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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![### Transcription of Diagram
**Description:**
The diagram illustrates two concentric coils:
1. **Inner Coil:**
- Labeled as "Inner coil, radius R2 with N2 turns."
- This coil is used to measure voltage.
2. **Outer Coil:**
- Labeled as "Outer coil, radius R1 with N1 turns."
- It notes that the rate of change of current (\(\Delta I/\Delta t\)) is 5 amps/second.
**Question:**
"Now suppose a ferromagnetic material is inside (or nearly inside) the inner coil. Does the induced voltage increase, decrease, or stay the same?"
### Explanation for Educational Context
In electromagnetic induction, the presence of a ferromagnetic material within a coil can affect the induced electromotive force (EMF). Ferromagnetic materials can enhance the magnetic field due to their high permeability, which can, in turn, increase the magnetic flux linkage. According to Faraday's Law of Induction, an increase in the magnetic flux (\( \Phi \)) through a coil increases the induced EMF (\( \varepsilon \)), which is calculated as:
\[ \varepsilon = - \frac{d\Phi}{dt} \]
In this scenario, if a ferromagnetic material is placed inside or near the inner coil, the induced voltage is likely to increase due to the enhanced magnetic field and flux linkage.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F60af46cc-0d0a-43f7-b2e0-84e1176374a1%2F2bcb1ebe-1236-4ecd-90a5-bd886468a450%2Fzeyyz1f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Transcription of Diagram
**Description:**
The diagram illustrates two concentric coils:
1. **Inner Coil:**
- Labeled as "Inner coil, radius R2 with N2 turns."
- This coil is used to measure voltage.
2. **Outer Coil:**
- Labeled as "Outer coil, radius R1 with N1 turns."
- It notes that the rate of change of current (\(\Delta I/\Delta t\)) is 5 amps/second.
**Question:**
"Now suppose a ferromagnetic material is inside (or nearly inside) the inner coil. Does the induced voltage increase, decrease, or stay the same?"
### Explanation for Educational Context
In electromagnetic induction, the presence of a ferromagnetic material within a coil can affect the induced electromotive force (EMF). Ferromagnetic materials can enhance the magnetic field due to their high permeability, which can, in turn, increase the magnetic flux linkage. According to Faraday's Law of Induction, an increase in the magnetic flux (\( \Phi \)) through a coil increases the induced EMF (\( \varepsilon \)), which is calculated as:
\[ \varepsilon = - \frac{d\Phi}{dt} \]
In this scenario, if a ferromagnetic material is placed inside or near the inner coil, the induced voltage is likely to increase due to the enhanced magnetic field and flux linkage.
Expert Solution
Step 1
Faraday’s law of induction states that an electromotive force is induced by a change in the magnetic flux.
When a ferromagnetic material is placed inside the inner coil. It attracts more number of magnetic field lines so Flux passing through it increase.
Faraday’s law of induction states that the EMF induced by a change in magnetic flux.
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