A stiff wire 46.5 cm long is bent at a right angle in the middle. One section lies along the z axis and the other is along the line y = 2x in the xy plane. A current of 16.5 A flows in the wire-down the z axis and out the line in the æy plane. The wire passes through a uniform magnetic field given by B = (0.318i) T.

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Chapter1: Units, Trigonometry. And Vectors
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Please help me with both parts of this problem, and double check your answers, i have had many issues with tutors in the past giving incorrect answers, and thats of no use to me then

**Problem 27.7**

**Description:**
A stiff wire 46.5 cm long is bent at a right angle in the middle. One section lies along the z-axis and the other is along the line \( y = 2x \) in the xy-plane. A current of 16.5 A flows in the wire—down the z-axis and out the line in the xy-plane. The wire passes through a uniform magnetic field given by \( \mathbf{B} = (0.318\hat{i}) \) T.

**Part A:**
Determine the magnitude and direction of the total force on the wire.

\[ F = \]  __________ N

[Submit] [Request Answer]

**Part B:**
\[ \theta = \]  __________ ° below the negative y-axis 

---

**Explanation:**
1. **Description of the Stiff Wire:** This part explains the setup of the problem, describing the length of the wire, the sections of the wire, and the direction and magnitude of the current.

2. **Magnetic Field Information:** The uniform magnetic field through which the current-carrying wire passes is defined mathematically as \( \mathbf{B} = (0.318\hat{i}) \) T, where \(\hat{i}\) is the unit vector in the x-direction.

3. **Problem Breakdown:**
   - **Part A:** The task is to determine the total force (both magnitude and direction) on the current-carrying wire in the magnetic field.
   - **Part B:** After finding the force in Part A, this part requires calculating the angle \( \theta \) of the force with respect to the negative y-axis.

*Note: There are no graphs or diagrams in this image.*
Transcribed Image Text:**Problem 27.7** **Description:** A stiff wire 46.5 cm long is bent at a right angle in the middle. One section lies along the z-axis and the other is along the line \( y = 2x \) in the xy-plane. A current of 16.5 A flows in the wire—down the z-axis and out the line in the xy-plane. The wire passes through a uniform magnetic field given by \( \mathbf{B} = (0.318\hat{i}) \) T. **Part A:** Determine the magnitude and direction of the total force on the wire. \[ F = \] __________ N [Submit] [Request Answer] **Part B:** \[ \theta = \] __________ ° below the negative y-axis --- **Explanation:** 1. **Description of the Stiff Wire:** This part explains the setup of the problem, describing the length of the wire, the sections of the wire, and the direction and magnitude of the current. 2. **Magnetic Field Information:** The uniform magnetic field through which the current-carrying wire passes is defined mathematically as \( \mathbf{B} = (0.318\hat{i}) \) T, where \(\hat{i}\) is the unit vector in the x-direction. 3. **Problem Breakdown:** - **Part A:** The task is to determine the total force (both magnitude and direction) on the current-carrying wire in the magnetic field. - **Part B:** After finding the force in Part A, this part requires calculating the angle \( \theta \) of the force with respect to the negative y-axis. *Note: There are no graphs or diagrams in this image.*
**Problem 27.19**

A doubly charged helium atom whose mass is \( 6.6 \times 10^{-27} \) kg is accelerated by a voltage of 2900 V.

**Part B**

What is its period of revolution?

Express your answer using two significant figures.

\[ T = \ \, \boxed{} \quad \text{s} \]

Submit

Provide Feedback
Transcribed Image Text:**Problem 27.19** A doubly charged helium atom whose mass is \( 6.6 \times 10^{-27} \) kg is accelerated by a voltage of 2900 V. **Part B** What is its period of revolution? Express your answer using two significant figures. \[ T = \ \, \boxed{} \quad \text{s} \] Submit Provide Feedback
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