Visualize magnetic fields from wires, loops, and solenoids. Plot field lines and magnitude using Biot-Savart law computations.
The Magnetic Field Visualizer turns a current-carrying wire, circular loop, or solenoid into a spatial map of the magnetic field. It evaluates Biot-Savart contributions across the plotted region, then represents field direction with field lines and field strength with a magnitude plot. This helps compare source geometries and check right-hand-rule predictions. A common mistake is treating a field line as a charged particle's path or as a physical strand. It is neither; the curve indicates the local direction of the magnetic field.
For each observation point, the Biot-Savart law assigns a vector contribution from each current element. Those contributions are added as vectors, so components can reinforce or cancel. Straight wires, loops, and solenoid turns consequently produce different patterns even at the same current. Both separation and orientation matter: distance affects strength, while the cross product in the law determines direction.
The field-line plot traces curves tangent to the calculated magnetic-field vector. The magnitude plot represents the vector's size, independent of its direction. These views answer different questions: field lines show how direction changes through space, while magnitude identifies stronger and weaker regions. Line count or spacing should not be read as a numerical field measurement unless the display explicitly defines that relationship.
Not from field lines or field magnitude alone. Magnetic flux requires a specified surface and an integral of the field component normal to that surface. A field map can help anticipate where flux will be positive, negative, or large, but it is not itself a flux value unless the tool separately reports a surface integral.
A finite solenoid has an external return field connecting the regions near its two ends. The familiar statement that the exterior field is zero applies to an ideal infinitely long solenoid, not to every finite coil. The external field can be much weaker than the interior field, so its visibility also depends on the magnitude scale used for the plot.
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