A 1.50 cm by 1.50 cm parallel-plate capacitor has a 2.0 mmspacing. the electric
ID: 1750637 • Letter: A
Question
A 1.50 cm by 1.50 cm parallel-plate capacitor has a 2.0 mmspacing. the electric field stregth inside the capacitor is 1.00 x10^5 V/m. (E0=8.85 x 10^-12 C^2/Nm^2) What is the surface charge density on the capacitor plates?show your work. please show me every single steps to final answer. A 1.50 cm by 1.50 cm parallel-plate capacitor has a 2.0 mmspacing. the electric field stregth inside the capacitor is 1.00 x10^5 V/m. (E0=8.85 x 10^-12 C^2/Nm^2) What is the surface charge density on the capacitor plates?show your work. please show me every single steps to final answer.Explanation / Answer
Second. find the capacitor value, C = A/d: Ais (.015) ^2 m^2 or 225E-6 m^2. d is 2E-03, and is given as 8.854 pF per meter. Note is it given indiffrerent units, but this is the same. p is pico, 10^-12 .So C = (8.854 * 225E-6)/2E-3 or 0.996 pf.
Third, compute the charge: Q=CV: Q = 199E-12coulombs.
Lastly, charge density is Q/A: 199E-12/2E-3 is 100 E-9coulomb/m^2
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