1. A solenoid is 40 cm long, has a diameter of 3 cm, and is wound with 420 turns. If the current through the windings is 5 A. The magnetic field on the axis of a finite solenoid is given by HONI B= of turns in the solenoid of length L and I is the current through the solenoid. Note that 8, is negative. -(sin(0₂) -sin(0₁)), where ₁ and ₂ is shown in the figures below. Here, N is the total number 2L The goal of this question is to see how the magnetic field in a finite solenoid at different points compares to an infinite solenoid. Enter all answers to 4 significant figures. Using this formula, what is the magnetic field at a point on the axis of the solenoid that is (a) at the center of the solenoid,

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Chapter19: Magnetism
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1. A solenoid is 40 cm long, has a diameter of 3 cm, and is wound with 420 turns. If the current through
the windings is 5 A.
The magnetic field on the axis of a finite solenoid is given by
HONI
B=
2L
-(sin(0₂) - sin(0₁)), where ₁ and ₂ is shown in the figures below. Here, N is the total number
of turns in the solenoid of length L and I is the current through the solenoid. Note that 8, is
negative.
The goal of this question is to see how the magnetic field in a finite solenoid at different points
compares to an infinite solenoid.
Enter all answers to 4 significant figures.
Using this formula, what is the magnetic field at a point on the axis of the solenoid that is
(a) at the center of the solenoid,
B =
✔T
1.5 cm
x
20 cm
| FL
x
0₂
0₁
40 cm
x
(a)
Transcribed Image Text:1. A solenoid is 40 cm long, has a diameter of 3 cm, and is wound with 420 turns. If the current through the windings is 5 A. The magnetic field on the axis of a finite solenoid is given by HONI B= 2L -(sin(0₂) - sin(0₁)), where ₁ and ₂ is shown in the figures below. Here, N is the total number of turns in the solenoid of length L and I is the current through the solenoid. Note that 8, is negative. The goal of this question is to see how the magnetic field in a finite solenoid at different points compares to an infinite solenoid. Enter all answers to 4 significant figures. Using this formula, what is the magnetic field at a point on the axis of the solenoid that is (a) at the center of the solenoid, B = ✔T 1.5 cm x 20 cm | FL x 0₂ 0₁ 40 cm x (a)
(b) 10 cm from one end of the solenoid, and
✔T
(c) 5 cm from one end of the solenoid?
B=
B =
B-=
T
1.5 cm
H
0₂
0₁
1.5 cm
0₁
(b)
✔T
(d) Compare these answers with the infinite-solenoid case.
(c)
T
10 cm
+
40 cm
5.0 cm
40 cm
Transcribed Image Text:(b) 10 cm from one end of the solenoid, and ✔T (c) 5 cm from one end of the solenoid? B= B = B-= T 1.5 cm H 0₂ 0₁ 1.5 cm 0₁ (b) ✔T (d) Compare these answers with the infinite-solenoid case. (c) T 10 cm + 40 cm 5.0 cm 40 cm
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all the answers you gave me are correct. thanks I just need d

(b) 10 cm from one end of the solenoid, and
✔T
(c) 5 cm from one end of the solenoid?
B=
B =
B-=
T
1.5 cm
H
0₂
0₁
1.5 cm
0₁
(b)
✔T
(d) Compare these answers with the infinite-solenoid case.
(c)
T
10 cm
+
40 cm
5.0 cm
40 cm
Transcribed Image Text:(b) 10 cm from one end of the solenoid, and ✔T (c) 5 cm from one end of the solenoid? B= B = B-= T 1.5 cm H 0₂ 0₁ 1.5 cm 0₁ (b) ✔T (d) Compare these answers with the infinite-solenoid case. (c) T 10 cm + 40 cm 5.0 cm 40 cm
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