. A square metal plate with a length of 0.20 m and with a charge of 9.7 x 10 -7 C.
Find the electric field of the square metal plate.
Answer
Charge density of plate
σ=QA\sigma =\frac{Q}{A}σ=AQ
σ=9.7×10−70.202=24.25μC/m2\sigma =\frac{9.7\times10^{-7}}{0.20^2}=24.25\mu C/m^2σ=0.2029.7×10−7=24.25μC/m2
Electric fiele
E=σ2ϵ0=24.25×10−62(8.85×10−12)=1.37×106N/CE=\frac{\sigma}{2\epsilon_0}=\frac{24.25\times 10^{-6}}{2(8.85\times10^{-12})}=1.37\times10^{6}N/CE=2ϵ0σ=2(8.85×10−12)24.25×10−6=1.37×106N/C
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