MHT CET · Physics · Magnetic Effects of Current
A current carrying circular coil of radius ' R ' produces magnetic fields ' \(\mathrm{B}_1\) ' and ' \(\mathrm{B}_2\) ' at an axial point ' P ' at a distance ' x ' from its centre and at a point ' \(Q\) ' placed at its centre respectively. If \(B_1=\frac{B_2}{8}\), the value of ' \(x\) ' is
- A \(\mathrm{R} \sqrt{3}\)
- B \(\frac{\mathrm{R}}{\sqrt{3}}\)
- C \(\frac{\mathrm{R}}{2 \sqrt{3}}\)
- D \(\sqrt{3 R}\)
Answer & Solution
Correct Answer
(A) \(\mathrm{R} \sqrt{3}\)
Step-by-step Solution
Detailed explanation
\( B_1 = \frac{\mu_0 I R^2}{2 (R^2 + x^2)^{3/2}} \) \( B_2 = \frac{\mu_0 I}{2 R} \)
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