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The torque of a conductor is defined only in the case when
  • a)
    The field is perpendicular to the loop
  • b)
    The plane of the loop is parallel to the field
  • c)
    The plane of the loop is perpendicular to the current direction
  • d)
    The field and the current direction are same
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The torque of a conductor is defined only in the case whena)The field ...
Answer: b
Explanation: The torque of a conductor is given by T = NBIA. This equation of the conductor is valid only when the plane of the loop is parallel to the magnetic field applied to it.
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The torque of a conductor is defined only in the case whena)The field ...
The torque of a conductor is defined only in the case when the plane of the loop is parallel to the field.

Explanation:

When a current-carrying loop is placed in a magnetic field, a torque is exerted on the loop due to the interaction between the magnetic field and the current flowing through the loop. This torque tends to rotate the loop.

Importance of the plane of the loop:

The torque experienced by a current-carrying loop depends on the orientation of the loop with respect to the magnetic field. The plane of the loop plays a crucial role in determining the torque.

Torque and magnetic field interaction:

When the plane of the loop is parallel to the magnetic field, the magnetic force acts perpendicular to both the current direction and the magnetic field. This results in a torque that tends to rotate the loop.

Torque and current direction interaction:

However, if the plane of the loop is perpendicular to the current direction, the torque becomes zero. This is because the magnetic force acts parallel to the plane of the loop and does not exert any rotational effect.

Torque and field direction interaction:

Similarly, if the magnetic field is perpendicular to the loop, the torque also becomes zero. The magnetic force acts parallel to the current direction and does not exert any rotational effect.

Conclusion:

Therefore, the only case in which the torque of a conductor is defined is when the plane of the loop is parallel to the magnetic field. In this configuration, the torque can be calculated using the formula:

Torque = magnetic field strength * current * area of the loop * sin(theta)

where theta is the angle between the magnetic field and the plane of the loop.

This understanding is crucial in various applications of electromagnetism, such as electric motors, generators, and transformers, where the torque on conductors plays a significant role.
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The torque of a conductor is defined only in the case whena)The field is perpendicular to the loopb)The plane of the loop is parallel to the fieldc)The plane of the loop is perpendicular to the current directiond)The field and the current direction are sameCorrect answer is option 'B'. Can you explain this answer?
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