The earth's magnetic field at a given point is 0.5 x 10^-5 Wb/m2. This field is to be annulled by magnetic induction at the centre of a circular loop of radius 5 cm. The current reqired to be flown in the loop is nearly ------ A.
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# Answer- 0.4A
# Explaination-
Consider a loop of radius 5cm carrying currem I. Magnetic induction at center of circular conducting loop is given by
B=µ.n.I/2r
Here,
n=1
r=5cm=0.05m
µ=4π×10^-7
Also magnetic induction of conducting loop annulled magnetic field of earth at that point.
Hence B=0.5×10^-5 Wb/sq.m
Putting all these values,
0.5×10^-5=I×[4π×10^-7 ×1/(2×0.05)]
I=0.5×10^-5 ×0.1/(4π×10^-7)
I=5/4π
I=0.397A
Approx I=0.4A.
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