Question

the diagram shows a straight wire carrying current i in a uniform magnetic field. the magnetic force on the wire is indicated by an arrow but the magnetic field is not shown. of the following possibilities, the direction of the magnetic field is in the direction of f→. out of the page. to the right. into the page. opposite the direction of f→.

Explanation:

Step1: Apply right - hand rule

Use the right - hand rule for the magnetic force on a current - carrying wire $F = I\vec{L}\times\vec{B}$. Point the thumb in the direction of the current $I$, the fingers in the direction of the magnetic field $\vec{B}$, and the palm will point in the direction of the force $\vec{F}$.

Step2: Analyze given directions

Given the current direction and force direction, if we point our thumb in the direction of the current (assume right - hand side in the diagram) and the palm in the direction of the force (downward in the diagram), then the fingers (direction of the magnetic field) point into the page.

Answer:

into the page.