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A closely wound solenoid 80 cm long has 5 layers of winding of 400 turns each. The diameter of the solenoid is 1.8 cm. If the current is 8.0 A, the magnitude of $\vec{B}$ inside the solenoid near its centre will be:

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$4 π \times 10^{- 3} T$

$3 π \times 10^{- 3} T$

$8 π \times 10^{- 3} T$

$6 π \times 10^{- 3} T$

answer is A.

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Detailed Solution

$n = \frac{T o t a l t u r n}{L e n g t h}$

$n = \frac{2000}{0.80}$

$B = μ_{\circ} n_{1}$

$= \frac{4 π \times 10^{- 7} \times 2000 \times 8.0}{0.80}$

$B = 8 π \times 10^{- 3} T$

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