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MIRA’s boardPhysics
eV = ½ m v²

An electron is accelerated through a potential difference V and enters a magnetic field B. What is the radius of its circular path?

Energy gained = kinetic energy, so v = √(2eV/m).

Magnetic force = centripetal force: mv²/r = evB, so r = mv/(eB).

Substituting v, r = √(2Vm / eB²).

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