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
The figure below has two currents: the one on the wire, I = 5 A, and the one on the loop,
I = 10 A. The following values apply: (a = 15 cm, l = 45 cm, and c = 10 cm). Find the
magnitude and direction of the force exerted on the loop by the wire.
Transcribed Image Text:The image depicts a situation where two currents are interacting, likely for the purpose of studying magnetic forces between current-carrying conductors.
### Description:
1. **Currents:**
- **I1**: This current flows vertically upwards along a straight conductor positioned on the left side of the image.
- **I2**: This current also flows vertically upwards but through a rectangular loop situated to the right of the vertical conductor.
2. **Rectangular Loop Dimensions:**
- The rectangular loop has a length denoted by the symbol \(\ell\) (lowercase L).
- The horizontal width of the rectangular loop is represented by \(a\).
3. **Distances:**
- The distance between the left vertical conductor (carrying current \(I1\)) and the inner edge of the rectangular loop is \(c\).
### Detailed Explanation:
- The image is likely illustrating the magnetic interaction between the straight conductor (carrying current \(I1\)) and the rectangular loop (carrying current \(I2\)). This can be an important concept in electromagnetic theory, particularly in the context of Ampere's Law and the Biot-Savart Law.
- The forces between the current-carrying wires depend on the direction and magnitude of the currents. Given that both currents \(I1\) and \(I2\) are flowing in the same direction (upwards), this typically suggests an attractive force between the parts of the loop and the straight conductor.
This type of diagram is instrumental in the study of electromagnetism, especially when analyzing the magnetic fields generated by currents and the resultant forces due to these fields.
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