an electron moves in the plane of paper toward the top of the page .a magnetic field is also in the plane of the page and directed toward the right .what is the direction of the magnetic force on the electron ?
Right hand rule. Up out of the page (remember palm is for a + charge)
Answer
To determine the direction of the magnetic force on the electron, we can use the right-hand rule for magnetic forces. The right-hand rule states that if you point your right thumb in the direction of the velocity of the charged particle (in this case, the electron), and you point your fingers in the direction of the magnetic field, then the direction in which your palm faces will give you the direction of the magnetic force.
In this scenario, the electron is moving toward the top of the page, so you can extend your thumb upward. The magnetic field is directed toward the right, so you can extend your fingers to the right. The palm of your hand will face out of the paper, indicating that the magnetic force on the electron is directed outward, away from the plane of the paper.
To determine the direction of the magnetic force on the electron, we can use the right-hand rule for the cross product of vectors.
1. Extend your right hand and align your thumb, index finger, and middle finger to be perpendicular to each other.
2. Point your index finger in the direction of the electron's velocity, towards the top of the page.
3. Point your middle finger in the direction of the magnetic field, towards the right side of the page.
4. Your thumb will then point in the direction of the magnetic force on the electron.
In this case, the thumb will point out of the plane of the paper, indicating that the magnetic force on the electron is directed towards you (out of the page).