te: Please show all your work. Points offered to each problem with correct answe

Question

te: Please show all your work. Points offered to each problem with correct answers and all relevant work shown. 1. 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 20-2 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? (H0 4xx 10-7 T m/A) (6 pts) 0.20 m - 0.90 m/s 70 A 02 0.20m

Explanation / Answer

The magnetic field due to long straight wire is

B=uoI/2pid =(4pi*10-7)*70/2pi*0.2 =7*10-5 T

Induced Voltage

E=BLv =7*10-5*0.2*0.9 =1.26*10-5 Volts

Induced current

I=E/R =1.26*10-5/20

I=6.3*10-7 A or 0.63 uA

Direction is from a to b

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