5.00-uF parallel plate capacitor has air between the plates. When an insulating

Question

5.00-uF parallel plate capacitor has air between the plates. When an insulating material is placed between the plates, the capacitance increases to 13.5 F. Find the dielectric constant of the insulator. Can you identify what is the material comprising the insulator? 2. 3. The bottom of a cumulonimbus cloud is 25.0 km2 and is 1.00 km above the surface of the earth. Consider the cloud and earth to be a parallel-plate capacitor. a. Look up and report the dielectric constant and dielectric strength of air. What do you assume about the air? b. Find the capacitance of the cloud-earth system Find the potential difference between the cloud and the earth when lightning occurs c. d. Calculate the charge that must be on the bottom of the cloud whern lightning occurs.

Explanation / Answer

2. C = e0 er A / d

and C' / C = er' / er

13.5 / 5 = er / 1

er = 2.7 ........Ans

3. (A) dielectric constant of air = 1.00059

strength = 3 kV/mm or 3 x 10^6 V/m

(b) C = e0 er A / d

C = (8.854 x 10^-12)(1)(25 x 10^6 m^2) / (1000 m)

C = 2.2135 x 10^-7 F

(c) strength = V/d = 3 x 10^6

V = (3 x 10^6)(1000) = 3 x 10^9 Volt

(D) Q = C V = 664 C

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