   Chapter 30, Problem 67PE

Chapter
Section
Textbook Problem

Integrated ConceptsProve that the velocity of charged particles moving along a straight path through perpendicular electric and magnetic fields is v = E / B . Thus crossed electric and magnetic fields can be used as a velocity selector independent of the charge and mass of the particle involved.

To determine

To Prove:

That the velocity of charged particles moving along a straight path through perpendicular electric and magnetic fields is v=EB .

Explanation

Given Data:

Given that the velocity of charged particles moving along a straight path through perpendicular electric and magnetic fields is v=EB .

Formula Used:

Force due to electric field is calculated as

FE=qE

Where FE= Force due to electric field

q= Charge

E= Electric Field

d= Separation between the plates

Also, Force due to magnetic field is calculated as

FB=qvB

Where FB= Force due to magnetic field

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