two large metal plates each of area 1 metre square are placed facing each other at a distance 10 cm and carry equal and opposite charges on their faces the electric field between the plates is hundred Newton per coulomb find the charge on each plate
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"The charges on the plate is 8.85 * 10 ⁻¹⁰ C "
Given:
Area, A = 1
Distance between the plates, d = 10cm
Electric field, E = 100 N/C
Charge, q = ?
Solution:
We know that the surface charge density of two current carrying parallel metal plates is given by
σ = E * ε₀ ----------(1)
Where,
σ = surface charge density
The surface charge of the plate is given by
q = σ A --------(2)
Where,
q = surface charge
Thus, substituting eq 1 in eq 2, we get
q = E * ε₀ * A
Substituting the given values, we get,
q = 100 * 8.85 * 10⁻¹² * 1
q = 8.85 * 10 ⁻¹⁰ C
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