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AP EAMCET · PHYSICS · Magnetic Effects of Current

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

  1. A \(1.4 \mathrm{~A}\)
  2. B \(1.5 \mathrm{~A}\)
  3. C \(1.6 \mathrm{~A}\)
  4. D \(1.8 \mathrm{~A}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(1.4 \mathrm{~A}\)

Step-by-step Solution

Detailed explanation

We have \(\begin{aligned} & \mathrm{B}=\mu_0 \mathrm{nI} \\ & 4.4 \times 10^{-3}=\mu_0 \frac{\mathrm{N}}{1} \mathrm{I} \\ & 4.4 \times 10^{-3}=4 \pi \times 10^{-7} \times \frac{2500}{1} \times \mathrm{I} \\ & \quad[\because \mathrm{N}=500 \times 5=2500]\end{aligned}\)…
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