1) A device called a velocity selector containscrossed electric and magnetic fie

Question

1) A device called a velocity selector containscrossed electric and magnetic fields. It is designed to transmitparticles with velocity v entering the device perpendicularly to both the electric andmagnetic fields without deflection. The magnetic field is createdby permanent magnets and is uniform with a constant magnitude of0.10 T.
(a) What magnitude of electric field would beneeded to transmit a beam of protons moving at 2.0 ×105 m/s withoutdeflection? (Ans: 2.0 x10^ 4 V/m ) (b) Is this device sensitive to the charge andmass of the particles? PLEASE EXPLAIN(Ans:No) 1) A device called a velocity selector containscrossed electric and magnetic fields. It is designed to transmitparticles with velocity v entering the device perpendicularly to both the electric andmagnetic fields without deflection. The magnetic field is createdby permanent magnets and is uniform with a constant magnitude of0.10 T.
(a) What magnitude of electric field would beneeded to transmit a beam of protons moving at 2.0 ×105 m/s withoutdeflection? (Ans: 2.0 x10^ 4 V/m ) (a) What magnitude of electric field would beneeded to transmit a beam of protons moving at 2.0 ×105 m/s withoutdeflection? (Ans: 2.0 x10^ 4 V/m ) (b) Is this device sensitive to the charge andmass of the particles? PLEASE EXPLAIN(Ans:No)

Explanation / Answer

B = 0.10 T, v = 2.0*105 m/s, a) v = E/B, so E = vB = 2.0*104 V/m b) qE = qvB, so E = vB, it is independent of mass or charge ofparticles, so this device is NOT sensitive to the charges andmass.

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