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A large conducting plane has a surface charge density 1*10^-4 C/m2. Find the electrostatic energy stored in a cubical volume of edge 1 cm in front of the plane.
Here,σ = 1.0×10-4 Cm-2a = 1.0×10-2 mV = a3 = 1.0×10-6 m3Electric field due to an infinite conducting plane is E = σ/εoElectric energy stored per unit volume is given byu = ½ (εoE2)Energy stored in the given volumeU = ½εoE2a3=> U = ½εo (σ/εo ) 2a3=> U = a3σ2/2ε0=> U = 1.0×10-6 ×(1.0×10-4)2/(2×8.85×10-12)=> U = 5.6×10-4 J
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