6. A horizontal wire carries a current and is in a vertical magnetic field. What is the direction of the force on the wire?

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Chapter1: Units, Trigonometry. And Vectors
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**Question 6:**

A horizontal wire carries a current and is in a vertical magnetic field. What is the direction of the force on the wire?

**Diagram Explanation:**

The diagram is divided into three parts labeled "a," "b," and "c," each showing a different scenario of a wire interacting with a magnetic field.

- **Part (a):**
  - The wire is vertical with a current \( I \) flowing upwards.
  - The magnetic field lines \( B \) are oriented vertically and parallel to the wire.
  - There are no indicators of force direction since the current and magnetic field are aligned.

- **Part (b):**
  - The wire is horizontal with a current \( I \) flowing to the right.
  - The magnetic field lines \( B \) are directed vertically upwards.
  - Given this configuration, the force on the wire can be determined using the right-hand rule for the cross-product of vectors (magnetic force direction).

- **Part (c):**
  - The wire is perpendicular to the field, shown with current \( I \) going into the page (indicated by a circle with a cross).
  - The magnetic field lines \( B \) are vertically oriented upwards.
  - The force direction, according to the right-hand rule, is towards the left.

In each scenario, the direction of the force on the wire is determined through the application of the right-hand rule, which aligns the thumb with the current, fingers with the magnetic field, and the resulting palm direction indicates the direction of force.
Transcribed Image Text:**Question 6:** A horizontal wire carries a current and is in a vertical magnetic field. What is the direction of the force on the wire? **Diagram Explanation:** The diagram is divided into three parts labeled "a," "b," and "c," each showing a different scenario of a wire interacting with a magnetic field. - **Part (a):** - The wire is vertical with a current \( I \) flowing upwards. - The magnetic field lines \( B \) are oriented vertically and parallel to the wire. - There are no indicators of force direction since the current and magnetic field are aligned. - **Part (b):** - The wire is horizontal with a current \( I \) flowing to the right. - The magnetic field lines \( B \) are directed vertically upwards. - Given this configuration, the force on the wire can be determined using the right-hand rule for the cross-product of vectors (magnetic force direction). - **Part (c):** - The wire is perpendicular to the field, shown with current \( I \) going into the page (indicated by a circle with a cross). - The magnetic field lines \( B \) are vertically oriented upwards. - The force direction, according to the right-hand rule, is towards the left. In each scenario, the direction of the force on the wire is determined through the application of the right-hand rule, which aligns the thumb with the current, fingers with the magnetic field, and the resulting palm direction indicates the direction of force.
Expert Solution
Step 1

Given:

The direction of the magnetic field is vertical upward.

The direction of the current is in the horizontal direction.

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