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Two 2.0-cm-diameter disks face each other, 1.0mm apart. They are charged to +/- 10nC.?

What is the electric field strength between the disks?A proton is shot from the negative disk toward the positive disk. What launch speed must the proton have to just barely reach the positive disk?

3 Answers

The electric field between the plates is E = σ/εo… where σ = area charge distribution = 10X10^-9/(π*(0.010m)^2) = 3.183×10^-5C/m^2and εo = 8.854×10^-12C^2/N-m^2So E = 3.183×10^-5C/m^2/8.854×10^-12C^2/N-m^2 = 3.60×10^6N/CUsing conservation of energy we solve the second part(K + U) b = (K + U)t…Here Ut – Ub = q*(Vt – Vb)…and Vt – Vb = E*d = 3.60×10^6V/m*1.0×10^-3m = 3595VSince Kt = 0 we have Kb = q*E*d = 1.60×10^-19C*3595 = 5.75×10^-16JSo 1/2*m*v^2 = 5.75×10^-16JTherefore v = sqrt(2*5.75×10^-16J/m) = sqrt(2*5.75×10^-16J/1.67×10^-27kg) = 8.30×10^5m/s... Show More
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