Please show all work as to why the answer is A. Thanks! 5.) [3 noints] The figur

Question

Please show all work as to why the answer is A. Thanks!

5.) [3 noints] The figure below shows a so-called velocity selecting instrument that can be used to measure the speed of a charged particle. Suppose a beam of electrons is directed along the axis of the instrument straight into it with velocity v. A parallel plate capacitor sets up an electric field E inside the instrument, which is oriented perpendicular to a uniform magnetic field B of magnitude 0.60T (directed perpendicularly into the paper). If the particles are moving with speed 5.0x10m/s, what must the electric field E be so that the particles pass straight through without deflection? Tube (cutaway x x * x x B (into paper) view Capacitor plates b.) 1.5x10V/m, directed from the bottom capacitor plate towards the top c.) 6.0x105V/m, directed from the top capacitor plate towards the bottom d.) 9.0x10 V/m, directed from the bottom capacitor plate towards the top e.) none of these

Explanation / Answer

Here ,

B = 0.60 T

v = 5 *10^5 m/s

Now, for the net force to be zero

q V X B + q * E = 0

- V X B = E

E = 0.60 * 5 *10^5 down

E = 3 *10^5 V/m down

the correct answer is a) 3 * 10^5 V/m , directed from the top capacitor plate towards the bottom

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