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A Long Vertical Wire Carries a Steady 70 a Current

question 76

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A long vertical wire carries a steady 70 A current. As shown in the figure, a pair of horizontal rails are 0.20 m apart. A 20-Ω resistor connects points a and b, at the end of the rails. A bar is in contact with the rails, and is moved by an external force with a constant horizontal velocity of 0.90 m/s to the right, as shown. The bar and the rails have negligible resistance. At the instant that the bar is 0.20 m from the wire, what are the induced current in the resistor and its direction through the resistor? (μ0 = 4π × 10-7 T ∙ m/A) A long vertical wire carries a steady 70 A current. As shown in the figure, a pair of horizontal rails are 0.20 m apart. A 20-Ω resistor connects points a and b, at the end of the rails. A bar is in contact with the rails, and is moved by an external force with a constant horizontal velocity of 0.90 m/s to the right, as shown. The bar and the rails have negligible resistance. At the instant that the bar is 0.20 m from the wire, what are the induced current in the resistor and its direction through the resistor? (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A)    A)  0.63 μA, from a to b B)  0.63 μA, from b to a C)  0.32 μA, from a to b D)  0.32 μA, from b to a E)  1.9 μA, from b to a


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