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A closely wound solenoid of length 1m has 5 layers of 500 turns each. I f the magnitude of magnetic field inside the solenoid near its centre is 4.4mT. The current carried is

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a

1.8 A

b

1.6 A

c

1.4 A

d

1.5 A

answer is A.

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Detailed Solution

$B = μ_{0} n i$

$n = \frac{N}{L} = \frac{5 \times 500}{1} = 2500$
$B = 4.4 \times 10^{- 3} T$
$μ_{0} = 4 π \times 10^{- 7} H / m$
$4.4 \times 10^{- 3} = 4 π \times 10^{- 7} \times 2500 \times i$
$i = \frac{4.4 \times 10^{- 3}}{4 π \times 10^{- 7} \times 2500} = \frac{4.4}{π} = 1.4 A$

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