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Question 928 of 949

What is the direction of the magnetic force experienced by a straight current-carrying conductor placed in a uniform magnetic field, if the current flows from left to right and the magnetic field is directed upward?

  • Downward
  • Upward
  • Out of the page
  • Into the page

Correct Answer: C

Explanation
### Correct Option: C. Out of the page ### Detailed Explanation: To determine the direction of the magnetic force experienced by a straight current-carrying conductor in a magnetic field, we can use the **right-hand rule**. This rule is a helpful mnemonic used in physics to find the direction of the force on a current-carrying conductor in a magnetic field. #### Step-by-Step Explanation: 1. **Identify the Directions**: - The current is flowing from **left to right**. - The magnetic field is directed **upward**. 2. **Apply the Right-Hand Rule**: - Extend your right hand. - Point your thumb in the direction of the current (from left to right). - Point your fingers in the direction of the magnetic field (upward). 3. **Determine the Force Direction**: - Your palm will face outward, which indicates the direction of the magnetic force acting on the conductor. - In this case, the force is directed **out of the page** towards you. ### Why the Other Options Are Incorrect: - **Option A: Downward**: - This option suggests that the magnetic force is directed downward. However, according to the right-hand rule, the force is not in the downward direction when the current flows left to right and the magnetic field is upward. - **Option B: Upward**: - This option implies that the force is directed upward. Again, using the right-hand rule, the force cannot be upward since the magnetic field is already directed upward, and the current is flowing horizontally. - **Option D: Into the page**: - This option suggests that the force is directed into the page. However, as established by the right-hand rule, the force is directed out of the page, not into it. ### Formulas and Concepts: - The magnetic force \( F \) on a current-carrying conductor can be calculated using the formula: \[ F = I \cdot L \cdot B \cdot \sin(\theta) \] where: - \( F \) is the magnetic force, - \( I \) is the current, - \( L \) is the length of the conductor in the magnetic field, - \( B \) is the magnetic field strength, - \( \theta \) is the angle between the current direction and the magnetic field direction. - In this scenario, since the current and magnetic field are perpendicular, \( \sin(90^\circ) = 1 \), simplifying our understanding of the force direction. ### Common Pitfalls: - **Confusing the Directions**: Students often mix up the directions of the current and the magnetic field. Always ensure you clearly identify both directions before applying the right-hand rule. - **Forgetting the Right-Hand Rule**: Some may forget to use the right-hand rule or misinterpret it. Practice using your right hand to visualize the directions correctly. ### Revision Summary: - Use the right-hand rule to determine the direction of the magnetic force on a current-carrying conductor. - Current flowing from left to right and a magnetic field directed upward results in a force directed out of the page. - Remember that the force direction is perpendicular to both the current and the magnetic field. - Always double-check the directions of the current and magnetic field before applying the right-hand rule.
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