An infinite non-conducting plate has an area charge density ( ) of 5.60×10 8 C/m

Question

An infinite non-conducting plate has an area charge density () of 5.60×108 C/m2 uniformly distributed over its surface. An infinite non-conducting line charge with uniform density () of 6.20×107 C/m is placed parallel to the plates at a distance of 60 cm away. The infinite plate is oriented in the yz plane and is to the left of the line of charge which is along the y direction.

What is the total electric potential difference due to both charges between point P and the surface of the infinite plate?

These are the Answers I got, but were all wrong:

67.86x10^2

-67.86x10^2

57x10^2

124.87x10^2

-124.87x10^2

Explanation / Answer

eletric potential due to infinite plane sheet,

v1=2pi*eo*k*sigma*x

v1=2pi*9*10^9*5.6*10^-8*30*10^-2

v1=950.01 v

and

eletric potential due to infinite line,

v2=lambda/(2pi*eo)ln(r2/r1)

v2=6.2*10^-7*9*10^9*2*ln(0.6/0.3)

v2=7735.52 v

====>

dv=v2-v1

=7735.52-950.01

=67.855*10^2 V

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