Electro Magnetic Induction And Alternating Currents Question 442
Question: A rectangular coil of 300 turns has an average area of average area of $ 25\ cm\times 10\ cm. $ The coil rotates with a speed of 50 cps in a uniform magnetic field of strength $ 4\times {{10}^{-2}}T $ about an axis perpendicular of the field. The peak value of the induced e.m.f. is (in volt) [KCET 2004]
Options:
A) $ 3000\pi $
B) $ 300\pi $
C) $ 30\pi $
D) $ 3\pi $
Show Answer
Answer:
Correct Answer: C
Solution:
Peak value of $ emf=e_{0}=\omega NBA=2\pi \nu NBA $ $ =2\pi \times 50\times 300\times 4\times {{10}^{-2}}\times (25\times {{10}^{-2}}\times 10\times {{10}^{-2}}) $ $ =30\ \pi \ volt $
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