Figure 28-29 shows 11 paths through a region of uniform magnetic field. One path is a straight line; the rest are half-circles. Table 28-4 gives the masses, charges, and speeds of 11 particles that take these paths through the field in the directions shown. Which path in the figure corresponds to which particle in the table? (The direction of the magnetic field can be determined by means of one of the paths, which is unique.)
Particles 1 to 11 corresponds to path i, e, c, a, g, j, d, b, h, f, k respectively.
Corresponding mass, velocity and charge of different particles are given in table.
Using the relation 28-16 for radius find the radius of different particles and analyzing the given diagram find the corresponding paths of different particles.
Formulae are as follow:
Where, r is radius, B is magnetic field, v is velocity, m is mass, q is charge on particle.
Using equation 28-16, find the radius of different paths.
For particle 1
The path i shows the radius r=2. Hence particle 1 shows the path i
For particle 2,
The path e shows the radius r=0.5.
Hence, particle 2 shows the path e.
For particle 3,
The path c shows the radius r=1
Hence, particle 3 shows the path c.
For particle 4,,
The path a shows the radius r=3
Hence, particle 4 shows the path a.
For particle 5
The path g shows the radius r=4
Hence, particle 5 shows the path g.
For particle 6,
The path j shows the radius r=-2
Hence, particle 6 shows the path j.
For particle 7,
The path d shows the radius r=0.25
Hence, particle 7 shows the path d
For particle 8
The path b shows the radius r=-1
Hence, particle 8 shows the path b
For particle 9,
The path h shows the radius r=-3
Hence, particle 9 shows the path h
For particle 10
The path shows the radius r=-4
Hence, particle 10 shows the path f
For particle 11
The path shows the radius r=0
Hence, particle 11 shows the path k.
Hence, particles 1 to 11 corresponds to path i, e, c, a, g, j, d, b, h, f, k respectively.
Figure shows a rectangular 20-turn coil of wire, of dimensions by . It carries a current of and is hinged along one long side. It is mounted in the x-y plane, at angle to the direction of a uniform magnetic field of magnitude . In unit-vector notation, what is the torque acting on the coil about the hinge line?
A circular wire loop of radius 15.0cm carries a current of 2.60 A. It is placed so that the normal to its plane makes an angle of 41.0° with a uniform magnetic field of magnitude 12.0 T. (a) Calculate the magnitude of the magnetic dipole moment of the loop. (b) What is the magnitude of the torque acting on the loop?
94% of StudySmarter users get better grades.Sign up for free