https://file.aiquickdraw.com/mathbot/file/172850386263484297188.jpg

The image depicts a coil with a current \( I \) and a radius \( r \). The question is whether increasing the radius \( r \) of the coil reduces the torque acting on the conductor.

In general, the torque \( \tau \) acting on a coil in a magnetic field can be expressed as:

\[
\tau = n I A B \sin(\theta)
\]

Where:
- \( n \) is the number of turns of the coil,
- \( I \) is the current through the coil,
- \( A \) is the area of the coil, which for a circular coil is \( A = \pi r^2 \),
- \( B \) is the magnetic field strength,
- \( \theta \) is the angle between the normal to the coil and the magnetic field.

As you can see, torque \( \tau \) is proportional to the area \( A = \pi r^2 \). Therefore, as \( r \) increases, the area of the coil increases, which would actually increase the torque (assuming all other factors are constant). 

Thus, the statement in the image, "As 'r' of the coil increases, the torque acting on the conductor reduces," is **False**.

Would you like further details or have any other questions?

### Related Questions:
1. How does the number of turns \( n \) in a coil affect the torque produced?
2. What is the relationship between torque and the angle \( \theta \) in the torque formula?
3. How does changing the current \( I \) influence the torque on a coil?
4. What happens to the torque if the magnetic field \( B \) is increased?
5. Can the torque on a coil ever become zero? Under what conditions?

### Tip:
For a circular loop, the torque is proportional to the square of the radius \( r \), so doubling the radius quadruples the torque, assuming other factors remain unchanged.

As 'r' of the coil increases, the torque acting on the conductor reduces. True or False?

Understand how the radius of a coil affects the torque acting on it in a magnetic field. This problem covers key concepts in electromagnetism, including torque, magnetic field strength, and coil area. Suitable for students in Grades 11-12.

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