Magnetic Effects Of Current Question 59
Question: A solenoid is 1.0 metre long and it has 4250 turns. If a current of 5.0 ampere is flowing through it, what is the magnetic field at its centre $ [{\mu_{0}}=4\pi \times {{10}^{-7}},weber/amp-m] $ [MP PMT 1996]
Options:
A) $ 5.4\times {{10}^{-2}},weber/m^{2} $
B) $ 2.7\times {{10}^{-2}},weber/m^{2} $
C) $ 1.35\times {{10}^{-2}},weber/m^{2} $
D) $ 0.675\times {{10}^{-2}},weber/m^{2} $
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Answer:
Correct Answer: B
Solution:
Magnetic field at the centre of solenoid $ (B)={\mu_{0}}ni $ Where n = Number of turns /meter
$ \therefore ,B=4\pi \times {{10}^{-7}}\times 4250\times 5=2.7\times {{10}^{-2}}Wb/m^{2} $