AimThe purpose of this experiment was to examine the magnetic field produced by one segment of awire that carries current at all points in another wire to determine its relation with it. We provedthat a magnetic field is directly proportional to the current flowing in a wired.TheoryA wire carrying a current will produce a magnetic field around it, represented by B. Themagnetic field produces a dis
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Aim
The purpose of this experiment was to examine the magnetic field produced by one segment of a
wire that carries current at all points in another wire to determine its relation with it. We proved
that a magnetic field is directly proportional to the current flowing in a wired.
Theory
A wire carrying a current will produce a magnetic field around it, represented by B. The
magnetic field produces a distance r from a segment of a wire with length l, which points in the
same direction as the current. Said current is calculated using the equation dB=
μ0
4 π
Idl x r
r
2 ,
where r is the unit vector pointing from the the wire to the field point and μ0 is the vacuum
permeability (constant). μ0 is always defined so that
μ0
4 π
from the equation equals to 10-7.
Two wires that carry current and are close in distance experience forces caused by their
magnetic fields. The force dF experienced by B is given by dF = IdlXB, in the case that a wire
element dl with current I is in a magnetic field. The total force on the wire can be found by
integrating this equation. The equation F=
2 μ0
4 π
I
A IB L
D
represents the magnitude of the force
F between a length L of two thin infinitely long parallel wires and separated by distance D,
where IA is the current of one wire, and IB is the current of the other. If the currents of both wires
are in the same direction, the wires will experience attractive forces. Currents in opposite
direction will cause the wired to experience repulsive forces.
Procedures
No deviation from lab manual.
Data/Calculations
Table 6.1: 1 ruler thickness, a = 1.0 mm
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