A conducting bar of length moves to the right on two frictionless rails, as show

Question

A conducting bar of length moves to the right on two frictionless rails, as shown in the figure below. A uniform magnetic field directed into the page has a magnitude of 2.90 T. Assume = 38 cm and R = 9.1 .

(a) At what constant speed should the bar move to produce an 8.7 mA current in the resistor?

m/s

(b) At what rate is energy delivered to the resistor?

  mJ/s

A conducting bar of length moves to the right on two frictionless rails, as shown in the figure below. A uniform magnetic field directed into the page has a magnitude of 2.90 T. Assume = 38 cm and R = 9.1 ohm. (a) At what constant speed should the bar move to produce an 8.7 mA current in the resistor? m/s (b) At what rate is energy delivered to the resistor? mJ/s

Explanation / Answer

Magnetic field B = 2.90 T Resistance R = 9.1 Length l = 38 cm = 0.38 m (a) Current I = 8.7 mA = 8.7*10^-3 A Speed v = IR/Bl                = (8.7*10^-3 A* 9.1 )/( 2.90 T *0.38 m)                = 0.0718 m/s (b) Energy delivered rate P = I^2 R                                     = ( 8.7*10^-3 A)^2 ( 9.1 )                                     = 0.688 mJ/s                                                   

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