Calculate the maximum torque on a circular coil

What is the formula to calculate the maximum torque on a circular coil?

How can the maximum torque on a circular coil be calculated based on the given data?

Formula for Maximum Torque on a Circular Coil

The formula to calculate the maximum torque on a circular coil is T = NIAB sinθ.

When dealing with a circular coil in a magnetic field, it is essential to understand how to determine the maximum torque exerted on the coil. The formula for calculating this torque involves the number of turns in the coil (N), the current passing through the coil (I), the area of the coil (A), the strength of the magnetic field (B), and the angle (θ) between the normal to the coil and the magnetic field.

Calculation of Maximum Torque

Using the given data of a 300 turn coil with a radius of 8 cm (0.08 m) in a 32 T magnetic field and carrying a current of 4 A, we can plug these values into the formula. The area of the coil can be calculated using the formula for the area of a circle (πr²).

Given: N = 300 turns I = 4 A A = π(0.08)² = 0.0201 m² B = 32 T θ = 0 (since the coil is in the magnetic field)

Plugging these values into the formula: T = (300)(4)(0.0201)(32) sin(0)

Final Calculation

The final calculation reveals that the maximum torque on the circular coil is 384.96 Nm.

Therefore, by understanding the formula and carefully inputting the relevant data, the maximum torque on a circular coil can be calculated accurately.