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A Conducting Rod Whose Length Is =27.0 cm\ell = 27.0 \mathrm {~cm}

question 130

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A conducting rod whose length is =27.0 cm\ell = 27.0 \mathrm {~cm} is placed on frictionless UU -shaped metal rails that is connected to a lightbulb having a resistance of 5.00Ω5.00 \Omega as shown in the figure. The rails and the rod are in the plane of the page. A constant uniform magnetic field of strength 1.20 T1.20 \mathrm {~T} is applied perpendicular to and out of the paper. An external applied force moves the rod to the right with a constant speed. At what speed should the rod be pulled so that the lightbulb will consume energy at a rate of 1.10 W1.10 \mathrm {~W} ?
 A conducting rod whose length is  \ell = 27.0 \mathrm {~cm}  is placed on frictionless  U -shaped metal rails that is connected to a lightbulb having a resistance of  5.00 \Omega  as shown in the figure. The rails and the rod are in the plane of the page. A constant uniform magnetic field of strength  1.20 \mathrm {~T}  is applied perpendicular to and out of the paper. An external applied force moves the rod to the right with a constant speed. At what speed should the rod be pulled so that the lightbulb will consume energy at a rate of  1.10 \mathrm {~W}  ?   A)   4.26 \mathrm {~m} / \mathrm { s }  B)   3.50 \mathrm {~m} / \mathrm { s }  C)   7.24 \mathrm {~m} / \mathrm { s }  D)   6.00 \mathrm {~m} / \mathrm { s }  E)   2.00 \mathrm {~m} / \mathrm { s }


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