Magnetic field is 0.5T, radius is r=1m, current in one loop is I=2A. the angle between the magnetic moment and the external B field is 30 degrees. calculate the magnitude of the magnetic torque.
so i know that torque= IANBsin(30)
torque= 2*3.14*1*0.5*sin(30)
the answer is 1.57nM, but i keep getting -3.10 on my calculator and i dont know what i'm doing wrong :( can someone help me out?
To calculate the magnitude of the magnetic torque, you correctly used the formula:
Torque = I * A * N * B * sin(θ),
where:
- I is the current in the loop wire,
- A is the area of the loop,
- N is the number of turns in the loop,
- B is the magnetic field, and
- θ is the angle between the magnetic moment and the external magnetic field.
Let's break down the calculation step-by-step to see where the discrepancy might be coming from:
1. Given that the radius (r) of the loop is 1 m, the area (A) of the loop can be calculated as:
A = π * r^2 = 3.14 * 1^2 = 3.14 m^2.
2. The number of turns (N) in the loop is not given. Please provide this value.
3. The magnetic field (B) is given as 0.5 T.
4. The angle between the magnetic moment and the external magnetic field (θ) is given as 30 degrees.
Now, I suspect that the discrepancy in your calculation might be due to using the wrong units for the answer. The correct units for torque are Newton-meters (N-m), not nanoNewton-meters (nNm).
So, based on the provided information, the correct calculation would be:
Torque = 2 A * 3.14 m^2 * N * 0.5 T * sin(30 deg).
Please provide the missing value for N (number of turns) in order to complete the calculation accurately.