It is important to realize that magnetic lines do not really exist! They are a tool to visualize the magnetic field, but the field is continuous and does not exist solely inside lines. The direction of the lines gives the direction of the magnetic field, the density of lines, its strength. This also explains why no two field lines can ever intersect; a field line carries information about the direction of the magnetic field, if they would intersect an ambiguity would arise about the direction (not to mention a field of apparent infinite strength since the density would be infinite at the point of crossing). The field lines are almost never used in explicit calculations; instead one uses a vector, an entity which contains information about the magnitude and direction of a field in every point in space and time. Adding two magnetic fields is then easy; just add the vectors of both fields in every point in space (and time). You can use the resulting vector field to draw field lines again if you want. An easy way to imagine what would happen to field lines when they might intersect is to look at them as being such vectors. Imagine you have one field line pointing to the right, and another one pointing up. The result of adding would be a field line pointing somewhere in the up-right direction (the exact direction depending on the relative magnitudes of the fields). If the fields are equal in magnitude but opposite in direction they would cancel; the field line disappears. But this is to be expected! The magnetic fields canceled each other in that point! One has to take care with this analogy however; as for field lines the measure of magnitude is their density; which is an undefined thing if you are considering just one field line per field. For a vector however, the measure of magnitude is its length. Therefore adding two field lines of the same magnitude and pointing in the same direction would result in a vector of twice the length, but in field line language you would have to double the density at that point. This is one of the reasons field lines are used for visualization but not calculation. By the way, all these things apply to other fields as well. Electric fields can also be represented by field lines, and they as well cannot intersect (for the same reasons). Electric field lines, however, are not necessarily closed loops like magnetic field lines (this has to do with the non-existence of magnetic monopoles).
if they are parallel -- no. if not parallel -- yes
No. To be an angle, the ends of each ray must have the same endpoint, therefore, the lines must intersect. Parallel lines have the same slope, so cannot ever intersect.
they never can- parrelell lines can never intersect ---------------------------------------------- ----------------------------------------------
Of course. Any lines in the same plane (if extended far enough) that are not parallel must intersect.
No, parallel lines cannot ever intersect. The have identical slopes. Therefore, they will always remain parallel.
It is important to realize that magnetic lines do not really exist! They are a tool to visualize the magnetic field, but the field is continuous and does not exist solely inside lines. The direction of the lines gives the direction of the magnetic field, the density of lines, its strength. This also explains why no two field lines can ever intersect; a field line carries information about the direction of the magnetic field, if they would intersect an ambiguity would arise about the direction (not to mention a field of apparent infinite strength since the density would be infinite at the point of crossing). The field lines are almost never used in explicit calculations; instead one uses a vector, an entity which contains information about the magnitude and direction of a field in every point in space and time. Adding two magnetic fields is then easy; just add the vectors of both fields in every point in space (and time). You can use the resulting vector field to draw field lines again if you want. An easy way to imagine what would happen to field lines when they might intersect is to look at them as being such vectors. Imagine you have one field line pointing to the right, and another one pointing up. The result of adding would be a field line pointing somewhere in the up-right direction (the exact direction depending on the relative magnitudes of the fields). If the fields are equal in magnitude but opposite in direction they would cancel; the field line disappears. But this is to be expected! The magnetic fields canceled each other in that point! One has to take care with this analogy however; as for field lines the measure of magnitude is their density; which is an undefined thing if you are considering just one field line per field. For a vector however, the measure of magnitude is its length. Therefore adding two field lines of the same magnitude and pointing in the same direction would result in a vector of twice the length, but in field line language you would have to double the density at that point. This is one of the reasons field lines are used for visualization but not calculation. By the way, all these things apply to other fields as well. Electric fields can also be represented by field lines, and they as well cannot intersect (for the same reasons). Electric field lines, however, are not necessarily closed loops like magnetic field lines (this has to do with the non-existence of magnetic monopoles).
Perpendicular lines intersect at a 90 degree angle. Parallel lines do not intersect, nor would they ever intersect if continued infinitely.
No, magnetic field lines do not cross each other at any point. This is a fundamental property of magnetic fields known as the "no crossing rule". If lines were to cross, it would imply the existence of multiple directions for the magnetic field at that point, which is physically impossible.
Have you ever seen a magnet? Did you see the field? There you go. While you can't see the field itself directly, you can see the effects of the field if you use iron filings or something like that; they'll line up with the magnetic field lines
if they are parallel -- no. if not parallel -- yes
Never in Euclidean geometry.
No. To be an angle, the ends of each ray must have the same endpoint, therefore, the lines must intersect. Parallel lines have the same slope, so cannot ever intersect.
Well, you see, parallel lines are lines that do not and will not ever intersect at any length of the line
Yes, the magnetic field of the earth has flipped. The evidence is in fired pottery in historical times.
they never can- parrelell lines can never intersect ---------------------------------------------- ----------------------------------------------
No, lines of latitude (parallels) are always parallel to each other and never intersect. They are all equidistant from each other and used to measure distances north or south from the equator.