PROBLEM (a) The sliding bar in the figure has a length of 0.500 m and moves at 2

Question

PROBLEM (a) The sliding bar in the figure has a length of 0.500 m and moves at 2.00 m/s in a magnetic field of magnitude 0.250 T. Using the concept of motional emf, find the induced voltage in the moving rod. (b) If the resistance in the circuit is 0.500 ?, find the current in the circuit and the power delivered to the resistor. (Note: The current in this case goes counterclockwise around the loop.) (c) Calculate the magnetic force on the bar. (d) Use the concepts of work and power to calculate the applied force.

PRACTICE IT Use the worked example above to help you solve this problem. (a) The sliding bar in the figure has a length of 0.544 m and moves at 2.27 m/s in a magnetic field of magnitude 0.261 T. Using the concept of motional emf, find the induced voltage in the moving rod (b) If the resistance in the circuit is 0.656 , find the current in the circuit and the power delivered to the resistor. (Note: The current, in this case, goes counterclockwise around the loop.) (c) Calculate the magnetic force on the bar. magnitude direction -Select ? (d) Use the concepts of work and power to calculate the applied force. IN EXERCISE HINTS: GETTING STARTED | I'M STUCK! Suppose the current suddenly increases to 1.29 A in the same direction as before, due to an increase in speed of the bar. (Use the information from the PRACTICE IT part.) (a) Find the emf induced in the rod. (b) Find the new speed of the rod. m/s

Explanation / Answer

1. (a) EMF = B*L*V = 0.250 T* 0.500 m* 2 m/s = 0.250 Volts

(b) I = EMF/ R = 0.250 volts / 0.5 ohms = = 0.5 A

P = EMF*I = 0.250*0.5 = 0.125 W

(c) Force = B*I*L = 0.250*0.5*0.5 = 0.0625 N

(d)applied force will be equal to = 0.0625 N

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