In figure, the conductors carry equal currents i. All straight segments are very long, and the two circular loops have equal radii. However, the currents around the loops have opposite senses. The ratio of the magnetic fields at a and b, at the centres of the two loops, is
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a
BaBb=π+1-π+1
b
BaBb=π-1π+1
c
BaBb=π-2π+2
d
BaBb=π+2π-2
answer is A.
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Detailed Solution
Magnetic field due to situation I and IIB→net =B→infinite wire +B→circular Case I: B→a=μ0I2πR⊙+μ0I2R⊙ B→a=μ0I2R1+ππ⊙ Case II: B→b=μI2πR⊙+μ0I2R⊗ B→b=μ0I2R1-ππ⊙ B→aB→b=1+π1-π
In figure, the conductors carry equal currents i. All straight segments are very long, and the two circular loops have equal radii. However, the currents around the loops have opposite senses. The ratio of the magnetic fields at a and b, at the centres of the two loops, is