You wonder if you could support your clothesline by running an electric current

Question

You wonder if you could support your clothesline by running an electric current through it while ir resides in the 0.5 X 10^-4 T magnetic field due to the Eaerth. We'll assume that you are in Costa Rica near the equator, where the field is parallel to the Earth's surface. THe line is to be 10 m long. With the clothes attached, the line's mass is 2.0 kg. What direction should you orient the line and what electric current is needed to support the line? Finally, does this seem like a promising way to support a clothesline? Explain.

Explanation / Answer

direction of line:one end towards east and the other end towards west

direction of current: east to west

F = B*I*L = 0.5*10^-4 * I*10

=> I = 2*9.8/(10*0.5/10000) = 39200 A

here B = 0.5/10000

F = mg = 2*9.8

L = 10

thus its not a promising way due to the huge amount of current needed

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