Find the condition under which the charged particles moving with different speeds in the presence of electric and magnetic field vectors can be used to select charged particles of a particular speed.

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Consider a region where a charge q is moving with a speed v. E and B are the Electric and Magnetic fields. v, E and B are perpendicular to each other. If we want to select a particle of velocity v so it must pass undeflected. This means that electric and magnetic forces acting on it are equal and opposite. Electrostatic...
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Consider a region where a charge q is moving with a speed v. E and B are the Electric and Magnetic fields. v, E and B are perpendicular to each other. If we want to select a particle of velocity v so it must pass undeflected. This means that electric and magnetic forces acting on it are equal and opposite. Electrostatic force = qE Magnetic force =qvB qE=qvB => v = E/B read less
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