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Consider the specific example of a positive charge q moving in the +x direction with the local magnetic field in the +y direction. In which direction is the magnetic force acting on the particle?

Respuesta :

Kazeemsodikisola

Answer:

Explanation:

The positive charge is moving in the positive direction, this shows that the velocity of the charges is in the positive direction where the charge is moving,

Therefore,

V is in the positive x-direction

V=Vi

The magnetic field is in the positive y-direction

B=Bj

Then,

Force in magnetic field is given as

F=q V × B

Where V and B are cross products

But note that

i×i=j×j=k×k=0

Also,

i×j=k, j×k=i, k×i=j, j×i=-k, k×j=-i, i×k=-j

Then, now applying this,

F= q V × B

F= q V i × B j

Then, since i×j=k

F=qVB •k

Then, the magnetic force is pointing in the positive z direction.

Check attachment for the directions

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