Current through each resistor need not be the same, but the potential difference between the terminals of each resistor must be the same, and equal to Vab
The earth's magnetic axis is not quite parallel to its geographic axis (the axis of rotation), so a compass reading deviates somewhat from geographic north
The magnitude of the magnetic force on a moving particle is proportional to the component of the particle's velocity perpendicular to the field. If the particle is at rest, or moving parallel to the field, it experiences zero magnetic force
When a charged particle moves in a magnetic field, it is acted on by the magnetic force, which is always perpendicular to the velocity, so it cannot change the speed of the particle
If the particle has velocity components parallel to and perpendicular to the field, its path is a helix, but the speed and kinetic energy of the particle remains constant
Computer cables or cables for audio-video equipment create little or no magnetic field because the opposing currents in the closely spaced wires cancel each other's magnetic fields
The magnetic field of the lower wire exerts an attractive force on the upper wire. If the wires had currents in opposite directions, they would repel each other
If the integral around the closed path is zero, it does not necessarily mean that the magnetic field is everywhere along the path, only that the total current through an area bounded by the path is zero