Two wires carry current I1 = 47 A and I2 = 29 A in the opposite directions parallel to the x-axis at y1 = 9 cm and y2 = 15 cm. Where on the y-axis (in cm) is the magnetic field zero?
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Ответ:
Approximately
, assuming that the permeability between the two wires is constant, and that the two wires are of infinite lengths.
Explanation:
Note that
, which means that the first wire (with current
) is underneath the second wire (with current
.) Let
denote the
-coordinate (in
) of a point of interest. The two wires partition this region into three parts:
The region under the first wire, whereApply the right-hand rule to find the direction of the magnetic field in each of the three regions. Assume that
points to the left while
points to the right. Let
and
denote the magnetic field due to
and
, respectively.
In the region below the first wire,The (net) magnetic field on this plane would be zero only in regions where
and
points in opposite directions. That rules out the region between the two wires.
At a distance of
away from a wire with current
and infinite length, the formula for the magnitude of the magnetic field
due to that wire is:
where
is the permeability of the space between the wire and the point of interest (should be constant.) The exact value of
does not affect the answer to this question, as long as it is constant throughout this region.
Note that the value of
in this formula is supposed to be positive. Let
and
denote the distance between the point of interest and the two wires, respectively.
In the region under the first wire,Make sure that given the corresponding range of
, these distances are all positive.
Strength of the magnetic field due to the first wire:For the net magnetic field to be zero at a certain
-value, the strength of the two magnetic fields at that point should match. That is:
Simplify this equation:
These two equations give the same result:
. However, based on the respective assumptions on the value of
, this value corresponds to the region above the second wire.
Ответ:
In the Gizmo warm-up,on STIMULATION, people begin to move around the room, after a while and after a person visits the buffet table, the person is likely to turn green,then overtime,the number of the green people increase.
When a person changes color on stimulation,the person's color change means/indicates that the person has been infected with a disease.
The color green further indicates that the disease the person is infected with is a food-borne disease.