Question 391: Electrostatics & Capacitance

Question

Find out the surface charge density at the intersection of point x = 3 m plane and x-axis, in the region of uniform line charge of 8 nC/m lying along the z-axis in free space.

Accepted Answer

Electric field due to wire is given by $$E = {{2k\lambda } \over r}$$
Electric field with surface charge density $$E = {\sigma  \over {{ \in _0}}}$$
$${{2k\lambda } \over r} = {\sigma  \over {{ \in _0}}}$$
$$ \Rightarrow 2{1 \over {4\pi { \in _0}}}{\lambda  \over r} = {\sigma  \over {{ \in _0}}}$$
$$ \Rightarrow {8 \over {2 	imes 3.14 	imes 3}} = \sigma $$
$$ \Rightarrow \sigma  = 0.424$$ n Cm
$$-$$2

Answer

0.424 nC m
$$-$$2

Answer

4.0 nC m
$$-$$2

Answer

47.88 C/m

Answer

0.07 nC m
$$-$$2

Electrostatics & Capacitance

Find out the surface charge density at the intersection of point x = 3 m plane and x-axis, in the region of uniform line charge of 8 nC/m lying along the z-axis in free space.

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