Magnetic Effects Of Current Question 87

Question: A long solenoid has 200 turns per cm and carries a current of 2.5 amps. The magnetic field at its centre is $ ({\mu_{0}}=4\pi \times {{10}^{-7}},weber/amp\text{-}m) $ [MP PET 2000]

Options:

A) $ 3.14\times {{10}^{-2}}weber/m^{2} $

B) $ 6.28\times {{10}^{-2}}weber/m^{2} $

C) $ 9.42\times {{10}^{-2}}weber/m^{2} $

D) $ 12.56\times {{10}^{-2}}weber/,m^{2} $

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Answer:

Correct Answer: B

Solution:

$ B={\mu_{0}}ni=4\pi \times {{10}^{-7}}\times \frac{200}{{{10}^{-2}}}\times 2.5 $ $ =6.28\times {{10}^{-2}}Wb/m^{2} $