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The magnetic field produced by a current-carrying wire at a given point depends on which of the following factors?
Neither distance from the wire nor current through the wire
Current flowing through the wire Only
Distance from the wire Only
Both distance from the wire and current through the wire
Both distance from the wire and current through the wire
The magnetic field produced by a long straight current-carrying wire at a given point depends directly on the magnitude of the electric current flowing through the wire and inversely on the perpendicular distance from the wire to that point.
The magnetic field produced by a long straight current-carrying wire at a given point depends directly on the magnitude of the electric current flowing through the wire and inversely on the perpendicular distance from the wire to that point.
Think of current like water pressure and distance like standing away from a running hose: the stronger the water current (or electrical current), the stronger the splash, and the further away you stand, the weaker the felt effect.
B is directly proportional to I, and inversely to r (BIR: B equals I over r).
B=2╧Аr╬╝0тАЛIтАЛ тАФ Magnetic field due to an infinite straight wire
╬╝0тАЛ=4╧А├Ч10тИТ7┬аTтЛЕm/A тАФ Permeability of free space
According to the Biot-Savart Law or Ampere's Circuital Law, the magnetic field (B) at a perpendicular distance (r) from an infinitely long straight wire carrying current (I) is given by the relation B=2╧Аr╬╝0тАЛIтАЛ. This shows that B increases proportionally when the current I increases, and decreases inversely as the distance r from the wire increases.
The magnetic field lines around a straight current-carrying conductor are concentric circles centered on the wire.
The direction of the magnetic field is given by Maxwell's Right-Hand Thumb Rule.
Increasing the current increases the magnetic field strength.
Increasing the distance from the wire decreases the magnetic field strength.
Electromagnets and solenoid design
Power transmission line safety calculations
Magnetic shielding in electronic devices
The SI unit of magnetic field is Tesla (T).
Option D is correct because the magnetic field relies on both current (I) and distance (r).
D is correct тАФ Both distance from the wire and current through the wire determine the magnetic field produced.
Always remember that field strength is directly proportional to current (BтИЭI) and inversely proportional to distance (BтИЭr1тАЛ) for straight conductors.