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Question: a) $P = \frac{\chi}{E^2}$ b) $P = \frac{\chi}{E}$ c) $P = \chi E$ d) $P = \chi^2 E$...

a) P=χE2P = \frac{\chi}{E^2} b) P=χEP = \frac{\chi}{E} c) P=χEP = \chi E d) P=χ2EP = \chi^2 E

A

P=χE2P = \frac{\chi}{E^2}

B

P=χEP = \frac{\chi}{E}

C

P=χEP = \chi E

D

P=χ2EP = \chi^2 E

Answer

Option (c)

Explanation

Solution

In a linear dielectric medium, the polarization PP is directly proportional to the electric field EE. The proportionality constant is the electric susceptibility χ\chi. Hence, we have:

P=χEP = \chi E