An infinite line charge produces a field of 9 × 106 N/C at a distance of 3 cm. Calculate the linear charge density.

E=2kλr ⇒9×106=2×9×109×λ3×10-2 ⇒λ=1.5×10-5 C/m

An infinite line charge produces a field of 9 × 106 N/C at a distance of 3 cm. Calculate the linear charge density.

E=2kλr ⇒9×106=2×9×109×λ3×10-2 ⇒λ=1.5×10-5 C/m

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An infinite line charge produces a field of 9 × 10⁶ N/C at a distance of 3 cm. Calculate the linear charge density.

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$1.5 \times 10^{- 1} C / m$

$1.5 \times 10^{- 5} C / m$

$3 \times 10^{- 1} C / m$

$3 \times 10^{- 5} C / m$

answer is D.

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$E = \frac{2 kλ}{r} \Rightarrow 9 \times 10^{6} = \frac{2 \times 9 \times 10^{9} \times λ}{3 \times 10^{- 2}} \Rightarrow λ = 1.5 \times 10^{- 5} C / m$

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An infinite line charge produces a field of 9 × 106 N/C at a distance of 3 cm. Calculate the linear charge density.

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An infinite line charge produces a field of 9 × 10⁶ N/C at a distance of 3 cm. Calculate the linear charge density.