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State n prove Gauss theorem

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State n prove Gauss theorem

Posted by Smita Gupta 4 years, 6 months ago

CBSE > Class 12 > Physics

2 answers

Shreya Singh 4 years, 6 months ago

Gauss’s Theorem Statement: According to Gauss’s theorem the net-outward normal electric flux through any closed surface of any shape is equivalent to 1/ε0 times the total amount of charge contained within that surface. Proof of Gauss’s Theorem Statement: Let the charge be = q Let us construct the Gaussian sphere of radius = r Now, Consider , A surface or area ds having having ds (vector) Normal having the flux at ds: Flux at ds: d e = E (vector) d s (vector) cos θ But , θ = 0 Therefore, Total flux: C = f d Φ E 4 π r2 Therefore, σ = 1 / 4πɛo q / r2 × 4π r2 σ = q / ɛo

Abhay Pratap 4 years, 6 months ago

that's enough simple

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