Question

You are located at distance of a 5 m from the axis of an extremely long uniformly charged cylinder of radius 1 mm; at this point, the electric field is $E_0$. If you double your distance from the cylinder, the electric field's magnitude will be: $O E_0$ $O 4E_0$ $O E_0/8$ $O E_0/4$ $O E_0/2$

          You are located at distance of a 5 m from the axis of an extremely long uniformly charged cylinder
of radius 1 mm; at this point, the electric field is $E_0$. If you double your distance from the cylinder,
the electric field's magnitude will be:

$O E_0$
$O 4E_0$
$O E_0/8$
$O E_0/4$
$O E_0/2$

You are located at distance of a 5 m from the axis of an extremely long uniformly charged cylinder
of radius 1 mm; at this point, the electric field is E0. If you double your distance from the cylinder,
the electric field's magnitude will be:

O E0
O 4E0
O E0/8
O E0/4
O E0/2

Added by Carol J.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Khoobchandra Agrawal

04/19/2022

Step 1

Step 1: The electric field due to a long uniformly charged cylinder is given by: $$E = \frac{2k\lambda}{r}$$ where $k$ is Coulomb's constant, $\lambda$ is the linear charge density of the cylinder, and $r$ is the distance from the axis of the cylinder. Show more…

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You are located at distance of a 5 m from the axis of an extremely long uniformly charged cylinder of radius 1 mm; at this point, the electric field is $E_o$. If you double your distance from the cylinder, the electric field's magnitude will be: O $E_o$ O $4E_o$ O $E_o/8$ O $E_o/4$ O $E_o/2$