Review 2. Velocity Selector You will need to draw your own velocity selector to

Question

Review 2. Velocity Selector You will need to draw your own velocity selector to answer this question. In your V.S., you determine that you need alpha particles (mass 6.68x10-27kg, charge +3.20x10-19C) to move at a constant velocity of 4.97x105 m/s in the + direction. You set up a capacitor to produce an electric field with the top plate 1.00cm above the x-y plane, and the bottom plate 1.00cm below the x-y plane. You produce a magnetic field of B = 1.87T in the + direction. Given this information, what does the voltage of the top plate need to be with respect to the bottom plate? V (Volts) =

Explanation / Answer

From given example,

We can calculate the value of electric field by using velocity selector formula

V = E/B

Therefore, E = V*B

= 4.97x105 * 1.87

= 9.29 x105 V/m

Now,

The distance between two plates is 2 cm (because 1cm above the axis and 1cm below the axis)

So, d = 2 cm

= 2*10-2 m

Therefore potential between two plates is calculate by the formula E = V/d

So, V = E*d

= 9.29 x105 * 2*10-2

= 18.58*103 volts

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