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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![**Educational Content on Solenoids and Electromagnetism**
**Problem Statement:**
(a) A physicist is constructing a solenoid. She has a roll of insulated copper wire and a power supply. She winds a single layer of the wire on a tube with a diameter of \(d_{\text{solenoid}} = 10.0 \, \text{cm}\). The resulting solenoid is \(\ell = 85.0 \, \text{cm}\) long, and the wire has a diameter of \(d_{\text{wire}} = 0.100 \, \text{cm}\). Assume the insulation is very thin, and adjacent turns of the wire are in contact. What power (in W) must be delivered to the solenoid if it is to produce a field of \(9.40 \, \text{mT}\) at its center? (The resistivity of copper is \(1.70 \times 10^{-8} \, \Omega \cdot \text{m}\).)
[Input box for answer: ___ W]
**What If?** Assume the maximum current the copper wire can safely carry is \(24.0 \, \text{A}\).
(b) What is the maximum magnetic field (in T) in the solenoid? (Enter the magnitude.)
[Input box for answer: ___ T]
(c) What is the maximum power (in W) delivered to the solenoid?
[Input box for answer: ___ W]
---
**Explanation of Concepts:**
- **Solenoid Construction:** A solenoid is a coil of wire designed to create a magnetic field when an electric current passes through it.
- **Magnetic Field of a Solenoid:** The strength of the magnetic field at the center of a solenoid depends on the number of turns of the wire and the current flowing through the wire.
- **Power and Resistivity:** Power required for a solenoid can be calculated using the resistivity of the wire and the desired magnetic field strength.
- **Safety Limits on Current:** The wire has a maximum current it can safely carry without overheating, affecting both the magnetic field strength and power requirements.
Students studying electromagnetism will learn to calculate the power needed for specific magnetic field strengths and understand the limitations imposed by the physical properties of conductive materials like copper.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F31330aa5-a64b-4d2f-80e6-6ea74abb2a34%2Fef85cb01-416d-408a-bb7c-f053b8e6b523%2F9it8rlj_processed.png&w=3840&q=75)
Transcribed Image Text:**Educational Content on Solenoids and Electromagnetism**
**Problem Statement:**
(a) A physicist is constructing a solenoid. She has a roll of insulated copper wire and a power supply. She winds a single layer of the wire on a tube with a diameter of \(d_{\text{solenoid}} = 10.0 \, \text{cm}\). The resulting solenoid is \(\ell = 85.0 \, \text{cm}\) long, and the wire has a diameter of \(d_{\text{wire}} = 0.100 \, \text{cm}\). Assume the insulation is very thin, and adjacent turns of the wire are in contact. What power (in W) must be delivered to the solenoid if it is to produce a field of \(9.40 \, \text{mT}\) at its center? (The resistivity of copper is \(1.70 \times 10^{-8} \, \Omega \cdot \text{m}\).)
[Input box for answer: ___ W]
**What If?** Assume the maximum current the copper wire can safely carry is \(24.0 \, \text{A}\).
(b) What is the maximum magnetic field (in T) in the solenoid? (Enter the magnitude.)
[Input box for answer: ___ T]
(c) What is the maximum power (in W) delivered to the solenoid?
[Input box for answer: ___ W]
---
**Explanation of Concepts:**
- **Solenoid Construction:** A solenoid is a coil of wire designed to create a magnetic field when an electric current passes through it.
- **Magnetic Field of a Solenoid:** The strength of the magnetic field at the center of a solenoid depends on the number of turns of the wire and the current flowing through the wire.
- **Power and Resistivity:** Power required for a solenoid can be calculated using the resistivity of the wire and the desired magnetic field strength.
- **Safety Limits on Current:** The wire has a maximum current it can safely carry without overheating, affecting both the magnetic field strength and power requirements.
Students studying electromagnetism will learn to calculate the power needed for specific magnetic field strengths and understand the limitations imposed by the physical properties of conductive materials like copper.
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