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KCET · Physics · Magnetic Effects of Current

Magnetic field at a distance \(r\) from an infinitely long straight conductor carrying a steady current varies as

  1. A \(\frac{1}{\sqrt{r}}\)
  2. B \(\frac{1}{r^{2}}\)
  3. C \(\frac{1}{r}\)
  4. D \(\frac{1}{r^{3}}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{1}{r}\)

Step-by-step Solution

Detailed explanation

We have \(B=\frac{\mu_{0}}{4 \pi} \cdot \frac{2 l}{r}\)
\(\therefore \mathrm{B} \propto \frac{1}{\mathrm{r}}\)