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Question

# Which of the following graph shows curve between electric field (E) versus distance (r) from infinite line charge having constant positive charge density.

A
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B
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C
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D
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Solution

## The correct option is D We know that, due to infinite line charge of constant linear charge density (λ), EII=0 and E⊥=2kλr So, Enet=√E2II+E2⊥=2kλr since, k and λ are constant. ⇒Enet=Constantr ∴Enetr=constant On taking Enet at y− axis and r at x− axis, we get xy=constant This is the equation of rectangular hyperbola. Therefore, the curve between E and r is a rectangular hyperbola. Hence, option (d) is correct.

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