Measurements made during severe electrical storms reveal that lightning bolts ca
ID: 1532014 • Letter: M
Question
Measurements made during severe electrical storms reveal that lightning bolts can carry as much as 30 C of charge and can travel between a cloud and the ground in time intervals of around 100 s (and sometimes even shorter). Potential differences have been measured as high as 400 million volts.
Cumulative Problem 4-Current 1 2 3 4 Measurements made during severe electrical storms reveal that lightning bolts can carry as much as 30 C of charge and can travel between a cloud and the ground in time intervals of around 100 Aus (and sometimes even shorter). Potential differences have been measured as high as 400 million volts. 1) What is the current in such a lightning strike? (Express your answer to two significant figures. A submit You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. 2) What is the resistance of the air during such a strike? (Express your answer to two significant figures.) kn submit You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. 3) How much energy is transferred during a severe strike? (Express your answer to two significant figures.) J submit You currently have submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. 4) What mass of water at 1000 C could the lightning bolt in part (3) evaporate? The latent heat of vaporization of water at 100°C is Lvi 2260 kJ/kg. (Express your answer to two significant figures.) 103 kg submit You currently have o submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question.Explanation / Answer
1)
current = I = Q/t = 30/(100*10^-6) = 0.3 MA
2)
resistance R = dV/I = 400*10^6/(0.3*10^6) = 1.33 K ohm
3)
energy E = I^2*R = (0.3*10^6)^2*1333.33 = 1.2*10^5 GJ
4)
E = m*L
m = E/L = (1.2*10^14)/(2260*10^3) = 53097*10^3 kg