In the early 1900s, Robert Millikan used small charged droplets of oil, suspended in an electric field, to make the first quantitative measurements of the electron’s charge. A 0.80-μm-diameter droplet of oil, having a charge of +e, is suspended in midair between two horizontal plates of a parallel-plate capacitor. The upward electric force on the droplet is exactly balanced by the downward force of gravity. The oil has a density of 860 kg/m3, and the capacitor plates are 4.5 mm apart. What must the potential difference between the plates be to hold the droplet in equilibrium?

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Chapter1: Units, Trigonometry. And Vectors
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In the early 1900s, Robert Millikan used small charged droplets of oil, suspended in an electric field, to make the first quantitative measurements of the electron’s charge. A 0.80-μm-diameter droplet of oil, having a charge of +e, is suspended in midair between two horizontal plates of a parallel-plate capacitor. The upward electric force on the droplet is exactly balanced by the downward force of gravity. The oil has a density of 860 kg/m3, and the capacitor plates are 4.5 mm apart.

What must the potential difference between the plates be to hold the droplet in equilibrium?
 
Expert Solution
Step 1: Given

D i a m e t e r space o f space d r o p l e t colon
D equals 0.80 cross times 10 to the power of negative 6 end exponent space m

C h a r g e space o n space d r o p l e t colon
e equals 1.6 cross times 10 to the power of negative 19 end exponent space C

D e n s i t y space o f space d r o p l e t colon
rho equals 860 space k g divided by m cubed

D i s tan c e space b e t w e e n space p l a t e s colon
d equals 4.5 space m m equals 4.5 cross times 10 to the power of negative 3 end exponent space m

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