Problem 20.61 5 of 13 Constants| Periodic Tabl Part A Lightning As a crude model

Question

Problem 20.61 5 of 13 Constants| Periodic Tabl Part A Lightning As a crude model for lightning the ground to be one plate of a parallel-plate capacitor and a cloud at an altitude of 690 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 0.60 km on a side. (Dielectric strength of air is 3.0 x 106 V/m) , consid What is the capacitance of this capacitor? Express your answer using two significant figures Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining Part B How much charge can the cloud hold before the dielectric strength of the air is exceeded anda spark (lightning) results? Express your answer using two significant figures

Explanation / Answer

1)
C = S / d
C = 8.85x10^-12*3.6x10^5 / 6.9x10^2 = 4.617x10^-9 F

2)
E < K [Dielectric strength]
q / (C d) < K
q < K C d
q < 3x10^6 *4.617x10^-9*6.9x10^2 = 9.557 C

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