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Question

Two long parallel wires situated at a distance 2a are carrying equal current ‘i’ in opposite direction as shown in figure. The value of magnetic field at a point P situated at equal distance (r) from both the wires is


 
  1. μ0iaπr
  2. μ0ia2πr2
  3. μ0iaπr2
  4. μ0ia2πr


Solution

The correct option is C μ0iaπr2

Magnetic field due to infinite long wire is B=μ0i2πr

From the rightangled triangle shown, sinθ=ar

Bnet=2Bsinθ=2μ0ia2πr.r=μ0iaπr2

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