An infinite line charge produce a field of 7.182×108 N/C at a distance of 2 cm. The linear charge density is
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a
7.27×10−4 C/m
b
7.98×10−4 C/m
c
7.11×10−4 C/m
d
7.04×10−4 C/m
answer is B.
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Detailed Solution
Relation for electric field is given by E=λ2πε0r (Given: E=7.182×108N/C ) r=2cm=2×10−2m14πε0=9×10−9⇒λ=2πε0rE=2×2πε0rE2=1×2×10−2×7.182×1082×9×109=7.98×10−4C/m