Lightning bolt charge physics problem

[seraphimhouse]

Homework Statement

A lightning bolt carrying 30,000 A lasts for 50 microseconds. If the lightning strikes an airplane flying at 20,000 ft, what is the charge deposited on the plane?

Homework Equations

q(t) = \int i(x)dx

The Attempt at a Solution

So, using the equation above I found the charge of the lightning bolt to be 30,000A * 50 x 10^-6

q(t) = 1.5 c

Then to find charge of the airplane
q(t) = \int 20,000dx from 0 to 50 microseconds

q(t) = 20,000x
q(t) = 20,000 (50 x 10^-6) = 1

I'm a bit rusty on my physics as you can see. Maybe someone can direct me to a more precise approach. Thank you

 

[cupid.callin]

x is not time i guess

 

[seraphimhouse]

i could find the charge of the lightning bolt by q = it given i = 30,000 A and t = 50 x 10^-6 s

q = 30,000A) * (50 x 10^-6 s) = 1.5 C

but how can I find the charge deposited onto the plane at 20,000 feet?