Calculate the Magnitude of the Magnetic Force in a Single-Turn Current Loop
Turn,Identify the magnitude of the magnetic force and the direction of the magnetic field. Also, find the magnitude of the net electric field. Finally, determine the torque that is exerted on the loop.
Direction of the magnetic field
Using the right hand rule, the direction of the magnetic field in a single-turn current loop is shown to be a parallel to the direction of the current in the side of the loop. The current in the -x axis is moving with a velocity of 76 m/s, and the current in the +x axis is moving with a speed of 1.99 x 106 m/s.
The current flowing around the plane circular loop of radius r has a magnetic dipole moment of magnitude m. This is the equivalent of a single-turn current loop carrying a current of 4.70 A.
The magnetic field produced by the loop is similar to the bar magnet field, but is shaped more like a current-carrying wire. When a current loop is placed in a uniform magnetic field, the magnetic field strength at the center of the loop can be used to determine its radius.
The magnetic field in the loop is uniform, but the torque that is exerted by the current on the loop is not. The non-zero forces have a lever arm about the loop’s center.
Magnitude of the magnetic force
Suppose you have a loop carrying a current of 8.00 A and you want to calculate the magnitude of the magnetic force on the loop. To do this, you need to know the direction of the current and the magnitude of the magnetic field at its center. The magnitude of the magnetic force on a loop is a measure of the amount of torque that the loop can produce.
The size of the magnitude of the magnetic force on a single turn loop varies with the size of the loop and the current flow. Similarly, the magnitude of the magnetic field varies with the direction and time. For example, a 750 m/s current is equivalent to a 0.7 T magnetic field. When calculating the magnitude of the magnetic force, you need to determine whether the torque on the loop is uniform, or non-uniform.
In the case of a rectangular loop, the width of the loop is a, the height of the loop is b, and the number of turns in the loop is N. When the loop is made of N turns, its plane makes an angle of 30o with the x-axis.
Magnitude of the net electric field
Suppose a long, thin, straight rod is placed in a tightly wrapped coil of 10 turns, with a 25 cm radius. A 5.0c cross section solenoid is then placed in the middle. This loop carries a current of 1.3 A.
The solenoid winding density is determined by the length of the loop and the number of loops. It is a simple equation: L= n*R+A, where L is the length of the solenoid and R is the radius.
The magnitude of the net electric field in a single-turn current loop carrying a current of 1.3 A is 3.00×10-5T. It is not zero because of the interaction between the current and the magnetic field.
If the solenoid is a cylindrical shape, the magnitude of the induced electric field will be dependent on the length of the wire and the distance from the axis of the solenoid. When the charge is positive, the induced electric field will be vertical.
To measure the magnitude of the induced electric field, students will count the number of loops in the coil and the number of turns per loop. Then, they will calculate the density of the induced electrical field.
Torque exerted on the loop
During a current loop’s rotation, torque is exerted by a magnetic field on the current loop. The force tries to align the normal vector of the loop with the direction of the magnetic field. The magnitude of the force is determined by the magnetic moment and the distance between the center of the current loop and the point where the force is applied. The formula for the torque is t = m B sinth.
The torque is also called the turning effect. It is the rotational analogue of the linear force. The total torque on the coil is the sum of the torques on each coil turn. This is an important characteristic of the torque.
The maximum torque occurs when the magnetic dipole’s potential energy is smallest. The direction of the magnetic dipole is a crucial factor in the maximum torque. The direction of the field is the same as the direction of the current in the 130 cm side of the loop.