005 10.0 points In the arrangement shown in the figure, the resistor is 7 ? and

Question

005 10.0 points In the arrangement shown in the figure, the resistor is 7 ? and a 5 T magnetic field is directed into the paper. The separation between the rails is 1 m. An applied force moves the bar to the left at a constant speed of 6 m/s. 5 T 6 m/sbp 5 T At what rate is energy dissipated in the resistor? Assume the bar and rails have negli- gible resistance and friction. Neglect the mass of the bar. Answer in units of W. 006 10.0 points A 5.12 m long steel beam is accidentally dropped by a construction crane from a height of 12.1 m. The horizontal component of the Earth's magnetic field over the region is 242 ?? The acceleration of gravity is 9.8 m/s What is the induced emf in the beam just before impact with the Earth, assum-

Explanation / Answer

Q5.

EMF is given by:

Emf = B*L*v

Power dissipated in resistor is given by:

P = Emf^2/R

P = (B*L*v)^2/R

Using given values:

P = (5 T*1 m*6 m/sec)^2/7

P = 30^2/7

P = 128.57 W

7.

Speed of beam will be just before impact

V^2 = U^2 + 2*g*H

V = sqrt (2*g*H)

V = sqrt (2*9.8*12.1) = 15.4 m/sec

Now induced emf is given by:

Emf = B*L*v

Emf = 24.2*10^-6*5.12*15.4

Emf = 1.91*10-3 V = 1.91 mV

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