Question

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?**

Answer #1

i_{1} = current in the wire lying at the origin = ?

i_{2} = current in the wire at y = 0.310 m ,
= 25.5 A

r = distance between the two wires = 0.310 m

F = force per unit length between the wire = 300 x
10^{-6} N/m

force per unit length between two current carrying wires is given as

F = (/4)
(2 i_{1} i_{2}/r)

300 x 10^{-6} = (10^{-7}) (2 i_{1}
(25.5)/0.310)

i_{1} = 18.24 A

let the magnetic field is zero at distance "d" from the wire at origin

for the magnetic field to be zero

magnetic field by wire at origin = magnetic field by wire at y = 0.310

(/4)
(2 i_{1}/d) = (/4)
(2 i_{2}/(r - d))

((18.24)/d) = ((25.5)/(0.310 - d))

d = 0.13 m

Three long wires are all parallel to each other and are all in
the xy plane. Wire 1 runs along the y axis and
carries a current of 1.66 A in the +y direction. Wire 2
runs along the
x = 25.0 cm
line and carries a current of 4.00 A in the ?y
direction.
(a) Determine the location of wire 3 on the x axis so
that when it carries a certain current (to be determined later)
each wire...

Three long wires are all parallel to each other and are all in
the xy plane. Wire 1 runs along the y axis and carries a current of
1.68 A in the +y direction. Wire 2 runs along the x = 25.0 cm line
and carries a current of 4.06 A in the −y direction.
(a) Determine the location of wire 3 on the x axis so that when
it carries a certain current (to be determined later) each wire...

. A long wire lies along the
x
-axis and carries a current in the positive
x
-direction with magnitude
I
x
= 90 A. A second long wire lies along the
y
-axis and carries a current in the positive
y
-direction with
magnitude
I
y
= 45 A. A third wire lies along the
z
-axis and carries a current in the positive
z
-direction
with magnitude
I
z
= 50 A. Determine the magnitude of the net...

A long wire carrying a 4.0 A current perpendicular to the
xy-plane intersects the x-axis at x=−2.2cm. A second, parallel wire
carrying a 2.8 A current intersects the x-axis at x=+2.2cm
A) At what point on the x-axis is the magnetic field
zero if the two currents are in the same direction?
B) At what point on the x-axis is the magnetic field
zero if the two currents are in opposite directions?

A long wire carrying a 5.0 A current perpendicular to the
xy-plane intersects the x-axis at
x=−2.0cm . A second, parallel wire carrying a 3.5 A
current intersects the x-axis at x=+2.0cm
At what point on the x-axis is the magnetic field zero
if the two currents are in the same direction?
At what point on the x-axis is the magnetic field zero
if the two currents are in opposite directions?

A long wire carrying a 5.0 A current perpendicular to the
xy-plane intersects the x-axis at x=−2.0cm. A second, parallel wire
carrying a 2.0 A current intersects the x-axis at x=+2.0cm.
A) At what point on the x-axis is the magnetic field zero if the
two currents are in the same direction?
B) At what point on the x-axis is the magnetic field zero if the
two currents are in opposite directions?

A long wire carrying a 4.5 A current perpendicular to the
xy-plane intersects the x-axis at x=−2.0cm. A second, parallel wire
carrying a 3.0 A current intersects the x-axis at x=+2.0cm.
At what point on the x-axis is the magnetic field zero
if the two currents are in the same direction?
At what point on the x-axis is the magnetic field zero
if the two currents are in opposite directions?

Two long, straight, current carrying wires are situated in a
traditional x-y-z coordinate system, where distances are in meters.
Wire 1 lies along the z-axis and carries a current in the positive
z-direction of ?1 = 4.00 ?. Wire 2 is parallel to wire 1, passing
through the point (3, 3, 0), and carrying a current in the negative
z-direction of ?2 = 3.00 ?. Determine the magnetic field at the
point (2, 1, 0) in unit-vector notation.

Two long straight wires carry currents perpendicular to the
xy plane. One carries a current of 45 A and passes through
the point x = 5.5 cm on the x axis. The second
wire has a current of 80 A and passes through the point y
= 4.3 cm on the y axis. What is the magnitude of the
resulting magnetic field at the origin?

A circular loop of wire with radius of 1.0 m lies in the xy
plane. A uniform 1.0 T external magnetic field is directed along
the z axis. The wire is a conductor, and carries current of 1.0
Amperes. What is the tension (or compression) in the wire due to
the external field?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 2 minutes ago

asked 5 minutes ago

asked 26 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago