An electron moves with speed 2.46 x 105 m/s in a 1.39-T uniform magnetic field. At one instant, the electron is moving due west and experiences an upward magnetic force of 2.81 x 10−14 N. Caculate the magnetic field (angle).
What is the direction of the magnetic field? Please select which of the following statements are true or false. (If there is more than one possible true answer, find all the possibilities).
South of West
South of East
North of East
North of West
East
North
To determine the direction of the magnetic field, we can use the right-hand rule for a positively charged particle moving in a magnetic field.
According to the given information:
- The electron is moving due west.
- The electron experiences an upward magnetic force.
Using the right-hand rule, we can determine that the magnetic field must be directed out of the page (towards us).
Therefore, the direction of the magnetic field is North of West.
To determine the direction of the magnetic field, we can use the right-hand rule for magnetic force. This rule states that if you point your thumb in the direction of the velocity of a positive charge, and then curl your fingers towards the magnetic field, the direction of the force on the charge will be perpendicular to both your thumb and fingers.
In this case, the electron is moving due west, so if you extend your left hand and point your thumb towards the west, your fingers will curl upward. The magnetic force is acting upward, so the magnetic field must be pointing towards the palm of your hand, which is the north direction. Therefore, the statements "North of East" and "North of West" are both true.