Wire is wound on a square frame, 30 cm by 30 cm, to form a coil of7 turns. The f

Question

Wire is wound on a square frame, 30 cm by 30 cm, to form a coil of7 turns. The frame is mounted on a horizontal shaft through its center (perpendicular to theplane of the diagram). The coil is in clockwise rotation, with a period of 0.060 s. A uniform,horizontal, magnetic field of 0.40 T is present. At a given instant, the plane of the coil forms a 60 degree angle with the horizontal, as shown. In Fig. 29.4b, at that instant, the emf induced in the coil is closestto: A) 13 V B) 23 V C) 26 V D) 3.6 V E) 2.1 V

Explanation / Answer

Period T = 0.06 s

Angular frequency w = 2(pi) / T = 104.71 rad / s

Area A = 30 cm * 30 cm = 0.3 m * 0.3 m = 0.09 m ^ 2

No.oftruns N = 7

Magnetic field B = 0.4 T

Angle = 60 degrees

Induced emf E = BANw cos 60

                        = 13.19 V

                        ~ 13 V

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