What is the surface density of an electric charge on a metal plate placed

What is the surface density of an electric charge on a metal plate placed in castor oil, if its charge creates a uniform electric field with a strength of 2.50×10 ^ 5 N / C.

Data: E – created field strength (E = 2.5 * 10 ^ 5 N / C).

Const: εkm – dielectric constant of castor oil (εkm = 4.6); ε0 – el. constant (ε0 = 8.854 * 10 ^ -12 F / m).

To find out the surface density of email. charge on the specified metal plate, consider the formula: E = σ / (2 * εkm * ε0), whence we express: σ = E * 2 * εkm * ε0.

Let’s perform the calculation: σ = E * 2 * εkm * ε0 = 2.5 * 10 ^ 5 * 2 * 4.6 * 8.854 * 10 ^ -12 ≈ 20.4 * 10 ^ -6 C / m2.

Answer: Surface density el. charge on the specified metal plate is 20.4 μC / m2.



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