Question

the bent - wire circuit shown in the figure (figure 1) is in a region of space with a uniform magnetic field in the +z direction. current flows through the circuit in the direction. figure 1 of 1 part a determine the direction of the magnetic force along segment 1, which carries current in the -x direction. view available hint(s) +x -x +y -y +z -z 0

Explanation:

Step1: Recall the right - hand rule for magnetic force

The magnetic force on a current - carrying wire is given by $\vec{F}=I\vec{L}\times\vec{B}$, where $I$ is the current, $\vec{L}$ is the length vector of the wire segment in the direction of the current, and $\vec{B}$ is the magnetic field vector. The direction of the cross - product $\vec{L}\times\vec{B}$ can be found using the right - hand rule.

Step2: Identify the directions of $\vec{L}$ and $\vec{B}$

Segment 1 has current in the $+x$ direction, so $\vec{L}$ is in the $+x$ direction. The magnetic field $\vec{B}$ is in the $+z$ direction.

Step3: Apply the right - hand rule

Point the fingers of your right hand in the direction of $\vec{L}$ ($+x$) and curl them towards $\vec{B}$ ($+z$). Your thumb will point in the direction of the force. When you do this, the thumb points in the $-y$ direction.

Answer:

$-y$