The right half of the square loop of wire shown in Figure P 24.37 is in a 0.85 T magnetic field

step 1 The diagram, and we're told the right hand of the square loop of wire that's shown is in a 0 .85

The right half of the square loop of wire shown in Figure P...

The right half of the square loop of wire shown in Figure $\mathrm{P} 24.37$ is in a $0.85 \mathrm{T}$ magnetic field directed into the page. The current in the loop is $1.3 \mathrm{A}$ in a clockwise direction. What is the magnitude of the force on the loop, and in which direction does it act?

Key Concepts

Magnetic Force on a Current-Carrying Conductor

When a conductor carrying an electric current is placed in a magnetic field, it experiences a force given by F = I L × B, where I is the current, L is the length vector of the conductor, and B is the magnetic field. This force is perpendicular to both the direction of the current and the magnetic field, and its magnitude depends on the sine of the angle between the conductor’s direction and the magnetic field.

Right-Hand Rule

The right-hand rule is a convention used to determine the direction of the magnetic force on a current-carrying wire. By pointing the thumb in the direction of the current and the fingers in the direction of the magnetic field, the palm’s push or the direction in which the force acts is indicated. This method is essential in visualizing and predicting the force’s direction in three-dimensional space.

Partial Loop Analysis in Magnetic Fields

In situations where only part of a current loop is exposed to a magnetic field, such as when one section of the loop is inside the field while the rest is not, the forces acting on that segment do not cancel out with forces on the other segments. This results in a net force on the loop. Analyzing such a system involves identifying which segments are within the magnetic field and calculating the individual forces using the magnetic force equation to determine the overall effect on the loop.

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