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AP EAMCET · PHYSICS · Magnetic Effects of Current

A long straight wire of circular cross-section of radius ' \(a\) ' is carrying a steady current. The current is distributed uniformly across the cross-section of the wire. The ratio of the magnetic fields at points 0.5 a and 1.5 a from the centre of the wire is

  1. A \(1: 1\)
  2. B \(2: 3\)
  3. C \(1: 2\)
  4. D \(3: 4\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(3: 4\)

Step-by-step Solution

Detailed explanation

\(B_{0.5a} = \frac{\mu_0 I (0.5a)}{2\pi a^2} = \frac{0.5 \mu_0 I}{2\pi a}\) \(B_{1.5a} = \frac{\mu_0 I}{2\pi (1.5a)} = \frac{\mu_0 I}{3\pi a}\)…