You've decided to protect your house by placing a 5.3-mm-tall iron lightning rod next to the house. The top is sharpened

[answerhappygod]

You've decided to protect your house by placing
a 5.3-mm-tall iron lightning rod next to the house. The
top is sharpened to a point and the bottom is in good contact with
the ground. From your research, you've learned that lightning bolts
can carry up to 55 kA of current and last up to
50 μs.
How much charge is delivered by a lightning bolt with these
parameters?
You don't want the potential difference between the top and
bottom of the lightning rod to exceed 140 V . What
minimum diameter must the rod have?