A mass spectrometer is shown in the picture, the magnetic field has the same val

Question

A mass spectrometer is shown in the picture, the magnetic field has the same value everywhere and is into the page.

a) a positive charge particle passess straight up through the velocity selector. Draw a free body diagram showing the required directions of the magetic and electrical forces if they must cancel each other. In which direction must the electric field point?

A mass spectrometer is shown in the picture, the magnetic field has the same value everywhere and is into the page. a positive charge particle passess straight up through the velocity selector. Draw a free body diagram showing the required directions of the magetic and electrical forces if they must cancel each other. In which direction must the electric field point?

Explanation / Answer

the free body diagram consists of two forces

1) magnetic force:: towards the left

2) electric force :: towards the right

so q*E=q*vB

==> E=vB

so the electric field must be in the rightward direction if they must cancel each other

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