A resistor is 4 with a 3 T magnetic field that isdirected into the paper. There

Question

A resistor is 4 with a 3 T magnetic field that isdirected into the paper. There are two rails seperated by 4 m.Neglect the mass of the bar. An applied force moves the bar to the right at a constantspeed of 3 m/s. Assume the bar and rails have negligible resistanceand friction. a) Calculate the applied force required to move the bar to theright at a speed of 3 m/s. Answer in units of N. b) At what rate is energy dissipated in the resistor? Answerin units of W. A resistor is 4 with a 3 T magnetic field that isdirected into the paper. There are two rails seperated by 4 m.Neglect the mass of the bar. An applied force moves the bar to the right at a constantspeed of 3 m/s. Assume the bar and rails have negligible resistanceand friction. a) Calculate the applied force required to move the bar to theright at a speed of 3 m/s. Answer in units of N. b) At what rate is energy dissipated in the resistor? Answerin units of W.

Explanation / Answer

   a.   InducedEMF   E   =   B* v * l * sin            E   =   3* 3 * 4 * sin900   =      36   V          Currentthroughresistor   I   =   E /R   =   36/4   =   9   A          Forceworking on rod   F   =   B* I * l * sin    =   3 * 9 * 4* sin900   =   108   N    b.   Energy dissipiated inresistor per second   P   =   I2* R   =   92 *4   =   324   W

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