Question

Parallel wires exert magnetic forces on each other. What about perpendicular wires? Imagine two wires oriented perpendicular to each other and almost touching. Each wire carries a current. Is there a force between the wires? Explain what happens in this situation.

Answer #1

Suppose one wire is along the Y axis and the other is along the X axis

The magnetic field acting on the wire segment on the negative x axis is in opposite direction to the magnetic field acting on the wire segment on the positive x axis.

Hence the force on the wire that is on the negative x axis due to the perpendicular wire will cancel out the force on the segment on the wire that is on the positive x axis.

Hence the net force between 2 perpendicular wires will be zero.

Two long wires are oriented perpendicular to each other. At
their closest , they are d=10.0 cm apart. First wire carries
current I1=12.0 A; second wire carries current I2=8.0 A. What is
the net magnetic field at the point midway between them? Give
answer in G.

Two long wires are oriented perpendicular to each other. At
their closest , they are d=13.6 cm apart. First wire carries
current I1=10.2 A; second wire carries current I2=10.5 A. What is
the net magnetic field at the point midway between them? Give
answer in G.

Two wires are oriented perpendicular to each other as shown in
the figure. Wire 1 carries a current of 7.5 A upward, and Wire 2
carries a current of 1.5 A to the right. What is the magnitude and
direction of the net magnetic field at point P, if
r1 = r2 = 30 cm?

Magnetic Field due to a Current
Show that two straight wires running parallel to each other,
each carrying the same current I, exert forces on each
other.
(a) Draw a diagram showing how this force arises
(b) Find the force, and distinguish the two cases (i)
currents parallel, and (ii) currents antiparallel.
(c) What is the force per unit length if I = 1
A, and the wires are 1 cm apart?

Two long, parallel, current-carrying wires lie in an
xy-plane. The first wire lies on the line y =
0.310 m and carries a current of 25.5 A in the +x
direction. The second wire lies along the x-axis. The
wires exert attractive forces on each other, and the force per unit
length on each wire is 300 µN/m. What is the
y-value (in m) of the line in the xy-plane where
the total magnetic field is zero?

Two long, straight, parallel wires carry current. The first wire
carries I1 = 3 A to the right and the second carries I2 = 5 A to
the left. The force per length each wire exerts on the other is of
magnitude 5 × 10−6 N/m.
(a) Sketch the situation. On your sketch indicate the directions
of the magnetic fields produced by each wire and the direction of
the force exerted on each wire. Determine the distance between the
wires....

Two long wires are aligned parallel to each other and separated
by 20.0 cm. One wire carries a current, I1 and
the other carries a current I2 in the opposite
direction, where for the current magnitudes, I2
= 3 I1. The magnitude of the magnetic field at
a point midway between the wires is4.0 μT. Determine
I2.

Two long wires are aligned parallel to each other and separated
by 20.0 cm. One wire carries a current, I1and
the other carries a current I2 in the opposite
direction, where for the current magnitudes, I2
= 3 I1. The magnitude of the magnetic field at
a point midway between the wires is 4.0 μT. Determine
I2.

Two long wires perpendicular to each other carry currents. One
wire carries a current of 6.5A in the positive ? direction and
other wire curries 10.4A current in the negative ? direction. Find
the magnitude of the net magnetic field these wire produced at
point A(4.0c?, −6. ???) and point B(-6m, 4??) .

If two wires carry current next to each other, they will exert a
force on each other. The force is caused by magnetic fields. One
current creates a magnetic field, and this field exerts a force on
the other current. The magnitude of the field created by a long,
straight current-carrying wire is given by Equation 1 below;
B= (μ0i)/(2πr)
where i is the current and r is the distance from the wire. The
magnitude of the force exerted on...

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