Question

An electron moves in the magnetic field B⃗ = 0.410 i^Twith a speed of 1.50 ×107m/s in the directions shown in the figure. For each, what is magnetic force F⃗ on the electron? (Figure 1)

a) Express vector F⃗ in the form of Fx, Fy, Fz, where the x, y, and z components are separated by commas.
b) Express vector F⃗ in the form of Fx, Fy, Fz, where the x, y, and z components are separated by commas.

Answer 1

When an electron moves in a magnetic field, it experiences a magnetic force. The magnitude of this force can be calculated using the formula F = qvB. To find the components of the force vector, multiply the magnitude by the cosine of the angle between the force vector and each axis.

Step-by-step explanation:

When an electron moves in a magnetic field, it experiences a magnetic force. The magnitude of this force can be calculated using the formula:

F = qvB

Where F is the magnetic force, q is the charge of the electron, v is its velocity, and B is the magnetic field. To find the force vector F in the form of Fx, Fy, Fz, we need to determine the components of the force in the x, y, and z directions. This can be done by multiplying the magnitude of the force by the cosine of the angle between the force vector and each axis.

For example, if the electron is moving in the positive x-direction, the angle between the force vector and the x-axis is 0 degrees, so the x-component of the force is F. The y and z components are both 0.

Answer 2

To calculate the magnetic force on the electron, we use the formula F = q * v * B, where q is the charge of the electron, v is the velocity of the electron, and B is the magnetic field.

Step-by-step explanation:

In order to calculate the magnetic force on the electron, we can use the formula F = q * v * B, where F represents the force, q is the charge of the electron, v is the velocity of the electron, and B is the magnetic field.

Given that the velocity of the electron is 1.50 × 10^7 m/s and the magnetic field is 0.410 T, we can calculate the force:

F = (1.6 x 10^-19 C) * (1.50 × 10^7 m/s) * (0.410 T)

Using these values, we find that the magnitude of the force on the electron is 1.0984 x 10^-12 N.