Assume that a honeybee is a sphere of diameter 1.000 cm with a charge of +42.0 p

Question

Assume that a honeybee is a sphere of diameter 1.000 cm with a charge of +42.0 pC uniformly spread over its surface. Assume also that a spherical pollen grain of diameter 35.0 micro meters is electrically held on the surface of the sphere because the bee's charge induces a charge of -1.00 pC on the near side of the sphere and a charge of +1.00 pC on the far side.

What is the magnitude of the net electrostatic force on the grain due to the bee? IN NEWTONS

Next, assume that the bee brings the grain to a distance of 1.000 mm from the tip of a flower's stigma and that the tip is a particle of charge -39.0 pC. What is the magnitude of the net electrostatic force on the grain due to the stigma? IN NEWTONS

Explanation / Answer

here,

radius of honeybee sphere= Rs = 1/2 = 0.5/100 = .005 m

charge on surface sphere= Qs = 42pC = 4.2*10^-11 C

charge induced by pollen on near side = Qpn = -1 pC = -10^11 C

charge induced by pollen on Far side = Qpf = 1 pC = 10^11 C

Radius of pollen = Rp = 35 um = 3.5*10^5 m

NOW,

As we know Electroctatic force is given by

F = KQ1Q2/r^2

Net Electrostatic Force = Fnear + Ffar

Fnet = KQs*Qpn/Rn^2 + KQs*Qf/Rf^2

Fnet = 9*10^9*( ( (4.2*10^-11*-10^11) / .005^2 ) + ((10^11 * 4.2*10^-11) / (.005*2)^2 ) )

Fnet = -1.134*10^15 N/C

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