**Correct Option: C. Perpendicular to both the current and the magnetic field** ### Detailed Explanation: To understand the direction of the magnetic force experienced by a current-carrying conductor in a magnetic field, we can use the right-hand rule, which is a helpful mnemonic in physics. 1. **Understanding the Right-Hand Rule**: - The right-hand rule states that if you point your right thumb in the direction of the current (I) and your fingers in the direction of the magnetic field (B), then your palm will face in the direction of the magnetic force (F) acting on the conductor. - This means that the magnetic force is always perpendicular to both the direction of the current and the direction of the magnetic field. 2. **Magnetic Force on a Conductor**: - The magnetic force (F) on a straight conductor carrying current in a magnetic field 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 direction of the current and the magnetic field. - When the conductor is perpendicular to the magnetic field (\( \theta = 90^\circ \)), the sine function equals 1, and the force is maximized. 3. **Why Option C is Correct**: - Since the magnetic force is always perpendicular to both the current and the magnetic field, option C is the correct answer. This relationship is fundamental in electromagnetism and is crucial for understanding how electric motors and generators work. ### Why the Other Options are Incorrect: - **Option A: Parallel to the magnetic field**: - This option is incorrect because the magnetic force cannot be parallel to the magnetic field. According to the right-hand rule, the force is always at an angle to both the current and the magnetic field, specifically perpendicular to both. - **Option B: Opposite to the direction of the current**: - This option is misleading. The magnetic force does not act in the opposite direction of the current. Instead, it acts perpendicular to the current's direction. The force's direction depends on the orientation of the magnetic field, not simply opposing the current. - **Option D: In the same direction as the magnetic field**: - This option is also incorrect. The magnetic force cannot be in the same direction as the magnetic field. Again, the right-hand rule shows that the force is perpendicular to the magnetic field, not aligned with it. ### Common Pitfalls: - Students often confuse the direction of the magnetic force with the direction of the current or the magnetic field. Remember, the force is always perpendicular to both. - Misapplying the right-hand rule can lead to incorrect conclusions about the direction of the force. Always ensure your thumb, fingers, and palm are oriented correctly. ### Revision Summary: - The magnetic force on a current-carrying conductor in a magnetic field is **perpendicular** to both the current and the magnetic field. - Use the **right-hand rule**: Thumb = current, fingers = magnetic field, palm = force direction. - The formula for magnetic force is \( F = I \cdot L \cdot B \cdot \sin(\theta) \). - Remember that the force cannot be parallel or in the same direction as the current or magnetic field.