Question

A solenoid is 1.5$m$ long and its inner diameter is 4.0$cm$ . It has 3 layers of winding's of 1000 turns each and carries a current of 2.0 amperes.The magnetic flux for a cross-section of the solenoid is nearly.

• A. $4.1\times {10}^{-5}$ weber
• B. $5.2\times {10}^{-5}$ weber
• C. $6.31\times {10}^{-3}$ weber
• D. $2.5\times {10}^{-7}$ weber

Answer 1

The correct option is C $6.31\times {10}^{-3}$ weber

$\begin{array}{c}\phi ={\mu }_{0}niA\\ =4\pi \times {10}^{-7}\times \frac{3000}{1.5}\times 2\times \pi {\left(2\times {10}^{-2}\right)}^2\\ =6.31\times {10}^{-6}Wb\end{array}$

Hence, the option $C$ is the correct answer.