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A 1.45-m-long metal bar is pulled to the right at a steady 5.0 m/s perpendicular

ID: 1469253 • Letter: A

Question

A 1.45-m-long metal bar is pulled to the right at a steady 5.0 m/s perpendicular to a uniform, 0.785-T magnetic field. The bar rides on parallel metal rails connected through R = 26.0-, as shown in the figure (Figure 1) , so the apparatus makes a complete circuit. You can ignore the resistance of the bar and the rails.

Part A:Calculate the magnitude of the emf induced in the circuit.

Express your answer using two significant figures.

E= ???? V

Part B: Calculate the current through the resistor.

Express your answer using two significant figures.

I = ???? A

Explanation / Answer

A 1.45-m-long = L

velocity v = 5.0 m/s

B = 0.785-T magnetic field.

the value of resistance R = 26.0-

Part A :

E = B L v

E = 0.785 X 1.45 X 5

E = 5.69 V

Part B :

current I = E / R

I = 5.69 / 26

I = 0.2188 A