A conducting rod ab makes contact with metal rails as shown in the figure to the
ID: 2260512 • Letter: A
Question
A conducting rod ab makes contact with metal rails as shown in the figure to the right. The apparatus is in a uniform magnetic field B= 1.20 T, perpendicular to the plane of the "loop" and directed into the page.
(a) Calculate the magnetic flux through this loop with fixed dimensons fo width (W) and length (L) given as in the figure.
(b) Now the rod ab is pulled to the right. Find the magnetiude of the emf induced in the loop when the rod is moving to the right with a speed of v=12.0 m/s.
(c) If the resistance of the entire circuit loop is R=2.25 omega, what is the magnitude and direction (clockwise or counter-clockwise) of the current induced in the loop?
(d) What is the magnitude and direction (left or right) of the force that acts on the rod due to the induced current.
A conducting rod ab makes contact with metal rails as shown in the figure to the right. The apparatus is in a uniform magnetic field B= 1.20 T, perpendicular to the plane of the "loop" and directed into the page. Calculate the magnetic flux through this loop with fixed dimensions fo width (W) and length (L) given as in the figure. Now the rod ab is pulled to the right. Find the magnitude of the emf induced in the loop when the rod is moving to the right with a speed of v=12.0 m/s. If the resistance of the entire circuit loop is R=2.25 omega, what is the magnitude and direction (clockwise or counter-clockwise) of the current induced in the loop? What is the magnitude and direction (left or right) of the force that acts on the rod due to the induced current.Explanation / Answer
a. magnetic flux phi = NWLB cos theta
b. induced emf e = lvB cos theta = 0.2 * 12* 1.2 * cos 0 = 2.88 Volts
c. induced current i = emf/R = 2.88/2.25 = 1.28 A
d. magnetic force F = ilB sin theta = 1.28 * 0.2 * 1.2 =0.307 N to the left
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