Calculating Magnetic Force on a Lightning Rod: Homework Question [Answer Inside]

AI Thread Summary
The discussion revolves around calculating the magnetic force on a segment of a lightning rod during a lightning strike, with a peak current of 250 kA. The magnetic field strength is determined to be 5.01 T. To find the magnetic force, the formula F = I * (integral(dl) x B) is used, where the current is derived by multiplying current density by the width dx. The main challenge highlighted is understanding how to incorporate the width dx into the calculations. The thread emphasizes the need for clarity on integrating these variables to solve the problem effectively.
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Homework Statement


Lightning strikes a lightning rod that is a thin, hollow cylinder with a radius of 1.0 cm with a peak current of 250 kA.
What is the magnetic force on an infinitesimal segment (vertical line) of current of width dx and
length L? [3]


Homework Equations


F = I[integral](dl)xB


The Attempt at a Solution



I calculated the magnetic field strength of B = 5.01 T
I'm not really sure how to start this? How do I incorporate the width dx?
 
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How do I incorporate the width dx?
You get the current if you multiply the current density by dx.
 
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