Two long thin parallel wires 13.0cmapart carry 35 Acurrents in the same direction….
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Question “Two long thin parallel wires 13.0cmapart carry 35 Acurrents in the same direction….”
Two long thin parallel wires 13.0cmapart carry 35 A
currents in the same direction.Determine the magnetic field vector at a point
10.0 cmfrom one wire and 6.0 cmfrom the other.
13.0 cm 10,0 cm 10.0 cm +
To calculate the magnetic force at point P, use the expression for magnetic field due wire.
refers to the permeability free space. I represents the current through the wire. r indicates the distance between the wire and the point P.
The following illustration shows the magnetic fields generated by the two wires at P.
represents the current produced from the wire 1, while
represents the current produced at the wire 2.
refers to the magnetic force due to wire 1.
refers to the magnetic fields due to wire 2.
describes the angle created by magnetic field
along the line connecting the two wires.
indicates the angle made magnetically by
by the line joining them.
The law of cosines states that the cosine determined by angle created by magnetic field vector 1 is the angle, according to,
shows the distance between wire 2 and point P.
to this equation.
The law of cosines states that the cosine (angle made by magnetic field vector created by wire 2) is the cosine.
signifies the distance between wire 2 and point P.
. Then solve the equation as follows:
The magnetic field due wire 1 is described by
Substitute HTMLmedia_tag_28$ to
; 35 A for #media_tag_30$; and 10 cm for
The magnetic field vector due wire 1 is given below.
The magnetic field caused by wire 2 is calculated by
Substitute HTMLmedia_tag_40$ to
; 35 A for #media_tag_42$; and 6 cm in the above equation for
The magnetic field vector due wire 2 is given below.
The net magnetic field at P is calculated by
The magnitude of the net magnet field is calculated by
refers to the y– part of the magnetic magnetic field.
The magnetic field direction is determined by
Substitute HTMLmedia_tag_68$ to
or HTMLmedia_tag_70$ to
higher than the horizontal.
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