B(z) P(out)/ i (B) (A) Figure 3: 7. A circular loop of N turns and radius a in the xy plane carries a steady current I,[ see Figure 3] (a) Show that the magnetic field at a point P on the axis of the loop, at a distance z from the center is: NHola? B = k 2r3 = kB(2) %3D (b) The force on a magnetic dipole ji in presence of a magnetic field is given by F = V(ji · B). Show that if ji = uk is located at z then the force on the dipole is attractive and is given by f = -k 3uB(2) (c) Let i = µ (- sin øi + cos øj) at z. Show that the torque on the needle is [ see Figure 3] NuuoIa? 2r3 p = cos oi + sin øî
B(z) P(out)/ i (B) (A) Figure 3: 7. A circular loop of N turns and radius a in the xy plane carries a steady current I,[ see Figure 3] (a) Show that the magnetic field at a point P on the axis of the loop, at a distance z from the center is: NHola? B = k 2r3 = kB(2) %3D (b) The force on a magnetic dipole ji in presence of a magnetic field is given by F = V(ji · B). Show that if ji = uk is located at z then the force on the dipole is attractive and is given by f = -k 3uB(2) (c) Let i = µ (- sin øi + cos øj) at z. Show that the torque on the needle is [ see Figure 3] NuuoIa? 2r3 p = cos oi + sin øî
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Question
![B(z)
N
P(out)/ i
(B)
(A)
Figure 3:
7. A circular loop of N turns and radius a in the xy plane carries a steady current I,[ see Figure 3]
(a) Show that the magnetic field at a point P on the axis of the loop, at a distance z from the center is:
NHola?
2r3
= kB(2)
(b) The force on a magnetic dipole i in presence of a magnetic field is given by F = 7(ï·B). Show that if i= µk
is located at z then the force on the dipole is attractive and is given by
F = -k 3uB(2)
(c) Let i = µ (– sin øi + cos øj) at z. Show that the torque on the needle is [ see Figure 3]
, Νμμο Ια?
2r3
p = cos oi + sin oj](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6008397d-90c1-49ce-a918-59406f2b5a7b%2F76dac05e-6c9c-464c-a5b8-f93bd16df164%2Fxym7e0k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:B(z)
N
P(out)/ i
(B)
(A)
Figure 3:
7. A circular loop of N turns and radius a in the xy plane carries a steady current I,[ see Figure 3]
(a) Show that the magnetic field at a point P on the axis of the loop, at a distance z from the center is:
NHola?
2r3
= kB(2)
(b) The force on a magnetic dipole i in presence of a magnetic field is given by F = 7(ï·B). Show that if i= µk
is located at z then the force on the dipole is attractive and is given by
F = -k 3uB(2)
(c) Let i = µ (– sin øi + cos øj) at z. Show that the torque on the needle is [ see Figure 3]
, Νμμο Ια?
2r3
p = cos oi + sin oj
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