Physics 37 Gauss's Law (13 of 16) Variable Charge Distribution: Sphere

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In this video I will find the electric field inside and outside a sphere of variable charge distribution.

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Dreamer

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taladiv

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robertheymer

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alexg

Sir, I have a question, when you multiplied the charge density function with the volume to find the quantity of charge inside the sphere:
You multiplied the volume dv as 4 pi r ^2, but isn't 4 pi r^2 the surface area of the sphere? Shouldn't we multiply with 4/3 * pi * r^3 since that's the volume of the sphere?

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maheshwaritanwar

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sathvikmalgikar

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prajwalmn

God bless you, sir, you are making my studies easier, thank you.
I have one question, why do you have to find the volume when evaluating the electric field inside the sphere?

joshuaiyinkanmi

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TaeTae-bubn

I have a question about electric field being constant on the gaussian surface. In this case that the charge distribution is not uniform throughout the volume, in the gaussian surface the charge density is not constant too. And if this is the case, the more charge is on one side of the gaussian surface and less on the other, how is electric field constant for gauss’s equation? Or am i wrong?

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