A wire of length 17.3 cm carrying a current of 5.94 mA is to be formed into a circular coil and placed in a uniform magnetic field B of magnitude 5.07 mT. The torque on the coil from the field is maximized. (a) What is the angle between B and the coil's magnetic dipole moment? (b) What is the number of turns in the coil? (c) What is the magnitude of that maximum torque? (a) Number Units (b) Number i Units (c) Number i Units

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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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**Problem Description**

A wire of length 17.3 cm carrying a current of 5.94 mA is to be formed into a circular coil and placed in a uniform magnetic field \(\vec{B}\) of magnitude 5.07 mT. The torque on the coil from the field is maximized. 
(a) What is the angle between \(\vec{B}\) and the coil's magnetic dipole moment? 
(b) What is the number of turns in the coil? 
(c) What is the magnitude of that maximum torque?

**Questions**

(a) Number [Input Field]  Units [Dropdown Menu]

(b) Number [Input Field]  Units [Dropdown Menu]

(c) Number [Input Field]  Units [Dropdown Menu]

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Instructions for Answering:

1. **Part (a): Determining the Angle**
   - You need to identify the angle between the magnetic field \(\vec{B}\) and the magnetic dipole moment of the coil when the torque is maximized.

2. **Part (b): Calculating the Number of Turns in the Coil**
   - Calculate the number of turns the wire forms when it is shaped into a coil.

3. **Part (c): Finding the Magnitude of Maximum Torque**
   - Calculate the magnitude of the maximum torque that the coil experiences in the magnetic field.

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**Note:** Ensure to provide your answers with appropriate scientific units using the dropdown menu for accuracy.
Transcribed Image Text:**Problem Description** A wire of length 17.3 cm carrying a current of 5.94 mA is to be formed into a circular coil and placed in a uniform magnetic field \(\vec{B}\) of magnitude 5.07 mT. The torque on the coil from the field is maximized. (a) What is the angle between \(\vec{B}\) and the coil's magnetic dipole moment? (b) What is the number of turns in the coil? (c) What is the magnitude of that maximum torque? **Questions** (a) Number [Input Field] Units [Dropdown Menu] (b) Number [Input Field] Units [Dropdown Menu] (c) Number [Input Field] Units [Dropdown Menu] --- Instructions for Answering: 1. **Part (a): Determining the Angle** - You need to identify the angle between the magnetic field \(\vec{B}\) and the magnetic dipole moment of the coil when the torque is maximized. 2. **Part (b): Calculating the Number of Turns in the Coil** - Calculate the number of turns the wire forms when it is shaped into a coil. 3. **Part (c): Finding the Magnitude of Maximum Torque** - Calculate the magnitude of the maximum torque that the coil experiences in the magnetic field. --- **Note:** Ensure to provide your answers with appropriate scientific units using the dropdown menu for accuracy.
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