Paper has a dielectric constant K = 3.7 and a dielectric strength of 15 Times 10

Question

Paper has a dielectric constant K = 3.7 and a dielectric strength of 15 Times 10^8 V/m. Suppose that a typical shoot of paper has a thickness of 0.11 mm. You make a "homomade" capacitor by placing a shoot of 23 Times 13 cm paper between two aluminum for sheets(Figure 1) of the same size. What is the capacitance C of your device? Express your answer to two significant figures and include the appropriate units. About how much charge could you store on your capacitor before it would break down? Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

C = (k*A*eo)/d
C = (3.7 * 0.23 * 0.13 * 8.85 * 10^-12)/(0.11*10^-3)
C = 8.9 * 10^-9 F
C = 8.9 nF

Let max Charge that can be stored in the Capacitor is, Qmax
Qmax = C*V
Qmax = 8.9 * 10^-9 * 15.0 * 10^6 * 0.11 * 10^-3
Qmax = 1.46 * 10^-5 C

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