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Velocity selector

Magnetic field and forces · Physics

DC circuit

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Electrons drift around the loop — raise the voltage and watch the current obey Ohm's law.

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Study notes

Problem: A velocity selector has an electric field magnitude of 100 V/m and a magnetic field magnitude of 0.5 T. What is the velocity of a charged particle that passes through undeflected? Steps: 1. Identify the condition for undeflected motion: The electric force (Fe) must equal the magnetic force (Fb). Therefore, qE = qvB. 2. Cancel the charge (q) from both sides since it is common to both forces. This gives E = vB. 3. Rearrange the formula to solve for velocity (v): v = E / B. 4. Substitute the given values: E = 100 V/m and B = 0.5 T. 5. Calculate: v = 100 / 0.5 = 200 m/s. Answer: The velocity of the particle is 200 m/s.

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