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proton traveling with speed 4 105 m/s in the y direction passes through a region in which there is a uniform magnetic field of magnitude 0.9 t in the z direction.you want to keep the proton traveling in a straight line at constant speed. to do this, you can turn on an apparatus that can create a uniform electric field throughout the region.what electric field should you apply?magnitude: ||



Answer :

The electric field should be applied is 3,694.5 .

As we know from electromagnetic theory we have a relation with electric field and magnetic field with force, which is

F = qE + qv x B

or we can write that

F = qE + qvBsinФ

To allow proton to move with the constant speed, we need to apply zero external force

It means F = 0

or we can write that

qE = -qvBsinФ

putting the appropriate values, we get

E = 4105 x 0.9

E = 3,694.5

Hence the magnitude of the electric field is 3,694.5 .

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