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Each of the lettered points at the corne...

Each of the lettered points at the corners of the cube as shown in Fig. 1.60 represents a positive charge q moving with a velocity of magnitude v in the direction indicated. The region in the figure is in a uniform magnetic field `vec B`, parallel to the x-axis and directed toward right. Copy the figure, find the magnitude and direction of the force on each charge and show the force in your diagram.

Text Solution

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Figure. Let `F_0=qvB`, then:
`F_a=F_0` in the `-hatk` direction
`F_b=F_0` in the `+hatj` direction
`F_c=0`, since magnetic field and velocity are parallel
`F_d=F_0 sin 45^@` in the `-hatj` direction
`F_e=F_0` in the ` -(hatj+hatk)` direction
.
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