The figure shows a velocity selector that can be used to measure the speed of a

Question

The figure shows a velocity selector that can be used to measure the speed of a charged particle. A beam of particle is directed along the axis of the instrument. A parallel plate capacitor sets up an electric field E, which is oriented perpendicular  to a uniform  magnetic filed B. If the plates are separated by 2.0 mm and the value of the magnetic field is 0.60 T, what voltage between the plates will allow particles of speed 5.0 x 10^5 m/s to pass streight throgh without deflection?

                                                   B into paper

                                 --------------------------------------------------

                                 I        ++++++++++++++++++++         I

                           v    I                                                           I

                        O--->I------------------------------------------------- I----------

                                 I      ----------------------------------------     I

                      +q        --------------------------------------------------

Explanation / Answer

By qvBsin? = qE
=>qvBsin? = qV/d
=>V = vdB {as sin90* = 1}
=>V = 5 x 10^5 x 2 x 10^-3 x 0.60
=>V = 600 Volt

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