College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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I am needing help on parts (i) and (j) please
![**Problem 9:**
A circular coil comprised of \( N = 130 \) closely wrapped turns of wire and has a radius \( R = 0.45 \, \text{m} \). A counterclockwise current \( I = 2.5 \, \text{A} \) is in the coil. The coil is set in a magnetic field of magnitude \( B = 1.4 \, \text{T} \). The magnetic field points to the right.
**Diagram Explanation:**
The diagram shows a cylindrical coil with a current \( I \). The magnetic field \( \mathbf{B} \) is depicted as a series of horizontal arrows pointing to the right, indicating the direction of the magnetic field lines. The coil is drawn beside these field lines.
**Part (a):** Express the magnetic dipole moment \( \mu \) in terms of the number of turns \( N \), the current \( I \), and radius \( R \).
- \( \mu = N \, I \, \pi R^2 \)
- **Correct**
**Part (b):** Calculate the numerical value of \( \mu \) in SI units.
- \( \mu = 206.7 \) (rounded to match total significant figures from values used)
- **Correct**
**Part (c):** What is the vector direction of \( \mu \)?
- Upward
- **Correct**
**Part (d):** What is the potential energy of the coil in the magnetic field, in terms of the variables provided?
- \( U = 0 \)
- **Correct**
**Part (e):** If the magnetic field was pointing upward, express the potential energy of the coil in the magnetic field, \( U_p \), in terms of \( \mu \) and \( B \).
- \( U_p = -\mu B \)
- **Correct**
**Part (f):** Calculate the numerical value of \( U_p \) in Joules.
- \( U_p = \) [blank for input]
**Part (g):** What’s the torque \( \tau_{\mu} \) now?
- \( \tau_{\mu} = \) [blank for input]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3cff6d5e-6d7b-4ef6-9838-a544f8e2903b%2Ff8b5ed92-5904-452e-9173-2c95bd524d1e%2Fosoflc_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 9:**
A circular coil comprised of \( N = 130 \) closely wrapped turns of wire and has a radius \( R = 0.45 \, \text{m} \). A counterclockwise current \( I = 2.5 \, \text{A} \) is in the coil. The coil is set in a magnetic field of magnitude \( B = 1.4 \, \text{T} \). The magnetic field points to the right.
**Diagram Explanation:**
The diagram shows a cylindrical coil with a current \( I \). The magnetic field \( \mathbf{B} \) is depicted as a series of horizontal arrows pointing to the right, indicating the direction of the magnetic field lines. The coil is drawn beside these field lines.
**Part (a):** Express the magnetic dipole moment \( \mu \) in terms of the number of turns \( N \), the current \( I \), and radius \( R \).
- \( \mu = N \, I \, \pi R^2 \)
- **Correct**
**Part (b):** Calculate the numerical value of \( \mu \) in SI units.
- \( \mu = 206.7 \) (rounded to match total significant figures from values used)
- **Correct**
**Part (c):** What is the vector direction of \( \mu \)?
- Upward
- **Correct**
**Part (d):** What is the potential energy of the coil in the magnetic field, in terms of the variables provided?
- \( U = 0 \)
- **Correct**
**Part (e):** If the magnetic field was pointing upward, express the potential energy of the coil in the magnetic field, \( U_p \), in terms of \( \mu \) and \( B \).
- \( U_p = -\mu B \)
- **Correct**
**Part (f):** Calculate the numerical value of \( U_p \) in Joules.
- \( U_p = \) [blank for input]
**Part (g):** What’s the torque \( \tau_{\mu} \) now?
- \( \tau_{\mu} = \) [blank for input]
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