MHT CET2011PhysicsMagnetic Effects of Current
Two circular coils P and Q are made from similar wire, but radius of Q is twice that of P . What should be the value of potential difference across them so that the magnetic induction at their centre may be same?
Options
- AV_ q =2 V_ p
- BV_ q =3 V_ p
- CV_ q =4 V_ p
- DV_ q = 1 4 V_ p
Correct answer
C. V_ q =4 V_ p
Step-by-step solution
B₁= ₀ 4 [ 2 I₁ T₁ ] and B₂= ₀ 4 [ 2 I₂ r₂ ] Since, B₁=B₂ and r₂=2 r₁, I₂=2 l₁ V₂ V₁ = I₂ R₂ I₁ R₁ = 2 I₁ I₁ 2 R₁ R₁ = 4 1