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A conductor lies along the ` z`-axis at ` -1.5 le z lt 1.5 m` and carries a fixed current of `10.0 A` in `- hat(a)_(z)` direction ( see figure). For a field `vec(B) = 3.0 xx 10^(-4) e^(-0.2x) hat(a)_(y) T`, find the power required to move the conductor at constant speed to `x = 2.0 m , y = 0 m ` in `5xx 10^(-3)s` . Assume parallel motion along the ` x-axis`. A. 1.57 WB. 2.97 WC. 4.45 WD. 9.87 W |
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Answer» Correct Answer - B Force exerted on curretn carrying conductor (F)=BII Given ,`B =3xx10^(4)e^(0.2x)ay,I=10.0 A` `Average power=(Work done)/(Time taken)` `P=(1)/(5xx10^(-3)intoverset(2)underset(0)int3xx10^(-4)e^(-0.2x)xx10xx3dx` `=9[1-e^(-0.4)]=9[1-(1)/(e^(0.4))]=2.967 W=2.97 W` |
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