A solenoid of 1000 turns per metre has a core with relative...

A solenoid of $1000$ turns per metre has a core with relative permeability $500 .$ Insulated windings of the solenoid carry an electric current of $5A .$ The magnetic flux density produced by the solenoid is:

(Permeability of free space $= 4\pi \times {10}^{- 7}H{m}^{- 1}$ )

Options

A $\left(\pi\right)T$
B $\left(2 \times {10}^{- 3}\pi\right)T$
C $\left(\dfrac{\pi}{5}\right)T$
D $\left({10}^{- 4}\pi\right)T$

Correct answer

A. $\left(\pi\right)T$

Step-by-step solution

$B = \munI = {\mu}_{0}{\mu}_{r}nI$

$B = 4\pi \times {10}^{- 7} \times 500 \times 1000 \times 5$

$B = \pi$ Tesla

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