You are assigned the job of building a very sensitive magnetic scale. Objects are hung from a horizontal rod through which an electric current is directed from left to right. The rod is loosely attached to a pair of vertical rails that allow it to slide up and down with almost no resistance. The entire scale is placed in an external magnetic field, and the current is adjusted until the rod and object levitate, balancing the downward gravitational force with an upward magnetic force. B? 1. In which direction must the external magnetic field point in order for your scale to work? 2. What current is needed to balance the scale if the combined mass of the rod and object is 1 kg, the length of the wire is 1 meter, and the magnitude of the external magnetic field is O.1 Tesla?

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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**Title: Building a Sensitive Magnetic Scale**

**Introduction:**
You are tasked with constructing a highly sensitive magnetic scale. Objects are suspended from a horizontal rod through which an electric current flows from left to right. This rod is loosely attached to vertical rails, allowing it to move up and down with minimal resistance. The scale operates in the presence of an external magnetic field, with the current calibrated such that the rod and attached object levitate. This balances the downward gravitational force with an upward magnetic force.

**Diagram Description:**
The diagram shows a horizontal rod, labeled with a current "I" flowing to the right. An object with mass "m" hangs from the rod. There is a question mark next to the letter "B," suggesting inquiry about the direction of the external magnetic field needed.

**Discussion Questions:**

1. **Direction of External Magnetic Field:**
   In which direction must the external magnetic field point to ensure the function of the scale?

2. **Required Current for Balance:**
   Calculate the necessary current to balance the scale given:
   - Combined mass of the rod and object: 1 kg
   - Length of the wire: 1 meter
   - External magnetic field magnitude: 0.1 Tesla

**Conclusion:**
This activity explores the interplay of magnetic fields and electrical currents in creating forces capable of counteracting gravity.
Transcribed Image Text:**Title: Building a Sensitive Magnetic Scale** **Introduction:** You are tasked with constructing a highly sensitive magnetic scale. Objects are suspended from a horizontal rod through which an electric current flows from left to right. This rod is loosely attached to vertical rails, allowing it to move up and down with minimal resistance. The scale operates in the presence of an external magnetic field, with the current calibrated such that the rod and attached object levitate. This balances the downward gravitational force with an upward magnetic force. **Diagram Description:** The diagram shows a horizontal rod, labeled with a current "I" flowing to the right. An object with mass "m" hangs from the rod. There is a question mark next to the letter "B," suggesting inquiry about the direction of the external magnetic field needed. **Discussion Questions:** 1. **Direction of External Magnetic Field:** In which direction must the external magnetic field point to ensure the function of the scale? 2. **Required Current for Balance:** Calculate the necessary current to balance the scale given: - Combined mass of the rod and object: 1 kg - Length of the wire: 1 meter - External magnetic field magnitude: 0.1 Tesla **Conclusion:** This activity explores the interplay of magnetic fields and electrical currents in creating forces capable of counteracting gravity.
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