A wire with electric current flowing to the left in the –x direction is placed within a magnetic field directed towards the top in the +y direction. What is the direction of the magnetic force acting on the wire? B A) To the left (-x) B) To the right (+x) C) Towards the bottom (–y) D) Towards the top (+y) E) Into the page (-z) F) Out of the page (+z)

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A wire with electric current flowing to the left in the − direction is placed
within a magnetic field directed towards the top in the + direction. What is the  direction of the magnetic force acting on the wire?

Can you explain to me why the answer is E: Into the page (-z)? 

**Electromagnetic Forces on a Current-Carrying Wire**

**Question:**
A wire with electric current flowing to the left in the \( -x \) direction is placed within a magnetic field directed towards the top in the \( +y \) direction. What is the direction of the magnetic force acting on the wire?

A) To the left (\(-x\))

B) To the right (\(+x\))

C) Towards the bottom (\(-y\))

D) Towards the top (\(+y\))

E) Into the page (\(-z\))

F) Out of the page (\(+z\))

**Explanation of Diagram:**

In the accompanying diagram, the wire is depicted with a current (\(I\)) flowing to the left, indicated by the leftward arrow inside the wire. The magnetic field (\( \vec{B} \)) is represented by three upward arrows, showing its direction towards the top in the \(+y\) direction.

To determine the direction of the magnetic force, the right-hand rule is applied. Point your thumb in the direction of the current (left, \(-x\)) and your fingers in the direction of the magnetic field (\(+y\)). The force, \( \vec{F} \), will be directed out of the palm, which corresponds to the direction out of the page (\(+z\)). Thus, the correct answer is:

**F) Out of the page (\(+z\))**
Transcribed Image Text:**Electromagnetic Forces on a Current-Carrying Wire** **Question:** A wire with electric current flowing to the left in the \( -x \) direction is placed within a magnetic field directed towards the top in the \( +y \) direction. What is the direction of the magnetic force acting on the wire? A) To the left (\(-x\)) B) To the right (\(+x\)) C) Towards the bottom (\(-y\)) D) Towards the top (\(+y\)) E) Into the page (\(-z\)) F) Out of the page (\(+z\)) **Explanation of Diagram:** In the accompanying diagram, the wire is depicted with a current (\(I\)) flowing to the left, indicated by the leftward arrow inside the wire. The magnetic field (\( \vec{B} \)) is represented by three upward arrows, showing its direction towards the top in the \(+y\) direction. To determine the direction of the magnetic force, the right-hand rule is applied. Point your thumb in the direction of the current (left, \(-x\)) and your fingers in the direction of the magnetic field (\(+y\)). The force, \( \vec{F} \), will be directed out of the palm, which corresponds to the direction out of the page (\(+z\)). Thus, the correct answer is: **F) Out of the page (\(+z\))**
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