Two very large parallel plates have charge per unit area +1.8 μC/m2 and −1.8 μC/m2, respectively....
Two very large parallel plates have charge per unit area +1.8 μC/m2 and −1.8 μC/m2, respectively. A small grain of pollen of mass m = 210 mg and charge q hangs by a slender thread as shown in the figure below. If the thread makes an angle θ = 33° with the vertical direction, what is q?
Homework Answers
σ = 1.8 uC/m^2
Electric field between plates, E = σ /εₒ
E = (1.80*10^-6)/ 8.85*10^-12
E = 2.03 * 10^5 N/C
Electric force (horizontal) on q , Fh = q*E
Fh = q*(2.03 * 10^5)
Vertical force on pollen, Fv = mg = 210 * 10^-6 * 9.80 N
Fv = 2.058 *10^-3 N
tan(θ) = Fh/Fv
tan(33) = [q*(2.03 * 10^5)] / [2.058 *10^-3]
q = 6.58 * 10^-9 C
q = 6.58 nC
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