Two circular disks spaced 0.50 mm apart form a parallel-plate capacitor. Transfe

Question

Two circular disks spaced 0.50 mm apart form a parallel-plate capacitor. Transferring 1.60 ×109electrons from one disk to the other causes the electric field strength to be 1.30 ×105N/C.

Part A

What are the diameters of the disks?

Express your answer with the appropriate units.

Two circular disks spaced 0.50 mm apart form a parallel-plate capacitor. Transferring 1.60 ×109electrons from one disk to the other causes the electric field strength to be 1.30 ×105N/C.

Part A

What are the diameters of the disks?

Express your answer with the appropriate units.

Explanation / Answer

given,

space between disks = 0.5 mm

charge = 1.6 * 10^9 * 1.6 * 10^-19 C

electric field = 1.3 * 10^5

charge = capacitance * voltage

charge = capacitance * electric field * distance

1.6 * 10^9 * 1.6 * 10^-19 = capacitance * 1.3 * 10^5 * 0.5 * 10^-3

capacitance = 3.9384615 * 10^-12

capacitance = k * pi * diamater^2 / 4 * distance

3.9384615 * 10^-12 = 8.854 * 10^-12 * pi * diameter^2 / (4 * 0.5 * 10^-3)

diameter = 0.0168 m

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