Question

A solenoid of $1000$ turns per metre has a core with relative permeability $500 .$ Insulated windings of the solenoid carry an electric current of $5\, A$. The magnetic flux density produced by the solenoid is: (permeability of free space $\left.=4 \pi \times 10^{-7} H / m \right)$

• A. $\pi T$
• B. $2 \times 10^{-3} \pi T$
• C. $\frac{\pi}{5} T$
• D. $10^{-4} \pi T$

Answer 1

Answer: (A)

$B =\mu nI =\mu_{0} \mu_{ r } nI$
$B =4 \pi \times 10^{-7} \times 500 \times 1000 \times 5$
$B =\pi$ Tesla