Find the direction and magnitude of the minimum velocity of charge q = +2e that will produce the magnetic force F shown in the figure below. (Measure the angle counterclockwise from the x axis in the xz plane. Take the magnitudes of F as 1.96 x 10-11 N and the magnitude of B as 2.19 T.) magnitude direction
Find the direction and magnitude of the minimum velocity of charge q = +2e that will produce the magnetic force F shown in the figure below. (Measure the angle counterclockwise from the x axis in the xz plane. Take the magnitudes of F as 1.96 x 10-11 N and the magnitude of B as 2.19 T.)
magnitude | |
direction |
![45.0°](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F46a4dff8-7f9e-4127-9d1e-ef0349b76ae2%2Fce7e4932-09c8-4d96-b093-066aca89dd69%2Fkpfuu73_processed.jpeg&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Given:
Solution:
We know that, the force F is perpendicular to the velocity 'v' and magnetic force 'B'.
Let us consider velocity is perpendicular to magnetic field and electric field , therefore velocity 'v' is counter-clockwise from x-axis in x-z plane and the direction of particle is along :
Consider the following equation:
Substituting the given values in above equation, we get:
Re-arranging the above equation:
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