Question

# In the early 1900s, Robert Millikan used small charged droplets of oil, suspended in an electric...

 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 0.79-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 6.0 mm apart. Part A What must the potential difference between the plates be to hold the droplet in equilibrium?

electric force Fe = E*q = (V/d)*q

V = potential difference

d = seperation between plates

gravitational force Fg = -m*g

m = mass of drop = D*V

D = density

V = volume = (4/3)*pi*r^3

r = radius of drop = 0.79/2 = 0.395*10^-6 m

IN equilibrium Fnet = 0

Fe + Fg = 0

(V/d)*q - D*(4/3)*pi*r^3*g = 0

V = D*(4/3)*pi*r^3*g*d/q

V = 860*(4/3)*pi*(0.395*10^-6)^3*9.8*6*10^-3/(1.6*10^-19)

potential difference V = 82 Volts

#### Earn Coins

Coins can be redeemed for fabulous gifts.