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Asked in GSEB Board July 2022 · Polarisation and bound charge
In a linear isotropic dielectric the polarisation is proportional to the field and points along it: ⃗P=χₑ⃗E.
The constant of proportionality χₑ is the electric susceptibility of the medium.
Since ⃗P and ⃗E are parallel, divide the magnitudes: χₑ=P/E.
With this definition χₑ has the unit (C m⁻²)/(N C⁻¹)=C² N⁻¹ m⁻², the same as ε₀.
So the susceptibility is P/E.
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