Homework 3 Problem 20.63- Enhanced - with Feedback ) 10 of 10 > Part A Lightning

Question

Homework 3 Problem 20.63- Enhanced - with Feedback ) 10 of 10 > Part A Lightning As a crude model for lightning, consider the ground to be one plate of a parallel-plate capacitor and a cloud at an altitude of 550 m to be the other plate. Assume the surface area of the cloud to be the same as the area of a square that is 0.40 km on a side. (Dielectric strength of air is 3.0 x 10 V/m) You may want to review (Pages 712-718) What is the capacitance of this capacitor? Express your answer using two significant figures. C- Anmen RemutAn Submit Incorrect; Try Again; 5 attempts remaining Part B How much charge can the cloud hold before the dielectric strength of the air is exceeded and a spark (lightning) results? Express your answer using two significant figures Q-

Explanation / Answer

1)
C = S / d
C = 8.85x10^-12*3.6x10^5 / 5.50x10^2 = 5.792x10^-9 F

2)
E < K [Dielectric strength]
q / (C d) < K
q < K C d
q < 3x10^6 *5.792x10^-9*5.50x10^2 = 9.5568 C

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