first part of the problem requires evaluating B by calculating the cross product of the unit vector in the k direction with the position vector r. The second part focuses on determining the conditions under which the cross product of the unit vectors will be maximized. Understanding these concepts is crucial for solving the problem effectively.
plexus0208
Messages
49
Reaction score
0

Homework Statement


See attachment for Problem Statement.
Biot-Savart Vector Problem.JPG


Homework Equations



The Attempt at a Solution


Can anyone help me start this problem, or clarify what is being asked? I have no idea where to begin.
 
Physics news on Phys.org
plexus0208 said:

Homework Statement


See attachment for Problem Statement.
View attachment 21583

Homework Equations



The Attempt at a Solution


Can anyone help me start this problem, or clarify what is being asked? I have no idea where to begin.
The first part is simply asking you to evaluate B in terms of x,y,z. This involves expressing \hat{k} \times \vec r and r in terms of x, y and z.

In the second part the key is to determine when \hat{k} \times \hat r will be maximum (cross product of the unit vectors in the k direction and the r direction).

AM
 

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 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
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

What is the last step in the derivation of the Biot Savart Law?
Replies
3
Views
4K
Calculating magnetic field outside a solenoid
Replies
15
Views
1K
Magnetic field at origin due to infinite wires and semicircular turn
Replies
3
Views
2K
Question about Biot-Savart Law (B-field)
Replies
21
Views
2K
Biot-Savart's Law for cylindrical conductor
Replies
18
Views
5K
Can the Biot-Savart Law be applied to point P_1 outside a finite wire?
Replies
3
Views
3K
Question on magnetic fields from wire
Replies
4
Views
2K
What is the B-field at the center of a semicircle using the Biot-Savart Law?
Replies
3
Views
4K
Biot-Savart and a Rectangular Loop
Replies
3
Views
3K
How Does Biot-Savart Law Calculate Magnetic Field at Point P?
Replies
7
Views
4K

Hot Threads

Recent Insights

Back
Top