21-13 13) Stainless-steel poles were arranged by an artist for the purpose of pr

Question

21-13

13) Stainless-steel poles were arranged by an artist for the purpose of producing an enhanced display of lightning in a field of nearly one square mile. Calculate the magnetic force on one of these poles, 6.30 m long, when it transmits an upward current of 2.00 x 10^4 A during a lightning discharge. The magnetic field in New Mexico, where the rods are located, dips 64 degrees below the horizontal and has a horizontal component of magnitude 2.5 x 10^-5 T.

Answer is 3.15 N directed west. Can you explain how to get this?

Explanation / Answer

relationship between magnetic field B and magnetic force F is given by F = ilBsin theta

where i = current and l - length of the conductor, here theta =90 deg

now F = 20000* 6.3 * 2.5*10^-5

F = 3.15 N

this force willbe directed towards west as accordingly from right hand rule

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