Classical Mechanics (Kibble & Berkshire) · Problem 4.20

Linear oscillations — T.W.B. Kibble, F.H. Berkshire

Physics — Mechanics · resisted-motion-millikan-experiment

Problem

Millikan's experiment A microscopic spherical oil droplet, of density ρ\rho and unknown radius, carries an unknown electric charge. The droplet is observed to have terminal speed v1v_1 when falling vertically in air of viscosity μ\mu. When a uniform electric field E0E_0 is applied in the vertically upwards direction, the same droplet was observed to move upwards with terminal speed v2v_2. Find the charge on the droplet. [Use the low Reynolds number approximation for the drag.]

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