First slide

Magnetic flux and induced emf

Question

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

Moderate

A

$2 .5 \times 10^{- 7} weber$
B

$6.31 \times 10^{- 6} weber$
C

$5.2 \times 10^{- 5} weber$
D

$4.1 \times 10^{- 5} weber$

Solution

$\begin{array}{l} ϕ = μ_{0} niA = 4 π \times 10^{- 7} \times \frac{3000}{1 .5} \times 2 \times π {(2 \times 10^{- 2})}^{2} \\ = 6 .31 \times 10^{- 6} Wb \end{array}$

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