Q.

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
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An infinite line charge produce a field of 7.182×108 N/C at a distance of 2 cm. The linear charge density is