-16 points MI4 17.0.012 My N Conventional current flows in a ring in the directi
ID: 1581791 • Letter: #
Question
-16 points MI4 17.0.012 My N Conventional current flows in a ring in the direction indicated in the diagram (if you stand at location A, on the +x axis, and look toward the ring, current flows clockwise). At each of the locations labeled by a letter, use the right hand rule to find the direction of the magnetic field at that location, due to the current in the ring. Location A E-Select-. | Location B Select- Location C-Select Location D Select Location E E-Select- Location F-Select ] Additional Materials section 171Explanation / Answer
Location A -x
Location B +x
Location C -x
Location D +x
Location E +x
Location F +x
Imagine the red ring is a hoop of wire and you grab hold of it using your right hand. The hoop is a lot bigger in diameter than your hand, so you are holding it at one point around the circumference. your thumb is pointing the same direction as the current. Your fingers are wrapped around the bit in your hand. The direction your fingers are pointing around the wire is the direction of the magnetic field.
Inside the the hoop, your fingers are pointing generally from A towards C. That is, in the -X direction. All along the X axis, the magnetic field is pointing in the -X direction.
In the y-z plane, everywhere inside the hoop, the field is in the -X direction.
But if you think of wrapping your fingers farther around the wire, then on the outside of the hoop, they are pointing in the +x direction. Everywhere in the y-z plane outside the hoop, the field in in the +X direction because that's the way your fingers are pointing.
Maybe you could imagine little rings going around the wire in the direction your fingers are pointing. That's sort of what the magnetic field lines look like.
OR
Starting at point E, all you have to do is apply the rule at the elemental current that intersects the z axis. So, when you point your thumb in the direction of the current, the fingers cross along the direction of the magnetic field. So, the field at point E is in the +x direction. The right hand thumb rule is the geomertical interpretation of the Biot Savart Law. Now for the field at point C, there is no intersection of the elemental current with the negative x axis. But, there is a field inside the ring, which is always pointing in the negative x direction. So the field at C is in the negative x direction. And so is at A. Applying the rule to the elemental current that is just on top of the ring, we get that the direction of field at the point B is along the positive x direction. At point F, D and A, the field is also the positive x direction.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.