Question

The magnetic flux density created by an infinitely long conductor carrying a current \(I\) at a radial distance \(R\) is:

• A. \( \frac{\mu_0 I}{2\pi R} \)
• B. \( \frac{1}{2\pi R} \)
• C. \( \frac{\mu_0 I}{2\pi R^3} \)
• D. \( \frac{4\pi R^2 I}{3} \)

Hint:

Ampere’s Law states that the line integral of the magnetic field around a closed path is proportional to the enclosed current.

Answer 1

The Correct Option is A

According to Ampere’s Circuital Law, the magnetic field \(B\) around a long straight conductor carrying current \(I\) at a distance \(R\) is given by:
\[ B = \frac{\mu_0 I}{2\pi R} \] Since the magnetic flux density \(B\) represents the same quantity.