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A closely wound solenoid of length $1 \mathrm{~m}$ has 5 layers of 500 turns each. If the magnitude of magnetic field inside the solenoid near its centre is $4.4 \mathrm{mT}$, the current carried is
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The correct answer is:
$1.4 \mathrm{~A}$
We have
$\begin{aligned} & \mathrm{B}=\mu_0 \mathrm{nI} \\ & 4.4 \times 10^{-3}=\mu_0 \frac{\mathrm{N}}{1} \mathrm{I} \\ & 4.4 \times 10^{-3}=4 \pi \times 10^{-7} \times \frac{2500}{1} \times \mathrm{I} \\ & \quad[\because \mathrm{N}=500 \times 5=2500]\end{aligned}$
$\Rightarrow \quad \mathrm{I}=1.4 \mathrm{~A}$
$\begin{aligned} & \mathrm{B}=\mu_0 \mathrm{nI} \\ & 4.4 \times 10^{-3}=\mu_0 \frac{\mathrm{N}}{1} \mathrm{I} \\ & 4.4 \times 10^{-3}=4 \pi \times 10^{-7} \times \frac{2500}{1} \times \mathrm{I} \\ & \quad[\because \mathrm{N}=500 \times 5=2500]\end{aligned}$
$\Rightarrow \quad \mathrm{I}=1.4 \mathrm{~A}$
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