A long wire carrying 100A is perpendicular to the magnetic field lines of a uniform magnetic field of magnitude 5.0 mT. At what distance from the wire is the net magnetic field equal to zero?
Point on the line parallel to the wire at a distance
, the field lines are perpendicular to the wire i=100A.
We can use the equation for the field produced by the long current-carrying wire at a point away from the wire. The distance should be such that the field produced by the wire is exactly the same as the given field.
Magnetic field due to a long straight wire at distance r from the wire carrying current i
Since the long wire is kept in an external magnetic field, the field due to wire (Bw) and external magnetic field (Bext) will cancel out when their magnitudes are the same, and the direction is opposite. So, the set points which will satisfy this condition lie on the line parallel to the wire at distance r.
Hence, the Point on the line parallel to the wire at a distance
Fig. 29-63 shows wire 1 in cross section; the wire is long and straight, carries a current of out of the page, and is at distance from a surface. Wire 2, which is parallel to wire 1 and also long, is at horizontal distance from wire 1 and carries a current of into the page. What is the x component of the magnetic force per unit length on wire 2 due to wire 1?
A student makes a short electromagnet by winding of wire around a wooden cylinder of diameter . The coil is connected to a battery producing a current of in the wire. (a) What is the magnitude of the magnetic dipole moment of this device? (b) At what axial distance d will the magnetic field have the magnitude (approximately one-tenth that of Earth’s magnetic field)?
Figure 29-24 shows three circuits, each consisting of two radial lengths and two concentric circular arcs, one of radius r and the other of radius R>r. The circuits have the same current through them and the same angle between the two radial lengths. Rank the circuits according to the magnitude of the net magnetic field at the center, greatest first
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