bz pout b figure a circular loop of n turns and radius in the xy plane carries steady current 1

Name: bz pout b figure a circular loop of n turns and radius in the xy plane carries steady current 1 see figure 3 a show that the magnetic field at point p on the axis of the loop distance from t 67889
Uploaded: 2023-06-15T18:22:36-08:00
Duration: 2 min 20 s
Channel: Numerade
Description: bz pout b figure a circular loop of n turns and radius in the xy plane carries steady current 1 see figure 3 a show that the magnetic field at point p on the axis of the loop distance from t 67889

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Question

B(z) P(out) (B) Figure 3 A circular loop of N turns and radius r in the xy plane carries steady current I. [See Figure 3] (a) Show that the magnetic field at point P on the axis of the loop, at a distance from the center, is given by: B = k * N * I * (2 * r^3) The force on a magnetic dipole ji in the presence of a magnetic field is given by F = V(ji . B). Show that if j = pk is located at , then the force on the dipole is attractive and is given by: F = -k^3 / sqrt(B) (c) Let j = p(sin oi + cos oj) at 2. Show that the torque on the needle is given by [See Figure 3]: T = p * N * I * (2 * r^3) p = cos oi + sin oj

          B(z)
P(out) (B)
Figure 3
A circular loop of N turns and radius r in the xy plane carries steady current I. [See Figure 3]
(a) Show that the magnetic field at point P on the axis of the loop, at a distance from the center, is given by:
B = k * N * I * (2 * r^3)
The force on a magnetic dipole ji in the presence of a magnetic field is given by F = V(ji . B). Show that if j = pk
is located at , then the force on the dipole is attractive and is given by:
F = -k^3 / sqrt(B)
(c) Let j = p(sin oi + cos oj) at 2. Show that the torque on the needle is given by [See Figure 3]:
T = p * N * I * (2 * r^3)
p = cos oi + sin oj

Added by Eduardo M.

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