A closed loop carrying a current I lies in the xy plane. A uniform magnetic field is directed along the positive y axis. Which of the following statements best describes the total magnetic force on the current loop?
a)The total magnetic force is proportional to the area the closed loop encloses.
b) The total magnetic force depends on the shape of the loop.
c) The total magnetic force on the current loop is zero.
d)The total magnetic force is always in the plane of the loop.
e)The total magnetic force on the loop is nonzero and always perpendicular to the plane of the loop
its A
To determine the total magnetic force on a current loop in a uniform magnetic field, we need to apply the right-hand rule for magnetic force.
Using the right-hand rule, we find that the magnetic force experienced by a current-carrying wire is given by the cross product of the current vector (I) and the magnetic field vector (B). The direction of the magnetic force can be determined by pointing the thumb of the right hand along the current direction (clockwise or counterclockwise) and the fingers in the direction of the magnetic field.
In this case, since the current loop lies in the xy plane and the magnetic field is directed along the positive y-axis, the current direction and magnetic field direction are perpendicular to each other. Therefore, the thumb points out of the plane of the loop, and the fingers point in the positive y-direction.
Based on this, we can conclude that the total magnetic force on the current loop is always perpendicular to the plane of the loop, which eliminates options (a), (b), and (d).
Option (c) states that the total magnetic force on the current loop is zero. This is incorrect because as long as there is a current flowing through the loop, there will be a magnetic force acting on it. Therefore, option (c) is incorrect.
Option (e) states that the total magnetic force on the loop is nonzero and always perpendicular to the plane of the loop. This is the correct answer, as explained previously.
Therefore, the best option that describes the total magnetic force on the current loop is (e).