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NEET2012PhysicsMagnetic Effects of CurrentActual

Two similar coils of radius R are lying concentrically with their planes at right angles to each other. The currents flowing in them are I and 2 I , respectively. The resultant magnetic field induction at the centre will be

Options

  1. A5 ₀ I 2 R
  2. B3 ₀ I 2 R
  3. C₀ I 2 R
  4. D₀ I R

Correct answer

A. 5 ₀ I 2 R

Step-by-step solution

The magnetic field (B) at the centre of circular current carrying coil of radius R and current I, B= ₀ I 2 R Similarly, if current =2 I , then Magnetic field = ₀ 2 I 2 R =2 B So, resultant magnetic field aligned & = B^2+(2 B)^2 = 5 B^2 = 5 B & = ₀ I 5 2 R aligned

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