Question

8. [8 pts] Crossed electric and magnetic fields are established over a certain region. Derive an equation, in terms of the electric and magnetic field strength, for the speed of an electron traveling through the crossed-fields without deflection.

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Answer #1

Electric field will provide a force = Ee ... force on a charge due to electric field.

Magnetic field will provide a force = evB ... force on a moving charge due to magnetic field.

To pass undeflected

Fe = Fm

Ee = evB

v = E/B ... condition required

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