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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?

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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.

This problem has been solved

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