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COMEDK · Physics · 21. Magnetic Effects of Current

Two identical concentric coils \(X\) and \(Y\) carrying currents in the ratio \(1: 2\) are arranged in mutually perpendicular planes. If the magnetic field due to coil \(X\) is \(B\), then the net field at their common centre is

  1. A \(B\)
  2. B \(2 B\)
  3. C \(3 B\)
  4. D \(\sqrt{5} B\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\sqrt{5} B\)

Step-by-step Solution

Detailed explanation

As two coils are mutually perpendicular, so the field produced by them will also be perpendicular to each other as shown The two coils are identical, so magnetic field, \(B \propto I\) or \(\quad \frac{B_{x}}{B_{y}}=\frac{I_{x}}{I_{y}}=\frac{1}{2}\)…