Electro Magnetic Induction And Alternating Currents Question 539

Question: A closely wound coil of 100 turns and area of cross-section $ 1\ cm^{2} $ has a coefficient of self-induction 1 mH. The magnetic induction in the centre of the core of the coil when a current of 2A flows in it, will be [MP PET 1992]

Options:

A) $ 0.022\ Wb{{m}^{-2}} $

B) $ 0.4\ Wb\ {{m}^{-2}} $

C) $ 0.8\ Wb\ {{m}^{-2}} $

D) $ 1\ Wb\ {{m}^{-2}} $

Show Answer

Answer:

Correct Answer: A

Solution:

$ B=\frac{{\mu_{0}}Ni}{2r}=\frac{4\pi \times {{10}^{-7}}\times 100\times 2\times \sqrt{\pi }}{2\times {{10}^{-2}}} $ $ =0.022\ wb/m^{2} $



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