- Tx -xxxx-x\' xx Collector Plate A particle with unknown mass and charge is pro

Question

- Tx -xxxx-x' xx Collector Plate A particle with unknown mass and charge is projected into the apparatus shown above. The particle moves with constant speed v as it passes undeflected through a pair of parallel plates. The plates are separated by a distance d, and a constant potential difference V is maintained between them. A uniform magnetic field of magnitude B directed into the page exists both in the region between the plates and in the region to the right of the plates that is enclosed by the dashed lines. In the region to the rightof the plates, the particle's path is circular with radius r. Assume the effects of gravity are negligible compared to other forces Explain why the particle moves through the parallel plates undeflected in terms of the forces exerted on the particle a. b. What is the sign of the charge on the particle? Justify your answer.

Explanation / Answer

1)

a)

Charge particle moves undeflected because electric and magnetic force and velocity is perpendicular to each other.

so it balances the direction of velocity of charge particle.

b)

The sign of the charge particle is negative because here the direction of electric force is opposite to the direction of electric field applied through battery.

c) since the particle travelled undeflected so we know that

qE=qvB

v= E/B

So,

E= v*B

put the values from question

here

E = electric field

B = magnetic field

v = velocity of particle

So

E = 0.30*2*10^6

E = 6 * 10^5 N/C

And we know that

E = V/d

here E = electric field

V =potential diffrence between plates

d = distance between plates

so V = E*d

V = 6 * 10^5 N/C * 5*10^-3m

V = 3000volts

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