The electric field just above the face of a penny is 1.14×103 N/C. What is the surface charge density on the surface of that penny face?
Question
The electric field just above the face of a penny is 1.14×10^3 N/C. What is the surface charge density on the surface of that penny face?
Solution
The surface charge density (σ) on a surface can be calculated using Gauss's law. According to Gauss's law, the electric field (E) near a charged surface is given by the equation:
E = σ / ε0
where ε0 is the permittivity of free space, which is a constant equal to 8.85 × 10^-12 C^2/N·m^2.
We can rearrange this equation to solve for σ:
σ = E * ε0
Substituting the given values:
σ = (1.14 × 10^3 N/C) * (8.85 × 10^-12 C^2/N·m^2)
σ = 1.0086 × 10^-8 C/m^2
So, the surface charge density on the surface of the penny face is approximately 1.0086 × 10^-8 C/m^2.
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