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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Question
Which way is the induced current across the resistor as the magnetic field shown decreases in strength
Transcribed Image Text:### Educational Explanation
**Diagram Description:**
The image depicts a circular loop with a resistor labeled \( R \) at the bottom of the loop. The circle is within a magnetic field, indicated by the symbol \( \vec{B} \). The small dots inside and around the circle represent the uniform magnetic field that is pointing out of the plane of the page (denoted by dots, analogous to the tip of an arrow coming out of the page).
**Concepts to Explore:**
1. **Magnetic Field (\( \vec{B} \)):**
- The direction of \( \vec{B} \) is perpendicular to the surface of the loop and points outward.
2. **Induced Current:**
- According to Faraday's Law of Electromagnetic Induction, a change in the magnetic field through the loop can induce an electromotive force (emf) and hence a current.
- Lenz's Law tells us the direction of this induced current will be such that it opposes the change in magnetic flux.
**Question Presented:**
The diagram is followed by a multiple-choice question asking about the direction of the current:
- Right to left
- No current is induced
- Left to right
**Considerations:**
To determine if an induced current exists and its direction, consider these factors:
- If the magnetic field is changing in strength over time, it can induce current.
- If the field is constant, no current is induced.
### Answer Explanation:
Assuming the magnetic field strength through the loop is changing, let's consider:
- If the field is increasing, the induced current would oppose the increase (determining direction using the right-hand rule).
- If the field is decreasing, the current will endeavor to sustain the field inside the loop.
The actual direction of the current (if present) depends on the specific change happening in the magnetic field and is not determinable from this static diagram alone.
For instructional purposes, students could experiment with varying field strengths to understand the concepts.
Expert Solution
Step 1: Define Lenz law
The direction of the induced current in the loop can be determined by using Lenz's law.
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