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TS EAMCET · Physics · Magnetic Effects of Current

A solenoid of length 50 cm and radius 10 cm has two closely wound layers of windings 100 turns each. If a current of 2.5 A is passing through the windings, the magnetic field (in \(10^{-4} \mathrm{~T}\) ) at a point 5 cm from the axis is

  1. A \(2 \pi\)
  2. B \(31.4\)
  3. C \(4 \pi\)
  4. D Zero
Verified Solution

Answer & Solution

Correct Answer

(C) \(4 \pi\)

Step-by-step Solution

Detailed explanation

\(N = 2 \times 100 = 200\) \(n = \frac{N}{L} = \frac{200}{0.5 \mathrm{~m}} = 400 \mathrm{~m^{-1}}\) \(B = \mu_0 n I = (4 \pi \times 10^{-7} \mathrm{~T \cdot m/A})(400 \mathrm{~m^{-1}})(2.5 \mathrm{~A}) = 4 \pi \times 10^{-4} \mathrm{~T}\) The magnetic field in…
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