Electro Magnetic Induction And Alternating Currents Question 439

Question: A wheel with ten metallic spokes each 0.50 m long is rotated with a speed of 120 rev/min in a plane normal to the earth’s magnetic field at the place. If the magnitude of the field is 0.4 Gauss, the induced e.m.f. between the axle and the rim of the wheel is equal to [AMU (Med.) 2002]

Options:

A) $ 1.256\times {{10}^{-3}},V $

B) $ 6.28\times {{10}^{-4}},V $

C) $ 1.256\times {{10}^{-4}},V $

D) $ 6.28\times {{10}^{-5}}V $

Show Answer

Answer:

Correct Answer: D

Solution:

$ e=Bl^{2}\pi \nu =0.4\times {{10}^{-4}}\times {{(0.5)}^{2}}\times (3.14)\times \frac{120}{60} $ $ =6.28\times {{10}^{-5}}V $



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