In-the-rectangular-region-2-lt-x-lt-2-3-lt-y-lt-3-the-surface-charge-density-is-given-as-s-x-2-y-2-1-3-2-If-no-other-charge-is-present-find-E-at-P-0-0-1-

Question Number 82647 by Learner-123 last updated on 23/Feb/20

$${In}\:{the}\:{rectangular}\:{region},\:−\mathrm{2}<{x}<\mathrm{2}, \\ $$$$−\mathrm{3}<{y}<\mathrm{3},\:{the}\:{surface}\:{charge}\:{density} \\ $$$${is}\:{given}\:{as}\:\rho_{{s}} =\left({x}^{\mathrm{2}} +{y}^{\mathrm{2}} +\mathrm{1}\right)^{\frac{\mathrm{3}}{\mathrm{2}}} .\:{If}\:{no}\:{other} \\ $$$${charge}\:{is}\:{present},\:{find}\:{E}\:{at}\:{P}\left(\mathrm{0},\mathrm{0},\mathrm{1}\right). \\ $$

Commented by Learner-123 last updated on 23/Feb/20

$${Can}\:{this}\:{Q}.\:{be}\:{done}\:{with}\:{the}\:{help}\:{of}\: \\ $$$${symmetry}? \\ $$

Commented by Learner-123 last updated on 26/Feb/20

$$?? \\ $$

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