6.) A charged particle, passing through a certain region of space, has a velocit

Question

6.) A charged particle, passing through a certain region of space, has a velocity whose magnitude and direction remain constant.

            (a) If it is known that the external electric field is zero everywhere in this region, can you conclude that the external magnetic field is also zero? Explain clearly.

            (b) If it is known that the external magnetic field is zero everywhere in this region, can you conclude that the external electric field is also zero? Explain clearly.

Ignore the effects of any other fields or forces present, if any.

Explanation / Answer

a) as the charge is moving straight though , the force acting on the particle must be zero , as there is no electric field , electric force must be zero . for zero force

magnetic force must be zero , this is possible if the particle is moving parallel to magnetic field or there is no external magnetic field.

hence , we can't say for sure that there is no magnetic field

b)

as the charge is moving straight though , the force acting on the particle must be zero.

Yes , we can conclude this , as the magnetic field field is zero , the magnetic force must be zero and for zero net force , electric field must be zero as well

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