A wire of length e = 0.35 m is conducting a current of i= 8.5 A toward the top of the page and through a B = 2.0 T uniform magnetic field directed into the page, as shown in the figure. What is the magnitude F of the magnetic force on the wire? F = N Incorrect B What is the direction of the magnetic force on the wire? up into the screen right out of the screen down left
A wire of length e = 0.35 m is conducting a current of i= 8.5 A toward the top of the page and through a B = 2.0 T uniform magnetic field directed into the page, as shown in the figure. What is the magnitude F of the magnetic force on the wire? F = N Incorrect B What is the direction of the magnetic force on the wire? up into the screen right out of the screen down left
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Chapter1: Units, Trigonometry. And Vectors
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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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![## Magnetic Force on a Current-Carrying Wire
A wire of length \( \ell = 0.35 \, \text{m} \) is conducting a current of \( i = 8.5 \, \text{A} \) toward the top of the page. The wire is placed in a uniform magnetic field \( B = 2.0 \, \text{T} \) directed into the page, as shown in the figure.
### What is the magnitude \( F \) of the magnetic force on the wire?
To find the magnitude of the magnetic force \( F \) on the wire, we use the formula:
\[ F = \ell \cdot i \cdot B \]
Given:
- \( \ell = 0.35 \, \text{m} \)
- \( i = 8.5 \, \text{A} \)
- \( B = 2.0 \, \text{T} \)
Substitute these values into the equation:
\[ F = 0.35 \, \text{m} \cdot 8.5 \, \text{A} \cdot 2.0 \, \text{T} = 5.95 \, \text{N} \]
Thus, the magnitude of the magnetic force on the wire is \( \boxed{5.95 \, \text{N}} \).
### What is the direction of the magnetic force on the wire?
To determine the direction of the magnetic force, we use the right-hand rule. Point your thumb in the direction of the current \( i \) (upward), and your fingers in the direction of the magnetic field \( B \) (into the page). Your palm will then face in the direction of the magnetic force.
In this scenario, using the right-hand rule, the force is directed to the left.
Therefore, the direction of the magnetic force on the wire is \( \boxed{\text{left}} \).
### Diagram Explanation
The figure accompanying the text shows:
- A grid of circles with crosses, indicating a uniform magnetic field \( B \) directed into the page.
- A vertical wire placed in the center of the grid, with current \( i \) flowing upward.
This setup visually represents the interaction between the magnetic field and the current-carrying wire, wherein the magnetic force is calculated and determined to act to the left, based on](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F37e1db01-06d0-4e20-aae1-26f96b6814c3%2Fa0055643-5f12-4402-9a16-f3b74db070da%2F0ncgr37_processed.png&w=3840&q=75)
Transcribed Image Text:## Magnetic Force on a Current-Carrying Wire
A wire of length \( \ell = 0.35 \, \text{m} \) is conducting a current of \( i = 8.5 \, \text{A} \) toward the top of the page. The wire is placed in a uniform magnetic field \( B = 2.0 \, \text{T} \) directed into the page, as shown in the figure.
### What is the magnitude \( F \) of the magnetic force on the wire?
To find the magnitude of the magnetic force \( F \) on the wire, we use the formula:
\[ F = \ell \cdot i \cdot B \]
Given:
- \( \ell = 0.35 \, \text{m} \)
- \( i = 8.5 \, \text{A} \)
- \( B = 2.0 \, \text{T} \)
Substitute these values into the equation:
\[ F = 0.35 \, \text{m} \cdot 8.5 \, \text{A} \cdot 2.0 \, \text{T} = 5.95 \, \text{N} \]
Thus, the magnitude of the magnetic force on the wire is \( \boxed{5.95 \, \text{N}} \).
### What is the direction of the magnetic force on the wire?
To determine the direction of the magnetic force, we use the right-hand rule. Point your thumb in the direction of the current \( i \) (upward), and your fingers in the direction of the magnetic field \( B \) (into the page). Your palm will then face in the direction of the magnetic force.
In this scenario, using the right-hand rule, the force is directed to the left.
Therefore, the direction of the magnetic force on the wire is \( \boxed{\text{left}} \).
### Diagram Explanation
The figure accompanying the text shows:
- A grid of circles with crosses, indicating a uniform magnetic field \( B \) directed into the page.
- A vertical wire placed in the center of the grid, with current \( i \) flowing upward.
This setup visually represents the interaction between the magnetic field and the current-carrying wire, wherein the magnetic force is calculated and determined to act to the left, based on
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