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Two circular coils P and Q are made from similar wires 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 the same ?

a
Vq=2Vp
b
Vq=3Vp
c
Vq=4Vp
d
Vq=14Vp

detailed solution

Correct option is C

B1=μ04π2πi1r1  and  B2=μ04π2πi2r2Given that r2=2r1,B1=B2 ∴ i2=2i1VqVp=i2×r2i1×r1=2i1i1×2r1r1=41

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