Calculating Magnetic Force & Accel. of an Electron in VT

B is the magnetic field. The direction of the force can be determined using the right hand rule. To find the acceleration, use Newton's second law, F = ma, where m is the mass of the electron. In summary, Using the given information, we can calculate the force acting on an electron shot vertically upward in Vermont to be 1.456 x 10^-26 N directed eastward. This will cause an acceleration of 1.6 x 10^12 m/s^2. If the electron is shot horizontally northward, the force will be 2.56 x 10^-27 N directed
  • #1
thereddevils
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Homework Statement



In Vermont the dip angle for the Earth's magnetic field(the angle the field lines make with the horizontal) is 74 degree and the component of the field parallel to the Earth's surface is 0.16G. If an electron is shot with a speed 10^6 m/s vertically upward there, how large a force acts on the electron and what is the direction of the force? How large an acceleration will this force cause?

Repeat the problem if the electron is shot horizontally northward.

mass of electron = 9.1 x 10^(-31) kg and 1G=10^(-4)T

Homework Equations





The Attempt at a Solution



some hints to get me started. Thanks.
 
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  • #2
Try using F = qv x B
 

1. What is the equation for calculating magnetic force on an electron in a vacuum tube?

The equation for calculating magnetic force on an electron in a vacuum tube is F = qvB, where F is the force, q is the charge of the electron, v is the velocity of the electron, and B is the magnetic field strength.

2. How do you calculate the acceleration of an electron in a vacuum tube?

To calculate the acceleration of an electron in a vacuum tube, you can use the equation a = F/m, where a is the acceleration, F is the magnetic force calculated using the equation above, and m is the mass of the electron.

3. What is the unit for magnetic force and acceleration of an electron in a vacuum tube?

The unit for magnetic force on an electron in a vacuum tube is Newtons (N), and the unit for acceleration is meters per second squared (m/s^2).

4. How does the velocity of an electron affect the magnetic force and acceleration in a vacuum tube?

The velocity of an electron has a direct impact on the magnetic force and acceleration. As the velocity increases, the magnetic force and acceleration also increase. This is because the force is directly proportional to the velocity of the electron.

5. Can the magnetic force and acceleration of an electron in a vacuum tube be negative?

Yes, the magnetic force and acceleration of an electron in a vacuum tube can be negative. This occurs when the direction of the magnetic field is opposite to the direction of the electron's velocity. In this case, the force and acceleration will have a negative value, indicating that they act in the opposite direction of the electron's motion.

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