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Asked Nov 8, 2019
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29.33     A 0.250-m-long bar moves on parallel rails that are connected through a 6.00-Ohm resistor, as shown in Fig. E29.33, so the apparatus makes a complete circuit.  You can ignore the resistance of the bar and rails.  The circuit is in a uniform magnetic field B = 1.20 T that is directed out of the plane of the figure.  At the instant when the induced current in the circuit is counterclockwise and equal to 1.75 A, what is the velocity of the bar (magnitude and direction)?

Figure E29.33
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Step 1
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Given Info: The length of the metal bar is 0.250 m. The resistance (R) is 6.00 2. The magnitude of the uniform magnetic field (B) is 1.20 T. The induced current (I) in the circuit is 1.75 A.

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Step 2
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Formula to calculate the motional electromotive force is, Eind = vBL v is the conductor speed, Bis the magnitude of the uniform magnetic field, L is the conductor length Formula to calculate the current through the bar is, I = ad Eind is the magnitude of motional electromotive force, Ris the resistance connected to the parallel rails.

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Substitute vBL for End to find I. I = »BL Rearrange the above equation as follows, IR BL Substitute 1.75 A for I, 1.20 T for B, 0.250 m for L and 6.00 2 for R to find v (1.75 A) (6.00 2) |(1.20 T)(0.250 m)

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Current Electricity

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