The Earth's magnetic field, with a magnetic dipole moment of \(8.0 \times 10^{22} \, \text{A m}^2\), is generated by currents within the molten iron of the Earth's outer core. Suppose we model the core current as a 3000-km-diameter current loop made from a 1000-km-diameter "wire." The loop diameter is measured from the centers of this very fat wire. **Part B** **Question:** What is the current density \(J\) in the current loop? **Instructions:** Express your answer to two significant figures and include the appropriate units. **Input Box Placeholder:** \(J = \text{Value} \quad \text{Units}\) [Submit Button] [Request Answer Button] **Part C** **Question:** To decide whether this is a large or a small current density, find the ratio of the current density \(J\) in the current loop to the current density of a 3.0 A current in a 1.0-mm-diameter wire. **Instructions:** Express your answer using two significant figures. **Input Box Placeholder:** \(\frac{J_{\text{loop}}}{J_{\text{wire}}} =\) [Submit Button]
The Earth's magnetic field, with a magnetic dipole moment of \(8.0 \times 10^{22} \, \text{A m}^2\), is generated by currents within the molten iron of the Earth's outer core. Suppose we model the core current as a 3000-km-diameter current loop made from a 1000-km-diameter "wire." The loop diameter is measured from the centers of this very fat wire. **Part B** **Question:** What is the current density \(J\) in the current loop? **Instructions:** Express your answer to two significant figures and include the appropriate units. **Input Box Placeholder:** \(J = \text{Value} \quad \text{Units}\) [Submit Button] [Request Answer Button] **Part C** **Question:** To decide whether this is a large or a small current density, find the ratio of the current density \(J\) in the current loop to the current density of a 3.0 A current in a 1.0-mm-diameter wire. **Instructions:** Express your answer using two significant figures. **Input Box Placeholder:** \(\frac{J_{\text{loop}}}{J_{\text{wire}}} =\) [Submit Button]
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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![The Earth's magnetic field, with a magnetic dipole moment of \(8.0 \times 10^{22} \, \text{A m}^2\), is generated by currents within the molten iron of the Earth's outer core. Suppose we model the core current as a 3000-km-diameter current loop made from a 1000-km-diameter "wire." The loop diameter is measured from the centers of this very fat wire.
**Part B**
**Question:**
What is the current density \(J\) in the current loop?
**Instructions:**
Express your answer to two significant figures and include the appropriate units.
**Input Box Placeholder:**
\(J = \text{Value} \quad \text{Units}\)
[Submit Button]
[Request Answer Button]
**Part C**
**Question:**
To decide whether this is a large or a small current density, find the ratio of the current density \(J\) in the current loop to the current density of a 3.0 A current in a 1.0-mm-diameter wire.
**Instructions:**
Express your answer using two significant figures.
**Input Box Placeholder:**
\(\frac{J_{\text{loop}}}{J_{\text{wire}}} =\)
[Submit Button]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F24db4408-c49d-4d08-98fa-98f51b71bea2%2Fc2f96332-2701-4595-8910-b74aef74e73b%2Fpkwe393_processed.png&w=3840&q=75)
Transcribed Image Text:The Earth's magnetic field, with a magnetic dipole moment of \(8.0 \times 10^{22} \, \text{A m}^2\), is generated by currents within the molten iron of the Earth's outer core. Suppose we model the core current as a 3000-km-diameter current loop made from a 1000-km-diameter "wire." The loop diameter is measured from the centers of this very fat wire.
**Part B**
**Question:**
What is the current density \(J\) in the current loop?
**Instructions:**
Express your answer to two significant figures and include the appropriate units.
**Input Box Placeholder:**
\(J = \text{Value} \quad \text{Units}\)
[Submit Button]
[Request Answer Button]
**Part C**
**Question:**
To decide whether this is a large or a small current density, find the ratio of the current density \(J\) in the current loop to the current density of a 3.0 A current in a 1.0-mm-diameter wire.
**Instructions:**
Express your answer using two significant figures.
**Input Box Placeholder:**
\(\frac{J_{\text{loop}}}{J_{\text{wire}}} =\)
[Submit Button]
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