in what position can a current-carrying loop of wire be located in a magnetic field so that it doesn't tend to rotate?
-I think it would be perpendicular
Perpendicular would make it have the maximum torque, wouldn't it? I personally would try to align the magnetic fields in the same direction.
A railroad car with a mass of 2000kg is rolling at a speed of 15m/s. What force would be required to stop the car in 10 seconds?
You are correct! To prevent a current-carrying loop of wire from rotating, it should be positioned perpendicular to the magnetic field. Let me explain further.
When a current-carrying loop of wire is placed in a magnetic field, it experiences a torque due to the interaction between the magnetic field and the flowing current. This torque tends to cause the loop to rotate.
The torque acting on the loop is given by the equation:
Torque = μ * B * I * sin(θ)
Where:
- Torque is the turning force acting on the loop
- μ (mu) is the magnetic moment of the loop (equal to the product of the current, area, and number of turns)
- B is the magnetic field strength
- I is the current flowing through the loop
- θ is the angle between the plane of the loop and the direction of the magnetic field
To prevent rotation, we want the torque to be zero. From the torque equation, we can see that if the angle θ is 90 degrees (perpendicular), the sin(θ) term becomes 1, resulting in a zero torque.
So, when the loop is positioned perpendicular to the magnetic field, it will not tend to rotate.