Electrostatics Question 499

Question: An infinite line charge produce a field of 7.182×108N/C at a distance of 2 cm. The linear charge density is [MH CET 2004]

Options:

A) 7.27×104C/m

B) 7.98×104C/m

C) 7.11×104C/m

D) 7.04×104C/m

Show Answer

Answer:

Correct Answer: B

Solution:

Relation for electric field is given by E=λ2πε0r

(Given : E=7.182×108N/C ) r=2cm=2×102m

14πε0=9×109

therefore λ=2πε0rE=2×2πε0rE2

=1×2×102×7.182×1082×9×109=7.98×104C/m



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