Electricity and Magnetism

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Electric Field Just Above a Charged Metal Sheet

EANDM-UILP81

A thin metal plate of dimensions $35 \: \rm {m} \times 35 \: \rm {m} $ carries a total charge of $+3.0 \: \mu \rm C$. Use Gauss's law to determine the magnitude of the electric field $15 \:\rm mm$ above the center of the metal plate. (Neglect the thickness of the metal plate).

Note: $\epsilon _{ 0 }=8.85\times 10^{ -12 }\: \frac { \text{C}^{ 2 } }{ \text{Nm}^{ 2 } } $