A particle that has a charge of 6.0 μC moves with a velocity of magnitude 5 × 105 m/s along the +x axis. It experiences no magnetic force, although there is a magnetic field present. The maximum possible magnetic force that the charge with the given speed could experience has a magnitude of 0.380 N. Find the magnitude and direction of the magnetic field. Note that there are two possible answers for the direction of the field.

and possible directions are +x axis and -x axis .  

Explanation:

Given :

Charge ,

Velocity , .

Maximum possible magnetic force ,

We know, Maximum force

Putting all values we get ,

Now , it is given that no force is applied in the charge .

Therefore, magnetic field must be parallel to it.

It can only happen in two ways , when field is along +x axis or -x axis .

Hence, this is the required solution.

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