Question

A flat, 158 ‑turn, current‑carrying loop is immersed in a uniform magnetic field. The area of the loop is 9.17 cm² and the angle between its magnetic dipole moment and the field is 50.5°. Find the strength of the magnetic field that causes a torque of 1.79×10⁻⁵ N⋅m to act on the loop when a current of 2.77 mA flows in it.

Answer 1

To find the strength of the magnetic field that causes a torque on a current-carrying loop, we can use the equation T = m * B * sin(θ). Plugging in the given values, we can calculate the strength of the magnetic field.

Step-by-step explanation:

To find the strength of the magnetic field that causes a torque on a current-carrying loop, we can use the equation:

T = m * B * sin(θ)

Where:

• T is the torque
• m is the magnetic dipole moment of the loop
• B is the strength of the magnetic field
• θ is the angle between the magnetic dipole moment and the magnetic field

Given the torque T and the current in the loop, we can solve for the strength of the magnetic field B using the formula. We know the number of turns in the loop and the area of the loop, so we can calculate the magnetic dipole moment using the formula:

m = n * A * I

Where:

• n is the number of turns in the loop
• A is the area of the loop
• I is the current flowing in the loop

Using the given values and plugging them into the formulas, we can calculate the strength of the magnetic field.