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A conductor AB of length 10 cm is a distance of 10 cm from an infinitely long parallel conductor carrying 10A. What work must be done to move AB to a distance of 20 cm if it carries 5 A ? |
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Answer» Solution :FORCE on a conductor at a distance ` x= (mu_0 i_1 i_2l)/(2 pi xx)` Work done to displace it through a small distance `"DR" = "force" xx "direction"` `rArr dw = (mu_0 i_1 i_2 l)/(2pir) dr` `w = int_(0.1)^(0.2) = (mu_0 i_1 i_2 l)/(2pir) dr ,` `w = (mu_0 i_1 i_2 l)/(2PI) ["LOG"_e xx]_(0.1)^(0.2)` ` w= (4 pi xx 10^(-7) xx 10 xx 5 xx 10 xx 10^(-2))/(2pi) "log"_e 2` `w = 0.693 xx 10^(-6)J.` |
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